Alternative Approaches to Computability
In the previous chapters we have developed a theory of computability based on while-programs. The legitimacy of this programming language approach has rested on the belief, embodied in Church’s Thesis, that the class of computable functions is model invariant: The while-program computable functions include the function classes that are definable by any other system, so long as that system matches our informal notion of algorithmic specification.
KeywordsTuring Machine Recursive Function Computable Function Loop Function Start Symbol
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