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Myhill isomorphism theorem information


In computability theory the Myhill isomorphism theorem, named after John Myhill, provides a characterization for two numberings to induce the same notion of computability on a set. It is reminiscent of the Schröder-Bernstein theorem in set theory.

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Myhill isomorphism theorem

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In computability theory the Myhill isomorphism theorem, named after John Myhill, provides a characterization for two numberings to induce the same notion...

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Myhill

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in: Myhill congruence Myhill's constructive set theory Myhill graph Myhill isomorphism theorem Myhill–Nerode theorem Myhill's property Rice-Myhill-Shapiro...

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John Myhill

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with property P. The Myhill isomorphism theorem is a computability-theoretic analogue of the Cantor–Bernstein–Schroeder theorem that characterizes the...

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Computable isomorphism

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By the Myhill isomorphism theorem, the relation of computable isomorphism coincides with the relation of mutual one-one reducibility. Theorem 7.VI, Hartley...

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List of theorems

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Myers theorem (differential geometry) Myhill–Nerode theorem (formal languages) Nachbin's theorem(complex analysis) Nagata's compactification theorem (algebraic...

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Computational complexity theory

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"Graph isomorphism is in SPP", Information and Computation, 204 (5): 835–852, doi:10.1016/j.ic.2006.02.002. Schöning, Uwe (1988), "Graph Isomorphism is in...

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Computability theory

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Mathematics. Series 2. 59 (3): 379–407. doi:10.2307/1969708. JSTOR 1969708. Myhill, John R. Sr. (1956). "The lattice of recursively enumerable sets". The Journal...

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Creative and productive sets

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productive function that is injective and total. The following theorems, due to Myhill (1955), show that in a sense all creative sets are like K {\displaystyle...

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Constructive set theory

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Lectures on the Curry-Howard Isomorphism, CiteSeerX 10.1.1.17.7385, p. 239 Smith, Peter (2007). An introduction to Gödel's Theorems (PDF). Cambridge, U.K.:...

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Paradoxes of set theory

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Definability paradoxes by Timothy Gowers "Russell's Paradox". Internet Encyclopedia of Philosophy. "Russell-Myhill Paradox". Internet Encyclopedia of Philosophy....

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Suffix automaton

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language L {\displaystyle L} . Myhill–Nerode theorem allows it to define it explicitly in terms of right contexts: Theorem — Minimal automaton recognizing...

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