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On modal logics of partial recursive functions

On modal logics of partial recursive functions
On modal logics of partial recursive functions

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.

Curry-Howard isomorphism, Modal logic, Recursive function
0039-3215
295-309
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0

Naumov, Pavel (2005) On modal logics of partial recursive functions. Studia Logica, 81 (3), 295-309. (doi:10.1007/s11225-005-4646-8).

Record type: Article

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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More information

Published date: December 2005
Keywords: Curry-Howard isomorphism, Modal logic, Recursive function
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Identifiers

Local EPrints ID: 480222
URI: http://eprints.soton.ac.uk/id/eprint/480222
DOI: doi:10.1007/s11225-005-4646-8
ISSN: 0039-3215
PURE UUID: 7c2374ae-b46e-44a9-99a3-47f2860d2218
ORCID for Pavel Naumov: ORCID iD orcid.org/0000-0003-1687-045X

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Date deposited: 01 Aug 2023 17:08
Last modified: 17 Mar 2024 04:10

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Author: Pavel Naumov ORCID iD

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