On Modal Logics of Partial Recursive Functions

Pavel Naumov

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On Modal Logics of Partial Recursive Functions

Pavel Naumov

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Abstract

The classical propositional logic is known to be sound and complete with respect to the set semantics that interprets connectives as set operations. The paper extends propositional language by a new binary modality that corresponds to partial recursive function type constructor under the above interpretation. The cases of deterministic and non-deterministic functions are considered and for both of them semantically complete modal logics are described and decidability of these logics is established.

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Pavel Naumov. 2004-07-12. On Modal Logics of Partial Recursive Functions. https://arxiv.org/abs/cs/0407031

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