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by shilch 1734 days ago
The loop unrolling is an implementation detail. As I have written somewhere else: You could as well have put a large if-else there to do the transition table lookup.

In the GoL example, one generation update is performed in every transaction. Since the board size is known in advance, it totally makes sense to unroll the loop. If you want to do boards larger than that, like the 1000x1000 you mention, you run into script limits. What you can then do instead is, for example, to update the first half of the board in one transaction and then the second half in another transaction, i.e. two transactions are one generation.

Bitcoin is turing complete as shown in this article.

1 comments

Sorry, but the (max) board size is not known in advance. Board grows as the Turing machine simulator is running.

> What you can then do instead is, for example, to update the first half of the board in one transaction and then the second half in another transaction, i.e. two transactions are one generation

Yes, we just need to add the external "driver" that partitions the board, determines the bounds of board parts, constructs transactions that do all the necessary work of updating the board, checks whether the computation is finished - in other words, does the hard work of partitioning the computation in the chunks of fixed predetermined size, which is only necessary because bitcoin script is not turing-complete.

> because bitcoin script is not turing-complete

This is not what the article claims to show. It shows that the system bitcoin is turing complete.

Added to this, having an "external driver" and the system being turing-complete are not mutually exclusive.

> having an "external driver" and the system being turing-complete are not mutually exclusive.

In many cases, they are. For instance, if you tack on an already-Turing-complete component to the existing "system", then it's disingenuous to call the existing system Turing complete.

Further, this "covenant"-style system isn't really what Turing had in mind when he spoke of an "automatic machine".

Further further, this has nothing to do with Craig Wright, who famously called Script itself Turing complete in a plagiarized paper, and said that the "alt stack" is critical for it to be Turing complete.

Nonsense.

What is "bitcoin system"?
I might write an article that explains it (if I find the time to do so). The thread form of back and forth is fruitless since it appears that we don't have a common understanding of what makes bitcoin turing complete. Let me know how I can reach you back if I have written such article (and you're interested).
If you have written such an article and it is sound, I would imagine that I would hear it all during your Alan Turing award lecture :)

But you can just post it in the comment here, I will see it