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minor improvements, corrections (#180)

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- comma must follow "additionally" and "however" as they are introductory words or phrases
- same for "last but not least", comma missing
- "nothing else than", not perfect English; better "nothing but" 
- "get most use", not perfect English; better "get more benefits"
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@ -36,24 +36,24 @@ However, without the help of anybody else you can transfer the funds to an addre
On the Lightning Network ownership of your funds is almost always encoded with you having a pre-signed transaction spending from a 2-out-of-2 multisignature address. On the Lightning Network ownership of your funds is almost always encoded with you having a pre-signed transaction spending from a 2-out-of-2 multisignature address.
==== ====
Additionally these contracts have the option to connect channels in a way that one can forward payments from one channel to another. Additionally, these contracts have the option to connect channels in a way that one can forward payments from one channel to another.
For example, Alice can send money to Bob if Alice had a channel with Mallory and Mallory had a channel with Bob. For example, Alice can send money to Bob if Alice had a channel with Mallory and Mallory had a channel with Bob.
By the design of the Lightning Network, it is possible to extend the smart contracts which operate the channel so that Mallory has no way of stealing the funds that are being routed through her. By the design of the Lightning Network, it is possible to extend the smart contracts which operate the channel so that Mallory has no way of stealing the funds that are being routed through her.
Not only does the construction of the payment channel work for the partners without the necessity to trust each other but the entire network works without the necessity to trust any other participant. Not only does the construction of the payment channel work for the partners without the necessity to trust each other but the entire network works without the necessity to trust any other participant.
Since the channels are funds on multisignature addresses and as the contracts are unpublished but presigned Bitcoin transactions, all the trust that is needed to operate the Lightning Network comes from the trust in the decentralized Bitcoin network! Since the channels are funds on multisignature addresses and as the contracts are unpublished but presigned Bitcoin transactions, all the trust that is needed to operate the Lightning Network comes from the trust in the decentralized Bitcoin network!
The aforementioned innovations are certainly the major breakthrough that allow the creation of the Lightning Network. The aforementioned innovations are certainly the major breakthrough that allow the creation of the Lightning Network.
However the Lightning Network is so much more than the cryptographic protocols on top of the Bitcoin scripting language. However, the Lightning Network is so much more than the cryptographic protocols on top of the Bitcoin scripting language.
It is a full communication protocol that allows peers to communicate with each other via Lightning messages to achieve the transfer of bitcoin. It is a full communication protocol that allows peers to communicate with each other via Lightning messages to achieve the transfer of bitcoin.
The communication protocol also defines how Lightning messages are being encrypted and exchanged. The communication protocol also defines how Lightning messages are being encrypted and exchanged.
A gossip protocol is part of the specification that is used to share public information about the topology of the network with the other participants. A gossip protocol is part of the specification that is used to share public information about the topology of the network with the other participants.
This information is needed for Alice to be aware of the fact that Mallory has a channel with Bob so that she can decide to send a payment via Mallory to Bob. This information is needed for Alice to be aware of the fact that Mallory has a channel with Bob so that she can decide to send a payment indirectly via Mallory to Bob.
Last but not least it is important to understand that the Lightning Network is nothing else than Bitcoin. Last but not least, it is important to understand that the Lightning Network is nothing but Bitcoin.
We emphasize this as you might find people who will try to spread misinformation and create an artificial barrier between the "real" Bitcoin and the Lightning Network or even use terms like the Lightning Network coin. We emphasize this as you might find people who will try to spread misinformation and create a false barrier between the "real" Bitcoin and the Lightning Network or even use terms like the Lightning Network coin. At any point in time, any value held in the Lightning Network is exclusively held as bitcoin and exclusively secured by the Bitcoin network.
We hope that as soon as you have studied the remainder of this book you do not need to believe what we just mentioned. We hope that as soon as you have studied the remainder of this book you do not need to believe what we just mentioned.
We rather hope that this book enables you to critically do your own research so that you are able to understand and verify the following (instead of trusting us): We rather hope that this book enables you to critically do your own research to understand and verify the following (instead of trusting us):
Besides all the technical primitives, the Lightning Network protocol is a creative way to get most use out of Bitcoin by allowing an arbitrary amount of instant payments with instant settlements without the necessity to trust anyone else but the Bitcoin network. Besides all the technical primitives, the Lightning Network protocol is a creative way to get more benefits out of Bitcoin by allowing an arbitrary amount of instant payments with instant settlements without the necessity to trust anyone else but the Bitcoin network.
=== Payment channels === Payment channels