Tag: computability theory

S-M-N Theorem

A cornerstone of computable function theory, the S-M-N theorem offers a way…

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Reverse Mathematics

Reverse mathematics investigates the logical strength of mathematical theorems. It aims to…

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Register Computable

A computation is register computable if it can be performed by a…

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Recursive Function Theory

Recursive function theory explores the properties of recursive functions, focusing on their…

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Recursion Theorem

The recursion theorem, fundamental in computability theory, allows a function to call…

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Primitive Recursive Relations

A primitive recursive relation is a type of relation definable using primitive…

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Primitive Recursive Functions Explained

Primitive recursive functions are a subset of computable functions defined using initial…

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Primitive Recursion Explained

Primitive recursion defines functions by calling themselves with simpler inputs. It requires…

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Post Consistency in Formal Theories

A theory is Post consistent if it contains at least one unprovable…

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Markov’s Principle

Markov's Principle, a cornerstone of constructive mathematics, asserts that if a property…

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