Church turing thesis debate

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An interesting question is whether the computation model represented by concrete programming languages is Turing equivalent. While the computation of a real computer is based on finite states and thus not capable to simulate a Turing machine, programming languages themselves do not necessarily have this limitation. Kirner et al., 2009 have shown that among the general-purpose programming languages some are Turing complete while others are not. For example, ANSI C is not Turing-equivalent, as all instantiations of ANSI C (different instantiations are possible as the standard deliberately leaves certain behaviour undefined for legacy reasons) imply a finite-space memory. This is because the size of memory reference data types is accessible inside the language. However, other programming languages like Pascal do not have this feature, which allows them to be Turing complete in principle. It is just Turing complete in principle, as memory allocation in a programming language is allowed to fail, which means the programming language can be Turing complete when ignoring failed memory allocations, but the compiled programs executable on a real computer cannot.

In 1950, Turing wrote the first ever chess computer program as part of his work on artificial intelligence. Calling it "Turbochamp", he tried to implement it on Manchester University's Ferranti Mark I without success. Instead, in the summer of 1952, he "played" as the program against his friend and colleague Alick Glennie. Turing would work through each move according to his program on paper, taking around half an hour each time. While it showed that Turbochamp was capable of playing a human at chess, it lost against Glennie in 29 moves. You can watch the game here . It was 1957 before a fully-operational chess program was up and running, created by Alex Bernstein at IBM on an IBM 704.

Church turing thesis debate

church turing thesis debate

In 1950, Turing wrote the first ever chess computer program as part of his work on artificial intelligence. Calling it "Turbochamp", he tried to implement it on Manchester University's Ferranti Mark I without success. Instead, in the summer of 1952, he "played" as the program against his friend and colleague Alick Glennie. Turing would work through each move according to his program on paper, taking around half an hour each time. While it showed that Turbochamp was capable of playing a human at chess, it lost against Glennie in 29 moves. You can watch the game here . It was 1957 before a fully-operational chess program was up and running, created by Alex Bernstein at IBM on an IBM 704.

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