From d311fedfbc9634d70660dd0e465ca8c045e5b65e Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Tue, 29 Jun 2021 10:18:00 -0400 Subject: [PATCH 01/20] Script to find any PR affecting a single file --- tools/pr_affecting_file.sh | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 tools/pr_affecting_file.sh diff --git a/tools/pr_affecting_file.sh b/tools/pr_affecting_file.sh new file mode 100644 index 0000000..f3680d2 --- /dev/null +++ b/tools/pr_affecting_file.sh @@ -0,0 +1,8 @@ +#!/bin/bash + +curl -s https://api.github.com/repos/lnbook/lnbook/pulls | jq '.[]|.number' | while read pr; do + git fetch --quiet github refs/pull/$pr/head + if git show --pretty=format:'' --name-only FETCH_HEAD | grep -q $1; then + echo "PR $pr" + fi +done From 4c8a77c76449aa9d4bd6313f903c6466b0dda98f Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Thu, 20 May 2021 10:09:43 -0700 Subject: [PATCH 02/20] Payment channel outline --- images/LN-protocol-channel-highlight.png | Bin 0 -> 276390 bytes payment_channels.asciidoc | 78 +++++++++++++++++++++++ 2 files changed, 78 insertions(+) create mode 100644 images/LN-protocol-channel-highlight.png create mode 100644 payment_channels.asciidoc diff --git a/images/LN-protocol-channel-highlight.png b/images/LN-protocol-channel-highlight.png new file mode 100644 index 0000000000000000000000000000000000000000..67fa662794ed065a0e3cc0300ba6db8d0a57f99f GIT binary patch literal 276390 zcmeGEg;!PWw+0MvKruiRkx)_;kWT4P1Zh-2O1eS1J49N#B~=imLmD<94HAk7NVjy# zrg`V`oHNeveB&GA{Rdu#J}S>rIjhW5tB z)(&PijvF`)qVOVCcH^N?G$6`O>16MTPyJ@5B-Pf8Y7v1^NHC z8s2DvDfiM5OZ5WPd{t)W+VP?3|NQ~@n>6Fx#>NvfvwQmb`mbNV-WN<=$(5(~<>ulV zMtcc;|Ni~%-Mdlg>53K>xkb&_3IF3On(LGOeAny1K&1lB`@hRyN+q&se^U7zQ`B6; zMBmJTuY19cPBBeT($SFzE<+*eS=GO?pPc!sRbDdel26&^*LUJd+YEhYZ>68o(>(3t 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payment channels, we have to take a small step back and understand how ownership and control work in Bitcoin. + +==== Holding signed transactions without broadcasting + +==== Chaining transactions without broadcasting + +==== Solving malleability (SegWit) + +==== A different way of using the Bitcoin system + +=== Constructing a payment channel + +==== Node public keys + +==== Generating a multisignature address + +=== Funding the channel + +==== The funding transaction + +==== The refund transaction + +=== Funding message flow + +==== The open_channel message + +==== The accept_channel message + +==== The funding_created message + +==== The funding_signed message + +==== The funding_locked message + +=== Closing the channel + +==== The cooperative close transaction + +=== Closing message flow + +==== The shutdown message + +==== The closing_signed message + +=== Updating the channel state + +==== The commitment transaction + +==== The commitment_signed message + +==== Asymmetric commitments + +==== Cheating with a prior state + +=== Revoking prior state + +==== Commitment revocation + +==== The revoke_and_ack message + +=== Penalty mechanism + +==== The penalty transaction + +=== Conclusion From de10f971b9f9e0fbf1a7da43ccc0ade0533d081f Mon Sep 17 00:00:00 2001 From: "Andreas M. 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payment channels, we have to take a small step back and und ==== A different way of using the Bitcoin system +==== Cryptographic protocol vs. message protocol + === Constructing a payment channel ==== Node public keys @@ -35,6 +37,10 @@ Before we understand payment channels, we have to take a small step back and und === Funding message flow +[[funding_message_flow]] +.The funding message flow +image::images/funding_message_flow.png["The funding message flow"] + ==== The open_channel message ==== The accept_channel message From a911296faac2b525184a667247d76ce30b5d67aa Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Sun, 30 May 2021 14:23:52 -0700 Subject: [PATCH 04/20] ownership and multisig --- payment_channels.asciidoc | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) diff --git a/payment_channels.asciidoc b/payment_channels.asciidoc index 08032b6..82cad12 100644 --- a/payment_channels.asciidoc +++ b/payment_channels.asciidoc @@ -13,6 +13,33 @@ image::images/LN-protocol-channel-highlight.png["The Lightning Network Protocol Before we understand payment channels, we have to take a small step back and understand how ownership and control work in Bitcoin. +The legal meaning of "ownership" is not necessarily the same as the practical and technical meaning of ownership Bitcoin. When someone says they "own" bitcoin they typically mean that they know the private key of a Bitcoin address that has some unspent transaction outputs (see <>). The private key allows them to sign a transaction to spend that bitcoin by transferring it to a different address. In Bitcoin "ownership" of bitcoin can be defined as the _ability to spend_ that bitcoin. + +In most cases, that definition of ownership will coincide with the legal definition, as the only one who has the private key is usually the "legal owner" of that bitcoin. However, that is not always the case. There are two key exceptions that make Bitcoin ownership distinct from the legal concept of ownerhsip. + +Firstly, more than one person can come to know the same private key, either through theft or because the original holder of the key makes a copy and gives it to someone else. Are all these people owners? In a practical sense they are, because any one of the people who know the private key can spend the bitcoin without the approval of any other. + +Secondly, Bitcoin has multisignature addresses where multiple private keys are needed to sign before spending (see <>). From a practical perspective, ownership depends on the quorum (K) and total (N) defined in the K-of-N scheme. If one or more people has enough keys to make quorum, then they *all* equally own the bitcoin. For example, a 1-of-10 multisignature scheme would allow any one (K) of 10 (N) signers to spend a bitcoin amount locked in that address. This is similar to the scenario where ten people have a copy of the same private key and any of them can independently spend it. But there is also the scenario where noone has quorum. In a 2-of-2 scheme like that used in the Lightning Network, each of the signers cannot spend the bitcoin without obtaining a signature from the other party. Who owns the bitcoin in that case? No one really has ownership because no one has control. They each own the equivalent of a voting share in the decision, but both votes are needed. The closest parallel to this in law is "tenancy in common" for real eastate or a corporation when no one shareholder has 50% of the vote. A key problem with a 2-of-2 scheme (in both Bitcoin and the law) is what happens if one of the parties is unavailable, or if there is a vote deadlock and any one party refuses to cooperate. + +The solution to this problem in both law and Bitcoin is to negotiate the "exit" condition before you enter into such an agreement. In real estate for example, a sale agreement or "quit claim" can be signed in advance. In a corporation you can have clauses to deal with sales or deadlocks or inheritance. In Bitcoin, we can solve a deadlock in a 2-of-2 by having a transaction signed by both signers to spend any funds, before putting those funds into the address. + +//// +If you have an unpublished but signed transaction from a 2-of-2 multisignature address, where some outputs are sent to an address you own, and additionally you exclusively know one of the private keys of the multisignature address, then you effectively own the bitcoin of that output. +Without your help no other transaction from the 2-of-2 multisignature address can be produced (as only you possesses one of the needed keys to sign a transaction that spends from this address) +However, without the help of anybody else you can transfer the funds to an address which you control. +You do that by broadcasting the transaction to the bitcoin network which will accept it as it has valid signatures. +As the funds in this transaction go to a regular address for which you control the private key you can again move the funds and thus you effectively own them. +On the Lightning Network ownership of your funds is almost always encoded with you having a pre-signed transaction spending from a 2-of-2 multisignature address. +While your funds on the Lightning Network are called to be "off-chain" they are actually very much on chain and very much owned by you just like you might own other bitcoin. + +One thing about the Lightning Network is however messing with this understanding of ownership. +On the Lightning Network there exist several presigned Transactions which allocate some of the bitcoin to you and some to your channel partner. +Without the ability to sequence transaction and invalidate old ones via the penalty based revocation mechanism (or other techniques) we could not define clear ownership as the funds would be distributed among its two owners according to which ever transaction would first be broadcasted and successfully mined. + +If the last paragraph of this summary was confusing: No worries! We are getting there now! + +//// + ==== Holding signed transactions without broadcasting ==== Chaining transactions without broadcasting From a2fbcefb5ee2511eecb77422f555caa2f474bf9e Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Tue, 15 Jun 2021 11:21:46 -0400 Subject: [PATCH 05/20] Message, connection, node ID --- 03_how_ln_works.asciidoc | 1 + images/on_off_chain.png | Bin 0 -> 62285 bytes payment_channels.asciidoc | 134 +++++++++++++++++++++++++++++++------- 3 files changed, 112 insertions(+), 23 deletions(-) create mode 100644 images/on_off_chain.png diff --git a/03_how_ln_works.asciidoc b/03_how_ln_works.asciidoc index dad57a8..6dc5492 100644 --- a/03_how_ln_works.asciidoc +++ b/03_how_ln_works.asciidoc @@ -27,6 +27,7 @@ We'll start with a one sentence definition of what the Lightning Network (LN) is **The Lightning Network (LN) is a peer-to-peer network of _payment channels_ implemented as smart contracts on the _Bitcoin blockchain_ as well as a communication protocol that defines how participants set up and execute these smart contracts** +[[what_is_payment_channel]] === What is a payment channel? There are several ways to describe a payment channel, depending on the context. 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Lightning Network Protocol Suite image::images/LN-protocol-channel-highlight.png["The Lightning Network Protocol Suite"] +=== A different way of using the Bitcoin system + +The Lightning Network is often described as a "Layer 2 Bitcoin Protocol", which makes it sound distinct from Bitcoin. Another way to describe Lightning is as a "different way to use Bitcoin". Let's explore that. + +Normally, Bitcoin transactions are broadcast to everyone and recorded on the Bitcoin blockchain in order to be considered "valid". As we will see however, if someone holds a pre-signed Bitcoin transaction that gives them the exclusive ability to spend that Bitcoin, they effectively own that Bitcoin even if they don't broadcast the transaction. + +Effectively, the pre-signed Bitcoin transaction is like a post-dated cheque, that can be "cashed" at anytime. Unlike the traditional banking system however, this transaction is not a "promise" of payment (also known as an IOU), but a verifiable bearer instrument that is equivalent to cash. The Bitcoin system guarantees that this pre-signed transaction can be broadcast and recorded at any time. + +The Lightning Network is simpy a different and creative way of using Bitcoin. In the Lightning Network a combination of recorded (on-chain) and pre-signed but withheld (off-chain) transactions form a "layer" of payments that is a faster, cheaper and more private way to use Bitcoin. You can see this relationship between on-chain and off-chain Bitcoin transactions in <>: + +[[on_off_chain]] +.Lightning payment channel made of on-chain and off-chain transactions +image::images/on_off_chain.png["Lightning payment channel made of on-chain and off-chain transactions"] + +Lightning is Bitcoin. It's just a different way of using the Bitcoin system. + === Bitcoin ownership and control Before we understand payment channels, we have to take a small step back and understand how ownership and control work in Bitcoin. -The legal meaning of "ownership" is not necessarily the same as the practical and technical meaning of ownership Bitcoin. When someone says they "own" bitcoin they typically mean that they know the private key of a Bitcoin address that has some unspent transaction outputs (see <>). The private key allows them to sign a transaction to spend that bitcoin by transferring it to a different address. In Bitcoin "ownership" of bitcoin can be defined as the _ability to spend_ that bitcoin. +When someone says they "own" bitcoin they typically mean that they know the private key of a Bitcoin address that has some unspent transaction outputs (see <>). The private key allows them to sign a transaction to spend that bitcoin by transferring it to a different address. In Bitcoin "ownership" of bitcoin can be defined as the _ability to spend_ that bitcoin. -In most cases, that definition of ownership will coincide with the legal definition, as the only one who has the private key is usually the "legal owner" of that bitcoin. However, that is not always the case. There are two key exceptions that make Bitcoin ownership distinct from the legal concept of ownerhsip. +Keep in mind that the term "ownership" as used in Bitcoin is distinct from the term "ownership" used in a legal sense. A thief who has the private keys and can spend Bitcoin is a de-facto "owner" of that Bitcoin even though they are not a lawful owner. + +[TIP] +==== +Bitcoin ownership is only about control of keys and the ability to spend the bitoin with those keys. As the popular Bitcoin saying by Andreas Antonopoulos goes: "Your keys, your coins - not your keys, not your coins" +==== + +==== Diversity of ownership and multisig + +Ownership and control of private keys is not always in the hands of one person. That's where things get interesting and complicated. Firstly, more than one person can come to know the same private key, either through theft or because the original holder of the key makes a copy and gives it to someone else. Are all these people owners? In a practical sense they are, because any one of the people who know the private key can spend the bitcoin without the approval of any other. -Secondly, Bitcoin has multisignature addresses where multiple private keys are needed to sign before spending (see <>). From a practical perspective, ownership depends on the quorum (K) and total (N) defined in the K-of-N scheme. If one or more people has enough keys to make quorum, then they *all* equally own the bitcoin. For example, a 1-of-10 multisignature scheme would allow any one (K) of 10 (N) signers to spend a bitcoin amount locked in that address. This is similar to the scenario where ten people have a copy of the same private key and any of them can independently spend it. But there is also the scenario where noone has quorum. In a 2-of-2 scheme like that used in the Lightning Network, each of the signers cannot spend the bitcoin without obtaining a signature from the other party. Who owns the bitcoin in that case? No one really has ownership because no one has control. They each own the equivalent of a voting share in the decision, but both votes are needed. The closest parallel to this in law is "tenancy in common" for real eastate or a corporation when no one shareholder has 50% of the vote. A key problem with a 2-of-2 scheme (in both Bitcoin and the law) is what happens if one of the parties is unavailable, or if there is a vote deadlock and any one party refuses to cooperate. +Secondly, Bitcoin has multisignature addresses where multiple private keys are needed to sign before spending (see <>). From a practical perspective, ownership depends on the quorum (K) and total (N) defined in the K-of-N scheme. If one or more people has enough keys to make quorum, then they *all* equally own the bitcoin. For example, a 1-of-10 multisignature scheme would allow any one (K) of 10 (N) signers to spend a bitcoin amount locked in that address. This is similar to the scenario where ten people have a copy of the same private key and any of them can independently spend it. -The solution to this problem in both law and Bitcoin is to negotiate the "exit" condition before you enter into such an agreement. In real estate for example, a sale agreement or "quit claim" can be signed in advance. In a corporation you can have clauses to deal with sales or deadlocks or inheritance. In Bitcoin, we can solve a deadlock in a 2-of-2 by having a transaction signed by both signers to spend any funds, before putting those funds into the address. +==== Joint ownership without independent control -//// -If you have an unpublished but signed transaction from a 2-of-2 multisignature address, where some outputs are sent to an address you own, and additionally you exclusively know one of the private keys of the multisignature address, then you effectively own the bitcoin of that output. -Without your help no other transaction from the 2-of-2 multisignature address can be produced (as only you possesses one of the needed keys to sign a transaction that spends from this address) -However, without the help of anybody else you can transfer the funds to an address which you control. -You do that by broadcasting the transaction to the bitcoin network which will accept it as it has valid signatures. -As the funds in this transaction go to a regular address for which you control the private key you can again move the funds and thus you effectively own them. -On the Lightning Network ownership of your funds is almost always encoded with you having a pre-signed transaction spending from a 2-of-2 multisignature address. -While your funds on the Lightning Network are called to be "off-chain" they are actually very much on chain and very much owned by you just like you might own other bitcoin. +There is also the scenario where *no one* has quorum. In a 2-of-2 scheme like that used in the Lightning Network, each of the signers cannot spend the bitcoin without obtaining a signature from the other party. Who owns the bitcoin in that case? No one really has ownership because no one has control. They each own the equivalent of a voting share in the decision, but both votes are needed. A key problem with a 2-of-2 scheme (in both Bitcoin and the law) is what happens if one of the parties is unavailable, or if there is a vote deadlock and any one party refuses to cooperate. -One thing about the Lightning Network is however messing with this understanding of ownership. -On the Lightning Network there exist several presigned Transactions which allocate some of the bitcoin to you and some to your channel partner. -Without the ability to sequence transaction and invalidate old ones via the penalty based revocation mechanism (or other techniques) we could not define clear ownership as the funds would be distributed among its two owners according to which ever transaction would first be broadcasted and successfully mined. +==== Preventing "locked" and unspendable Bitcoin -If the last paragraph of this summary was confusing: No worries! We are getting there now! +If one of the two signers of a 2-of-2 multisig cannot or will not sign, the funds become unspendable. Not only can this scenario occur accientally (loss of keys), but it can be used as a form of blackmail by either party: "I won't sign unless you pay me a part of the funds". -//// +Payment channels in Lightning are based on a 2-of-2 multisig address, with the two channel partners as signers in the multisig. At this time, channels are funded only by one of the two channel partners: When you choose to "open" a channel you deposit funds into the 2-of-2 multisig address with a transaction. Once that transaction is mined and the funds are in the multisig, you can't get them back without cooperation from your channel partner, because you need their signature (also) to spend the 2-of-2. -==== Holding signed transactions without broadcasting +In the next section, as we look at how to open (create) a Lightning channel, we will see how we can prevent loss of funds or any blackmail scenario between the two partners by implementing a fairness protocol for the channel construction. -==== Chaining transactions without broadcasting -==== Solving malleability (SegWit) +=== Constructing a payment channel + +In <, we described payment channels as a _financial relatonship_ between two Lightning Nodes, which is established by funding a 2-of-2 multisignature address from the two channel partners. -==== A different way of using the Bitcoin system +Let's assume that Alice's wallet wants to construct a payment channel to connect to Bob's store directly. First, the two nodes (Alice's and Bob's) have to establish an internet connection to each other, so that they can negotiate a payment channel. ==== Cryptographic protocol vs. message protocol -=== Constructing a payment channel +We will be using the term "protocol" to describe two different protocols in this scenario. First, there is a _message protocol_, which establishes how the Lightning Nodes communicate over the internet and what messages they exchange with each other. Second, there is the _cryptographic protocol_ which establishes how the two nodes negotiate and secure a payment channel and other smart contracts build with Bitcoin Script. + +==== Node private and public keys + +Every node on the Lightning Network is identified by a _node public key_. The public key uniquely identifies the specific node and is usually presented as a hexadecimal encoding. For example, Rene Pickhardt currently runs a Lightning Node (+ln.rene-pickhardt.de+) that is identified by the following node public key: + +---- +03efccf2c383d7bf340da9a3f02e2c23104a0e4fe8ac1a880c8e2dc92fbdacd9df +---- + +Each node generates a root private key when first initialized. The private key is kept private at all times (never shared) and securely stored in the node's wallet. From that private key, the node derives a public key which is the node identifier and shared with the network. Since the key space is enormous, as long as each node generates the private key randomly, it will have a unique public key, which can therefore uniquely identify it on the network. + +==== Node network address + +Additionally, every node also advertizes a network address where it can be reached, in one of several possible formats: + +TCP/IP:: An IPv4 or IPv6 address and TCP port number + +TCP/Tor:: A Tor "onion" address and TCP port number + +The network address identifier is written as +Address:Port+, which is consistent with international standards for network identifiers, as used for example on the web. -==== Node public keys +For example, Rene's node with node public key +03efcc...acd9df+ currently advertizes it's network address as the TCP/IP address: + +---- +144.76.235.20:9735 +---- + +[TIP] +==== +The default TCP port for the Lightning Network is 9735, but a node can choose to listen on any TCP port. +==== + +==== Node identifiers + +Together the node public key and network address are written in the following format, separated by an +@+ sign, as +NodeID@Address:Port+ + +So the full identifier for Rene's node would be: + +---- +03efccf2c383d7bf340da9a3f02e2c23104a0e4fe8ac1a880c8e2dc92fbdacd9df@144.76.235.20:9735 +---- + +The identifier above is often encoded in a QR code, making it easier for users to scan, if they want to connect their own node to the specific node identified by that address. + +Much like Bitcoin Nodes, Lightning Nodes advertize their presence on the Lightning Network by "gossiping" their node public key and network address. That way, other nodes can find them and keep an inventory (database) of all the known nodes that they can connect to and exchange the messages that are defined in the Lightning P2P message protocol. + +==== Connecting nodes as direct peers + +In order for Alice's node to connect to Bob's node, she will need Bob's node public key, or the full address containing the public key, IP or Tor address and port. Because Bob runs a store, Bob's node address can be retrieved from an invoice or a store payment page on the web. Alice can scan a QR code that contains the address and instruct her node to connect to Bob's node. + +Once Alice has connected to Bob's node, their nodes are now directly connected _peers_. + +[TIP] +==== +To open a payment channel, two nodes must first be _connected_ as direct peers by opening a connection over the internet (or Tor). +==== ==== Generating a multisignature address + + === Funding the channel ==== The funding transaction +==== Holding signed transactions without broadcasting + + +=== Refund before funding + +To prevent loss of funds, we cannot put our bitcoin into a 2-of-2 until we have a way to get a refund if things go wrong. Essentially, we plan the "exit" from the channel before we enter into this arrangement. + +Consider the legal construct of a prenuptual agreement, also known as a "prenup". When two people enter into a marriage their money is bound together by law (depending on jursidiction). Prior to entering into the marriage, they can sign an agreement that specifies how to separate their money if they dissolve their marriage through divorce. + +In Bitcoin, we can solve a deadlock in a 2-of-2 by having a transaction signed by both signers to spend any funds, before putting those funds into the address. + +==== Chaining transactions without broadcasting + +==== Solving malleability (SegWit) + ==== The refund transaction === Funding message flow From a9eda9275e7c16c4384e68248c1ab7d5cf0939c9 Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Thu, 17 Jun 2021 10:18:25 -0400 Subject: [PATCH 06/20] Message flow and BOLT2 --- payment_channels.asciidoc | 58 +++++++++++++++++++++++++++++---------- 1 file changed, 43 insertions(+), 15 deletions(-) diff --git a/payment_channels.asciidoc b/payment_channels.asciidoc index 34ca639..eeec8c5 100644 --- a/payment_channels.asciidoc +++ b/payment_channels.asciidoc @@ -65,10 +65,6 @@ In <, we described payment channels as a _financial rel Let's assume that Alice's wallet wants to construct a payment channel to connect to Bob's store directly. First, the two nodes (Alice's and Bob's) have to establish an internet connection to each other, so that they can negotiate a payment channel. -==== Cryptographic protocol vs. message protocol - -We will be using the term "protocol" to describe two different protocols in this scenario. First, there is a _message protocol_, which establishes how the Lightning Nodes communicate over the internet and what messages they exchange with each other. Second, there is the _cryptographic protocol_ which establishes how the two nodes negotiate and secure a payment channel and other smart contracts build with Bitcoin Script. - ==== Node private and public keys Every node on the Lightning Network is identified by a _node public key_. The public key uniquely identifies the specific node and is usually presented as a hexadecimal encoding. For example, Rene Pickhardt currently runs a Lightning Node (+ln.rene-pickhardt.de+) that is identified by the following node public key: @@ -125,14 +121,48 @@ Once Alice has connected to Bob's node, their nodes are now directly connected _ To open a payment channel, two nodes must first be _connected_ as direct peers by opening a connection over the internet (or Tor). ==== -==== Generating a multisignature address +=== Constructing the channel + +Now that Alice's and Bob's Lightning nodes are connected, they can begin the process of constructing a payment channel. In this section we will review the communications between their nodes, known as the _Lightning Peer Protocol for Channel Management_, and the cryptographic protocol that they use to build Bitcoin transactions. + +[TIP] +==== +We describe two different protocols in this scenario. First, there is a _message protocol_, which establishes how the Lightning Nodes communicate over the internet and what messages they exchange with each other. Second, there is the _cryptographic protocol_ which establishes how the two nodes construct and sign Bitcoin transactions. +==== + +[[peer_protocol_channel_management]] +==== Peer Protocol for Channel Management + +The Lightning Peer Protocol for Channel Management is defined in https://github.com/lightningnetwork/lightning-rfc/blob/master/02-peer-protocol.md[BOLT #2 - Peer Protocol for Channel Management]. In this chapter we will be reviewing the "Channel Establishment" and "Channel Closing" sections of BOLT#2 in more detail. + +==== Channel establishment message flow + +Channel establishment is achieved by the exchange of six messages between Alice and Bob's nodes (three from each peer): +open_channel+, +accept_channel+, +funding_created+, +funding_signed+, +funding_locked+ and +funding_locked+. The six messages are shown as a time-sequence diagram in <>: + +[[funding_message_flow]] +.The funding message flow +image::images/funding_message_flow.png["The funding message flow"] +In <> Alice and Bob's node are represented by the vertical lines "A" and "B" on either side of the diagram. A time-sequence diagram like this shows time flowing downwards, and messages flowing from one side to the other between the two communication peers. The lines are sloped down to represent the elapsed time needed to transmit each message and the direction of the message is shown by an arrow at the end of each line. +The channel establishment involves three parts. First, the two peers communicate their capabilities and expectations, with Alice initiating a request through +open_channel+ and Bob accepting the channel request through +accept_channel+. -=== Funding the channel +Second, Alice constructs the funding and refund transactions (as we will see later in this section) and sends +funding_created+ to Bob. Bob responds by sending back the necessary signatures with +funding_signed+. This interaction is the basis for the _cryptographic protocol_ to secure the channel and prevent theft. Alice can now broadcast the funding transaction (on-chain), to establish and anchor the payment channel. The transaction will need to be confirmed on the Bitcoin blockchain. + +Once the transaction has sufficient confirmations, Alice and Bob exchange a +funding_locked+ messages and the channel enters normal operating mode. + +===== The open_channel message + + + +===== The accept_channel message + +==== Generating a multisignature address ==== The funding transaction + + ==== Holding signed transactions without broadcasting @@ -150,21 +180,19 @@ In Bitcoin, we can solve a deadlock in a 2-of-2 by having a transaction signed b ==== The refund transaction -=== Funding message flow +===== The funding_created message + +===== The funding_signed message + +===== The funding_locked message + + -[[funding_message_flow]] -.The funding message flow -image::images/funding_message_flow.png["The funding message flow"] -==== The open_channel message -==== The accept_channel message -==== The funding_created message -==== The funding_signed message -==== The funding_locked message === Closing the channel From 50848a30abac0d84beb2eae2cd8acef6f8f629de Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Thu, 17 Jun 2021 11:27:09 -0400 Subject: [PATCH 07/20] open_channel, accept_channel, multisig --- payment_channels.asciidoc | 77 ++++++++++++++++++++++++++++++++++++++- 1 file changed, 76 insertions(+), 1 deletion(-) diff --git a/payment_channels.asciidoc b/payment_channels.asciidoc index eeec8c5..bb4839e 100644 --- a/payment_channels.asciidoc +++ b/payment_channels.asciidoc @@ -153,14 +153,89 @@ Once the transaction has sufficient confirmations, Alice and Bob exchange a +fun ===== The open_channel message +Alice's node requests a payment channel with Bob's node, by sending an +open_channel+ message. The message contains information about Alice's _expectations_ for the channel setup, which Bob may accept or decline. +The structure of the +open_channel+ message (taken from BOLT#2) is shown in <> below: + +[[open_channel_message]] +.The open_channel message +---- +[chain_hash:chain_hash] +[32*byte:temporary_channel_id] +[u64:funding_satoshis] +[u64:push_msat] +[u64:dust_limit_satoshis] +[u64:max_htlc_value_in_flight_msat] +[u64:channel_reserve_satoshis] +[u64:htlc_minimum_msat] +[u32:feerate_per_kw] +[u16:to_self_delay] +[u16:max_accepted_htlcs] +[point:funding_pubkey] +[point:revocation_basepoint] +[point:payment_basepoint] +[point:delayed_payment_basepoint] +[point:htlc_basepoint] +[point:first_per_commitment_point] +[byte:channel_flags] +[open_channel_tlvs:tlvs] +---- + +The fields contained in this message specify the channel parameters that Alice wants as well as various configuration settings from Alice's nodes that reflect the security expectations for the operation of the channel. + +Channel construction parameters include: + +chain_hash:: This identifies which blockchain (e.g. Bitcoin mainnet) will be used for this channel. It is usually the hash of the genesis block of that blockchain. + +funding_satoshis:: The amount Alice will use to fund the channel, which is the total channel capacity. + +push_msat:: An optional amount that Alice will immediately "push" to Bob as a payment upon channel funding. + +funding_pubkey:: The public key Alice will contribute to the 2-of-2 multisig that anchors this channel. + +_basepoint:: Master keys, used to derive child keys for various parts of the commitment, revocation, routed payment (HTLCs) and closing transactions. These will be used and explained in subsequent chapters. ===== The accept_channel message -==== Generating a multisignature address +In response to Alice's +open_channel+ message, Bob sends back the +accept_channel+ message shown in <> below: + +[[accept_channel_message]] +.The accept_channel message +---- +[32*byte:temporary_channel_id] +[u64:dust_limit_satoshis] +[u64:max_htlc_value_in_flight_msat] +[u64:channel_reserve_satoshis] +[u64:htlc_minimum_msat] +[u32:minimum_depth] +[u16:to_self_delay] +[u16:max_accepted_htlcs] +[point:funding_pubkey] +[point:revocation_basepoint] +[point:payment_basepoint] +[point:delayed_payment_basepoint] +[point:htlc_basepoint] +[point:first_per_commitment_point] +[accept_channel_tlvs:tlvs] +---- + +As you can see, this is similar to the +open_channel+ message and contains Bob's node expectations and configuration values. + +The two most important fields in +accept_channel+ that Alice will use to construct the payment channel are: + +funding_pubkey:: This is the public key Bob's node contributes for the 2-of-2 multisig address that anchors the channel. + +minimum_depth:: This is the number of confirmations that Bob's node expects for the funding transaction before it considers the channel "open" and ready to use. ==== The funding transaction +Once Alice's node receives Bob's +accept_channel+ message, it has the information necessary to construct the _funding transaction_ that anchors the channel to the Bitcoin blockchain. + +==== Generating a multisignature address + +The funding transaction sends some amount of bitcoin (+funding_satoshis+ from the +open_channel+ message) to a 2-of-2 multisignature output that is constructed from Alice and Bob's +funding_pubkey+ public keys. + + ==== Holding signed transactions without broadcasting From 754a5d0153805b4e5939fecc47ec33da544205c1 Mon Sep 17 00:00:00 2001 From: "Andreas M. 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zHSeT5xHXtD~#mj&`-HdYrpyha@6J?a$e zkN$mbWX7#Q25sq?jX4kP_E{iHeOR*B#$oQO`#$N3-TX=GUe6wWWnHFN>&L}cw)@&_ zwIWO7{68$R>%_RCcU-z@;j1WBzH$J<;7%d4qa;mI-n@oZV(woP)wZ|=@$%fDeiucr z?gIqQVP@r*wz&e}hvT|e^N3Z@y+_pivGvt|8iBL9b!p7QIi`6CFu?Yfg1I7y8Q>?LUA$PNpg>AS_XUX|7a8TU#zsEpa1{> literal 0 HcmV?d00001 diff --git a/payment_channels.asciidoc b/payment_channels.asciidoc index bb4839e..014fece 100644 --- a/payment_channels.asciidoc +++ b/payment_channels.asciidoc @@ -233,27 +233,74 @@ Once Alice's node receives Bob's +accept_channel+ message, it has the informatio ==== Generating a multisignature address -The funding transaction sends some amount of bitcoin (+funding_satoshis+ from the +open_channel+ message) to a 2-of-2 multisignature output that is constructed from Alice and Bob's +funding_pubkey+ public keys. +The funding transaction sends some amount of bitcoin (+funding_satoshis+ from the +open_channel+ message) to a 2-of-2 multisignature output that is constructed from Alice and Bob's +funding_pubkey+ public keys. +Alice's node constructs a multisignature script as shown in <> below: +[[A_B_multisig]] +.A 2-of-2 multisig script with Alice an Bob's funding_pubkey values +---- +2 2 CHECKMULTISIG +---- + +This script is encoded as a Pay-to-Witness-Script-Hash Bitcoin address, that looks something like this: + +---- +bc1q89ju02heg32yrqdrnqghe6132wek25p6sv6e564znvrvez7tq5zqt4dn02 +---- +==== Constructing the funding transaction + +Alice's node can now construct a funding transaction, sending the amount agreed with Bob (funding_satoshis) to the 2-of-2 multisig address. Let's assume that funding_satoshis was 140,000 and Alice is spending a 200,000 satoshi output and creating 60,000 satoshi change. The transaction will look something like this: + +[[A_B_funding_Tx]] +.Alice constructs the funding transaction +image::images/A_B_funding_Tx.png["Alice constructs the funding transaction"] + +Alice *does not broadcast* this transaction, because doing so would put her 140,000 satoshi at risk. Once spent to the 2-of-2 multisig, there is no way for Alice to recover her money without Bob's signature. ==== Holding signed transactions without broadcasting +An important Bitcoin feature that makes Lightning possible is the ability to construct and sign transactions, but not broadcast them. The transaction is *valid* in every way, but until it is broadcast and confirmed on the Bitcoin blockchain it does is not recognized and its outputs are not spendable as they have not been create on the blockchain. We will use this capability many times in the Lightning Network and Alice's node uses the capability when constructing the funding transaction: holding it and not broadcasting it yet. -=== Refund before funding +==== Refund before funding -To prevent loss of funds, we cannot put our bitcoin into a 2-of-2 until we have a way to get a refund if things go wrong. Essentially, we plan the "exit" from the channel before we enter into this arrangement. +To prevent loss of funds, Alice cannot put her bitcoin into a 2-of-2 until she has a way to get a refund if things go wrong. Essentially, she must plan the "exit" from the channel before she enters into this arrangement. Consider the legal construct of a prenuptual agreement, also known as a "prenup". When two people enter into a marriage their money is bound together by law (depending on jursidiction). Prior to entering into the marriage, they can sign an agreement that specifies how to separate their money if they dissolve their marriage through divorce. In Bitcoin, we can solve a deadlock in a 2-of-2 by having a transaction signed by both signers to spend any funds, before putting those funds into the address. +==== The refund transaction + +Alice will therefore construct the "refund transaction" immediately after constructing (but not broadcasting) the funding transaction. The refund transaction is simple: it just spends the 2-of-2 multisig back to Alice's wallet. It will look like this: + +[[A_B_fund_refund_Tx]] +.Alice also constructs the refund transaction +image::images/A_B_fund_refund_Tx.png["Alice also constructs the refund transaction"] + ==== Chaining transactions without broadcasting -==== Solving malleability (SegWit) +So now, Alice has the two transactions shown in <> constructed. But you might be wondering how is this possible? Alice hasn't broadcast the funding transaction to the Bitcoin blockchain. As far as everyone is concerned that transaction doesn't exist. The refund transaction is constructed so as to *spend* one of the outputs of the funding transaction, even though that output doesn't exist yet either. How can you spend an output that hasn't been confirmed on the Bitcoin blockchain? -==== The refund transaction +The refund transaction is not yet a valid transaction. In order to be a valid transaction two things must happen: + +* The funding transaction must be broadcast and confirmed by the Bitcoin blockchain +* The refund transaction's input needs Alice and Bob's signature + +But even though these two things haven't happened and even though Alice's node hasn't broadcast the funding transaction, she can still construct the refund transaction. She can do so because she can calculate the funding transaction's hash and reference it as an input in the refund transaction. + +Notice how Alice has calculated +6da3c2...387710+ as the funding transaction hash? If and when the funding transaction is broadcast, that hash will be recorded as the transaction ID of the funding transaction. Therefore, the 0 output of the funding transaction (the 2-of-2 address output) will then be referenced as output ID +6da3c2...387710:0+. The refund transaction can be constructed to spend that funding transaction output even though it doesn't exist yet because Alice knows what it's identifier will be once confirmed. + +This means that Alice can create a chained transaction by referencing an output that doesn't yet exist, knowing that the reference will be valid if the funding transaction is confirmed, making the refund transaction valid too. As we will see in the next section, this "trick" of chaining transactions before they are broadcast requires a very important feature of Bitcoin that was introduced in August of 2017: _Segregated Witness_. + +==== Solving malleability (Segregated Witness) + +Alice has to depend on the transaction ID of the funding transaction being known before confirmation. But before the introduction of Segregated Witness (a.k.a Segwit) in August 2017, this was not sufficient to protect Alice. Because of the way transactions were constructed with the signatures (witnesses) included in the transaction ID, it was possible for a third party (e.g. Bob) to broadcast an alternative version of a transaction with a malleated (modified) transaction ID. This is known as _Transaction Malleability_ and made it impossible to implement payment channels securely. + +If Bob could modify Alice's funding transaction before it was confirmed and produce a replica that had a different transaction ID, Bob could make Alice's refund transaction invalid and hijack her bitcoin. Alice would be at Bob's mercy to get a signature to release her funds and could easily be blackmailed. Bob couldn't steal the funds, but he could prevent Alice from getting them back. + +The introduction of Segwit made transaction IDs immutable, meaning that Alice could be sure that the transaction ID of the funding tranaction would not change. As a result, Alice can be confident that if she gets Bob's signature on the refund transaction she has a way to recover her money. She now has a way to implement the Bitcoin equivalent of a "prenup" before locking her funds into the multisig. ===== The funding_created message From 2bc569381333c4eac83045daeddceb3549de07c5 Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Sun, 20 Jun 2021 14:24:23 -0400 Subject: [PATCH 09/20] funding completed --- payment_channels.asciidoc | 43 +++++++++++++++++++++++++++++++++++++-- 1 file changed, 41 insertions(+), 2 deletions(-) diff --git a/payment_channels.asciidoc b/payment_channels.asciidoc index 014fece..8ceabbd 100644 --- a/payment_channels.asciidoc +++ b/payment_channels.asciidoc @@ -273,7 +273,7 @@ In Bitcoin, we can solve a deadlock in a 2-of-2 by having a transaction signed b ==== The refund transaction -Alice will therefore construct the "refund transaction" immediately after constructing (but not broadcasting) the funding transaction. The refund transaction is simple: it just spends the 2-of-2 multisig back to Alice's wallet. It will look like this: +Alice will therefore construct the "refund transaction" immediately after constructing (but not broadcasting) the funding transaction. The refund transaction spends the 2-of-2 multisig back to Alice's wallet. In practice, it is a bit more complicated as we will see in subsequent chapters, but for now let's keep things simple and assume it looks like this: [[A_B_fund_refund_Tx]] .Alice also constructs the refund transaction @@ -304,16 +304,55 @@ The introduction of Segwit made transaction IDs immutable, meaning that Alice co ===== The funding_created message +Now that Alice has constructed the necessary transactions, the channel construction message flow continues. Alice transmits the +funding_created+ message to Bob. In <> below you can see the contents of this message: + +[[funding_created_message]] +.The funding_created message +---- +[32*byte:temporary_channel_id] +[sha256:funding_txid] +[u16:funding_output_index] +[signature:signature] +---- + +With this message, Alice gives Bob the important information about the funding transaction that anchors the payment channel: + +funding_txid:: This is the transaction ID of the funding transaction, and is used to create the channel ID once the channel is established + +funding_output_index:: This is the output index, so Bob knows which output of the transaction (e.g. output 0) is the 2-of-2 multisig output funded by Alice. This is also used to form the channel ID. + +Finally, Alice also sends the +signature+ corresponding to Alice's funding_pubkey and used to spend from the 2-of-2 multisig, so that the refund transaction can be signed. + ===== The funding_signed message -===== The funding_locked message +After receiving the +funding_created+ message from Alice, Bob now knows the funding transaction ID and output index. The channel ID is made by a bitwise "exclusive or" (XOR) of the funding transaction ID and output index: +---- +channel_id = funding_txid XOR funding_output_index +---- +Bob will also need to send Alice his signature for the refund transaction, based on Bob's funding_pubkey which formed the 2-of-2 multisig. This will allow Alice to complete the refund transaction with all necessary signatures and be sure her money is refundable in case something goes wrong. +Bob constructs a +funding_signed+ message and sends it to Alice. In <> below, we see the contents of this message: +[[funding_signed_message]] +.The funding_signed message +---- +[channel_id:channel_id] +[signature:signature] + +---- +==== Broadcasting the funding transaction + +Upon receiving the +funding_signed+ message from Bob, Alice now has both signatures needed to sign the refund transaction. Her "exit plan" is now secure and therefore she can broadcast the funding transaction without fear of having her funds locked. If anything goes wrong, Alice can simply broadcast the refund transaction and get her money back, without any further help from Bob. + +Alice now sends the funding transaction to the Bitcoin network, so that it can be mined into the blockchain. Both Alice and Bob will be watching for this transaction and waiting for +minimum_depth+ confirmations (e.g. 6 confirmations) on the Bitcoin blockchain. + +===== The funding_locked message +As soon as the funding transaction has reached the required number of confirmations, both Alice and Bob send the +funding_locked+ message to each other and the channel can go into normal operation. === Closing the channel From 85fc22d74495eb36adeca8d65e8ed5bdf74c9cb0 Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Mon, 21 Jun 2021 12:57:29 -0400 Subject: [PATCH 10/20] competing commitment transactions, intro to revocation --- payment_channels.asciidoc | 45 +++++++++++++++++++++++++++++++++------ 1 file changed, 39 insertions(+), 6 deletions(-) diff --git a/payment_channels.asciidoc b/payment_channels.asciidoc index 8ceabbd..9880431 100644 --- a/payment_channels.asciidoc +++ b/payment_channels.asciidoc @@ -259,6 +259,11 @@ image::images/A_B_funding_Tx.png["Alice constructs the funding transaction"] Alice *does not broadcast* this transaction, because doing so would put her 140,000 satoshi at risk. Once spent to the 2-of-2 multisig, there is no way for Alice to recover her money without Bob's signature. +.Dual-funded payment channels +**** +In the current implementation of Lightning, channels are funded only by the node initiating the channel (Alice in our example). Dual-funded channels have been proposed, but not yet implemented. In a dual-funded channel, both Alice and Bob would contribute inputs to the funding transaction. Dual-funded channels require a slightly more complicated message flow and cryptographic protocol, so they have not been implemented yet but are planned for a future update to the Lightning BOLTS. +**** + ==== Holding signed transactions without broadcasting An important Bitcoin feature that makes Lightning possible is the ability to construct and sign transactions, but not broadcast them. The transaction is *valid* in every way, but until it is broadcast and confirmed on the Bitcoin blockchain it does is not recognized and its outputs are not spendable as they have not been create on the blockchain. We will use this capability many times in the Lightning Network and Alice's node uses the capability when constructing the funding transaction: holding it and not broadcasting it yet. @@ -354,18 +359,36 @@ Alice now sends the funding transaction to the Bitcoin network, so that it can b As soon as the funding transaction has reached the required number of confirmations, both Alice and Bob send the +funding_locked+ message to each other and the channel can go into normal operation. +=== Sending payments across the channel -=== Closing the channel +The channel is ready. In its initial state, all the capacity (140,000 satoshis) is on Alice's side, meaning that Alice can send payments to Bob across the channel, but Bob has no funds to send to Alice. -==== The cooperative close transaction +Let's assume that Alice wants to send 70,000 satoshis to Bob to pay her bill at Bob's coffee shop. -=== Closing message flow +In the next few sections we will show how payments are made across the payment channel and how the _channel state_ is updated. + +==== Splittng the balance + +In principle, sending a payment from Alice to Bob is simply a matter of redistributing the balance of the channel. Before the payment is sent, Alice has 140,000 satoshis and Bob has none. After the 70,000 satoshi payment is sent, Alice has 70,000 satoshis and Bob has 70,000 satoshis. + +Therefore, all Alice and Bob have to do is create and sign a transaction that spends the 2-of-2 multisig to two outputs paying Alice and Bob their corresponding balance. We call this updated transaction a _commitment transaction_. This signed and valid transaction can be used by either channel partner at any time to close the channel by broadcasting the it to the Bitcoin network. + +Since they both have this commitment transaction and can use it at any time, they can also just hold it and not broadcast it. It's their guarantee of a fair exit from the channel. + +==== Spending the same outputs multiple times + +You may be wondering how it is possible for Alice and Bob to spend the 2-of-2 output created by the funding transaction in a new commitment transaction. Isn't this a "double-spend" that the Bitcoin system is meant to prevent? + +It is indeed! In fact, we rely on Bitcoin's ability to *prevent* a double spend to make Lightning work. No matter how many commitment transactions Alice and Bob construct and sign, only one of them can actually get confirmed. As long as Alice and Bob hold these transactions and don't broadcast them, the funding output is unspent. But if a commitment transaction is broadcast and confirmed, it will spend the funding output. If Alice or Bob attempt to broadcast more than one commitment transaction, only one of them will be confirmed and the others will be rejected as attempted (and failed) double-spends. -==== The shutdown message -==== The closing_signed message -=== Updating the channel state + +==== Revoking old commitment transactions + +You may have spotted a problem with our simple commitment transaction. Alice is still holding the "refund" transaction from when the channel was funded. + +==== Updating the channel state ==== The commitment transaction @@ -385,4 +408,14 @@ As soon as the funding transaction has reached the required number of confirmati ==== The penalty transaction +=== Closing the channel + +==== The cooperative close transaction + +=== Closing message flow + +==== The shutdown message + +==== The closing_signed message + === Conclusion From 6fa2564b9453a874d7a90b45ee71765087d7d1d2 Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Fri, 25 Jun 2021 15:55:18 -0400 Subject: [PATCH 11/20] asymmetric, delayed, revocable commitments --- appendix-bitcoin-fundamentals-review.asciidoc | 1 + images/asymmetric_1.png | Bin 0 -> 103285 bytes images/asymmetric_delayed_1.png | Bin 0 -> 117446 bytes images/asymmetric_delayed_revocable_1.png | Bin 0 -> 122739 bytes images/commitment_2.png | Bin 0 -> 36853 bytes images/competing_commitments_1.png | Bin 0 -> 155815 bytes payment_channels.asciidoc | 130 +++++++++++++++--- 7 files changed, 114 insertions(+), 17 deletions(-) create mode 100644 images/asymmetric_1.png create mode 100644 images/asymmetric_delayed_1.png create mode 100644 images/asymmetric_delayed_revocable_1.png create mode 100644 images/commitment_2.png create mode 100644 images/competing_commitments_1.png diff --git a/appendix-bitcoin-fundamentals-review.asciidoc b/appendix-bitcoin-fundamentals-review.asciidoc index a2a8c43..871f9ba 100644 --- a/appendix-bitcoin-fundamentals-review.asciidoc +++ b/appendix-bitcoin-fundamentals-review.asciidoc @@ -399,6 +399,7 @@ Output-level absolute timelocks are implemented by the operator +CHECKLOCKTIMEVE Output-level relative timelocks are implemented by the operator +CHECKSEQUENCEVERIFY+, often shortened in conversation as _CSV_. Relative timelocks implement a spending constraint that is relative to the confirmation of the transaction, expressing the equivalent of "can't be spent until 1024 blocks after confirmation". +[[conditional_scripts]] ==== Scripts with multiple conditions One of the more powerful features of Bitcoin Script is flow control, also known as conditional clauses. You are probably familiar with flow control in various programming languages that use the construct +IF...THEN...ELSE+. 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transaction. The refund transaction spends the 2-of-2 multisig back to Alice's wallet. In practice, it is a bit more complicated as we will see in subsequent chapters, but for now let's keep things simple and assume it looks like this: +Alice will therefore construct the "refund transaction" immediately after constructing (but not broadcasting) the funding transaction. The refund transaction spends the 2-of-2 multisig back to Alice's wallet. We call this refund transaction a _commitment transaction_ as it commits both channel partners to distributing the channel balance fairly. Since Alice funded the channel on her own, she gets the entire balance and both Alice and Bob commit to refunding Alice with this transaction. + +In practice, it is a bit more complicated as we will see in subsequent chapters, but for now let's keep things simple and assume it looks like this: [[A_B_fund_refund_Tx]] .Alice also constructs the refund transaction image::images/A_B_fund_refund_Tx.png["Alice also constructs the refund transaction"] +Later in this chapter we will see how more commitment transactions can be made to distribute the balance of the channel in different amounts. + ==== Chaining transactions without broadcasting So now, Alice has the two transactions shown in <> constructed. But you might be wondering how is this possible? Alice hasn't broadcast the funding transaction to the Bitcoin blockchain. As far as everyone is concerned that transaction doesn't exist. The refund transaction is constructed so as to *spend* one of the outputs of the funding transaction, even though that output doesn't exist yet either. How can you spend an output that hasn't been confirmed on the Bitcoin blockchain? @@ -371,42 +375,134 @@ In the next few sections we will show how payments are made across the payment c In principle, sending a payment from Alice to Bob is simply a matter of redistributing the balance of the channel. Before the payment is sent, Alice has 140,000 satoshis and Bob has none. After the 70,000 satoshi payment is sent, Alice has 70,000 satoshis and Bob has 70,000 satoshis. -Therefore, all Alice and Bob have to do is create and sign a transaction that spends the 2-of-2 multisig to two outputs paying Alice and Bob their corresponding balance. We call this updated transaction a _commitment transaction_. This signed and valid transaction can be used by either channel partner at any time to close the channel by broadcasting the it to the Bitcoin network. +Therefore, all Alice and Bob have to do is create and sign a transaction that spends the 2-of-2 multisig to two outputs paying Alice and Bob their corresponding balance. We call this updated transaction a _commitment transaction_. + +In <> we see several commitment transactions: + +[[competing_commitments_1]] +.Multiple commitment transactions +image::images/competing_commitments_1.png[Multiple commitment transactions] + +The first commitment transaction shown in <> is the "refund transaction" that Alice constructed before funding the channel. In the diagram, we show this as "Commitment #0". After Alice pays Bob 70,000 satoshis, the new commitment transaction ("Commitment #1") has two outputs paying Alice and Bob their respective balance. We show two more commitment transactions (Commitment #2 and Commitment #3) which represent Alice paying Bob an additional 10,000 satoshis and then 20,000 satoshis respectively. + +Each signed and valid commitment transaction can be used by either channel partner at any time to close the channel by broadcasting it to the Bitcoin network. Since they both have the most recent commitment transaction and can use it at any time, they can also just hold it and not broadcast it. It's their guarantee of a fair exit from the channel. -Since they both have this commitment transaction and can use it at any time, they can also just hold it and not broadcast it. It's their guarantee of a fair exit from the channel. +==== Competing commitments -==== Spending the same outputs multiple times +You may be wondering how it is possible for Alice and Bob to have multiple commitment transactions, all of them attempting to spend the same 2-of-2 output from the funding transaction. Aren't these commitment transactions conflicting? Isn't this a "double-spend" that the Bitcoin system is meant to prevent? -You may be wondering how it is possible for Alice and Bob to spend the 2-of-2 output created by the funding transaction in a new commitment transaction. Isn't this a "double-spend" that the Bitcoin system is meant to prevent? +It is indeed! In fact, we rely on Bitcoin's ability to *prevent* a double spend to make Lightning work. No matter how many commitment transactions Alice and Bob construct and sign, only one of them can actually get confirmed. -It is indeed! In fact, we rely on Bitcoin's ability to *prevent* a double spend to make Lightning work. No matter how many commitment transactions Alice and Bob construct and sign, only one of them can actually get confirmed. As long as Alice and Bob hold these transactions and don't broadcast them, the funding output is unspent. But if a commitment transaction is broadcast and confirmed, it will spend the funding output. If Alice or Bob attempt to broadcast more than one commitment transaction, only one of them will be confirmed and the others will be rejected as attempted (and failed) double-spends. +As long as Alice and Bob hold these transactions and don't broadcast them, the funding output is unspent. But if a commitment transaction is broadcast and confirmed, it will spend the funding output. If Alice or Bob attempt to broadcast more than one commitment transaction, only one of them will be confirmed and the others will be rejected as attempted (and failed) double-spends. +If more than one commitment transaction are broadcast, there are many factors that will determine which one gets confirmed first: the amount of fees included, the speed of propagation of these competing transactions, network topology, etc. Essentially it becomes a race without a certain outcome. That doesn't sound very secure. +==== Cheating with old commitment transactions +Let's look more carefully at the commitment transactions in <>. All four commitment transactions are signed and valid. But only the last one accurately reflects the most recent channel balances. In this particular scenario, Alice has an opportunity to cheat, by broadcasting an older commitment and getting it confirmed on the Bitcoin blockchain. Let's say Alice transmits Commitment #0 and gets it confirmed: she will effectively close the channel and take all 140,000 satoshis herself. In fact, every commitment except for the last one will leave Alice in a better position and allow her to "cancel" the payments reflected in the channel. + +In the next section we will see how the Lightning Network resolves this problem - preventing older commitment transactions from being used by the channel partners by a mechanism of revocation and penalties. There are other ways to prevent the transmission of older commitment transactions but they require an upgrade to Bitcoin called _input rebinding_. We discuss this in more detail in <>. ==== Revoking old commitment transactions -You may have spotted a problem with our simple commitment transaction. Alice is still holding the "refund" transaction from when the channel was funded. +Bitcoin transactions do not expire and cannot be "cancelled". Neither can they be stopped or censored once they have been broadcast. So how do we "revoke" a transaction that another person holds that has already been signed? -==== Updating the channel state +The solution used in Lightning is another example of a fairness protocol. Instead of trying to control the ability to broadcast transaction, there is a built-in _penalty mechanism_ that ensures it is not in the best interest of a cheater to transmit an old commitment transaction. They can always broadcast it, but they will most likely lose money if they do so. -==== The commitment transaction +[TIP] +==== +The word "revoke" is a misnomer because it implies that older commitments are somehow made invalid and cannot be broadcast and confirmed. But this is not the case, since valid Bitcoin transactions cannot be "revoked". Instead, the Lightning protocol uses a penalty mechanism to punish the channel partner who broadcasts an old commitment. +==== -==== The commitment_signed message +There are three elements that make up the Lightning protocol's revocation and penalty mechanism: -==== Asymmetric commitments +* Asymmetric commitment transactions - Alice's commitment transactions are slightly different from those held by Bob. -==== Cheating with a prior state +* Delayed spending - The payment to the party holding the commitment transaction is delayed (timelocked), whereas the payment to the other party can be claimed immediately. -=== Revoking prior state +* Revokation keys to unlock a penalty option for old commitments. -==== Commitment revocation +Let's look at these three elements in turn. -==== The revoke_and_ack message +==== Asymmetric commitment transactions + +Alice and Bob hold slightly different commitment transactions. Let's look specifically at Commitment #2 from <>, in more detail: + +[[commitment_2]] +.Commitment Transaction #2 +image::images/commitment_2.png[Commitment Transaction #2] + +Alice and Bob hold two different variations of this transaction, as shown in <>: + +[[asymmetric_1]] +.Asymmetric commitment transactions +image::images/asymmetric_1.png[Asymmetric commitment transactions] + +By convention, within the Lightning protocol, we refer to the two channel partners as _self_ (also known as _local_) and _remote_, depending on which side we're looking at. The outputs that pay each channel partner are called _to_local_ and _to_remote_ respectively. + +In <> we see that Alice holds a transaction that pays 60,000 satoshis _to_self_ (can be spent by Alice's keys), and 80,000 satoshis _to_remote_ (can be spent by Bob's keys). + +Bob holds the mirror-image of that transaction, where the first output is 80,000 satoshis _to_self_ (can be spent by Bob's keys), and 60,000 satoshis _to_remote_ (can be spent by Alice's keys). + +==== Delayed (timelocked) spending to_self + +The purpose of holding asymmetric transactions is so that the _to_local_ output is always timelocked and can't be spent immediately, whereas the _to_remote_ output is not timelocked and can be spent immediately. + +In the commitment transaction held by Alice, for example, the _to_local_ output that pays her is timelocked for 432 blocks, whereas the _to_remote_ output that pays Bob can be spent immediately. Bob's commitment transaction for Commitment #2 is the mirror image: his own (_to_local_) output is timelocked and Alice's _to_remote_ output can be spent immediately. -=== Penalty mechanism +[[asymmetric_delayed_1]] +.Asymmetric and delayed commitment transactions +image::images/asymmetric_delayed_1.png[Asymmetric and delayed commitment transactions] -==== The penalty transaction +That means that if Alice closes the channel by broadcasting and confirming the commitment transaction she holds, she cannot spend her balance for 432 blocks, but Bob can claim his balance immediately. If Bob closes the channel using the commitment transaction he holds, he cannot spend his output for 432 blocks while Alice can immediately spend hers. + +The delay is there for one reason: to allow the *remote* party to exercise a penalty option if an old (revoked) commitment should be broadcast by the other channel partner. Let's look at the revocation keys and penalty option next. + +==== Revocation keys + +As we discussed previously, the word "revocation" is a bit misleading because it implies that the "revoked" transaction cannot be used. + +In fact, the "revoked" transaction can be used but if it is used, and it has been "revoked", then one of the channel partners can take all of the channel funds by creating a penalty transaction. + +The way this works is that the _to_local_ output is not only timelocked, but it has two spending conditions in the script: It can be spent by _self_ after the timelock delay *or* it can be spent by _remote_ immediately with a revocation key for this commitment. + +So, in our example, each side holds a commitment transaction that includes a revocation option in the _to_local_ output, as shown in <>: + +[[asymmetric_delayed_revocable_1]] +.Asymmetric, delayed and revocable commitments +image::images/asymmetric_delayed_revocable_1.png[Asymmetric, delayed and revocable commitments] + +[[commitment_transaction]] +=== The commitment transaction + +Now that we understand the structure of commitment transactions and why we need asymmetric, delayed, revocable commitments, let's look at the Bitcoin Script that implements this. + +The first (_to_local_) output of a commitment transaction is defined in https://github.com/lightningnetwork/lightning-rfc/blob/master/03-transactions.md#to_local-output[BOLT #3 Commitment Transaction - to_local Output], as follows: + +---- +OP_IF + # Penalty transaction + +OP_ELSE + + OP_CHECKSEQUENCEVERIFY + OP_DROP + +OP_ENDIF +OP_CHECKSIG +---- + +This is a conditional script (see <>), which means the output can be spent if _either_ of the two conditions is met. The first clause allows the output to be spend by anyone who can sign for ++. The second clause is timelocked by ++ blocks and can only be spent after that many blocks by anyone who can sign for ++. In our example, we had set the ++ timelock to 432 blocks, but this is a configurable delay that is negotiated by the two channel partners. The +to_self_delay+ timelock duration is usually scaled by the channel capacity, meaning that larger capacity channels (more funds), have longer +to_self_delay+ timelocks to protect the parties. + +The second output (to_remote) output of the commitment transaction, is defined in https://github.com/lightningnetwork/lightning-rfc/blob/master/03-transactions.md#to_remote-output[BOLT #3 Commitment Transaction - to_remote Output] and in the simplest form is a Pay-to-Witness-Public-Key-Hash (P2WPKH) for ++, meaning that it simply pays the owner who can sign for ++. + +Now that we've defined the commitment transactions in detail, let's see how Alice and Bob advance the state of the channel, create and sign new commitment transactions and revoke old commitment transactions. + +=== Advancing the channel state + +==== The commitment_signed message + +==== The revoke_and_ack message === Closing the channel From fa20549232f6a943f9b868632927d4bc430f7d7c Mon Sep 17 00:00:00 2001 From: "Andreas M. Antonopoulos" Date: Sat, 26 Jun 2021 10:49:30 -0400 Subject: [PATCH 12/20] commitment message flow, revocation and penalty --- images/cheating_commitment.png | Bin 0 -> 89740 bytes images/commitment_message_flow.png | Bin 0 -> 54449 bytes images/competing_commitments_2.png | Bin 0 -> 160596 bytes images/penalty_transaction.png | Bin 0 -> 164335 bytes payment_channels.asciidoc | 103 ++++++++++++++++++++++++++++- 5 files changed, 100 insertions(+), 3 deletions(-) create mode 100644 images/cheating_commitment.png create mode 100644 images/commitment_message_flow.png create mode 100644 images/competing_commitments_2.png create mode 100644 images/penalty_transaction.png diff --git a/images/cheating_commitment.png b/images/cheating_commitment.png new file mode 100644 index 0000000000000000000000000000000000000000..4b41b48c453a887e7d40d759cab7f089801d019a GIT binary patch literal 89740 zcmeFYc|4T;_dl+^JC*LcA}Laq>{%zqQmHhubYsX~VeB)uu??mTm5{LyL&}m7vW|U} 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