Bitcoin SV as Turing Complete System

Written by:
Aaron Goldstein
Published on:

There is a controversy that's been emerging in the cryptocurrency community that claims Bitcoin cannot be used as a turing complete system.  In computability theory, a system of data-manipulation rules is said to be Turing-complete or computationally universal if it can be used to simulate any Turing machine, meaning the ability to recognize or decide other data-manipulation rule sets.


“Unfortunately, a major problem stems from a lack of understanding of many common terms today. Turing completeness does not require an infinite tape, and it was not an infinite tape that Turing mentioned in his paper; it was an unbounded system. Importantly, you cannot have a Turing machine with an infinite tape rather than an unbounded tape—by definition. An infinite tape is not related to a problem that can be computed,” Bitcoin co-founder Dr. Wright said. 

He asserts that Bitcoin is demonstrably a Turing complete system, hitting back against criticisms from the BTC Core community.

“Bitcoin is a Turing-complete system even in script. A Turing machine assumes that you have an unbounded tape. In our instance, it would mean an unbounded script size. Given an arbitrarily long script, you can run any possible computable algorithm. The fact that the size of the script becomes unwieldy is irrelevant. Not all Turing machines are efficient. In fact, there is nothing in the foundations of Turing machines that requires efficiency. Whilst it is possible to run many programs that will take a seemingly considerable time to complete, the process of optimising them through parallel paths or through approximation may be sufficient,” according to Dr. Wright.

“The main reason Bitcoin Core attacks the comment that I have made, of Bitcoin being Turing-complete, is related to the introduction of limits that were originally temporarily imposed upon Bitcoin and that have been implemented in more insidious manners within BTC. Whereas I said that Bitcoin would grow to the point where it would end in data centres, they wished to create a separate system, one that was more limited. A limited tape is not one that can run any algorithm. In other words, with a limited transaction size, you can never achieve the same level of computation as you can with an unlimited transaction size.

“As Rogers (1959) demonstrated, degrees of computational unsolvability exist, but it does little to remove the fact that we don’t know, in many cases, whether a program is solvable or not until it is run. Worse still, as Gaboury (1942) and later Rogers (1958) demonstrated, there is no solution addressing whether we can even find a solution to many problems.”

- Aaron Goldstein, Gambling911.com

Business/Financial News

Bitcoin Notches Record High, Day After U.S. ETF Debut

Bitcoin Notches Record High, Day After U.S. ETF Debut

Bitcoin climbed to a record high on Wednesday, and the first U.S. bitcoin futures-based exchange-traded fund (ETF) built on gains after a solid debut on Tuesday.

Bitcoin Bull Mark Yusko Sees Trouble at $60,000

Bitcoin Bull Mark Yusko Sees Trouble at $60,000

Speaking to CNBC this week, hedge fund manager Mark Yusko believes investors will take profits due to the cryptocurrency’s sharp rally over the last few weeks.

U.S. Becomes Largest Bitcoin Mining Centre After China Crackdown

U.S. Becomes Largest Bitcoin Mining Centre After China Crackdown

The United States has overtaken China to account for the largest share of the world's bitcoin mining, data published on Wednesday by Britain's Cambridge Centre for Alternative Finance showed.

Fake New: How an Elaborate Hoax in the Crypto Space Led to Death Threats

Fake News: How an Elaborate Hoax in the Crypto Space Led to Death Threats

We can probably speak on behalf of CoinGeek when we say, near and dear to our hearts was today's panel on Media Influence: How News Reporting Affects the Digital Asset Market.  Like Gambling911.com, CoinGeek we know strives to report fair and balanced news.  But not every story out there in the digital assets space proves to be factual. 

CoinGeek NYC Live or Virtugal: One Week to Go

CoinGeek NYC Live or Virtual: One Week to Go

There’s only a week left until the CoinGeek Conference in New York City. And as a proud association partner, Bitcoin Association is inviting you to watch the final round of the 4th BSV Hackathon during the conference!