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A sequent calculus for bilattice-based logic and its many-sorted representation

A sequent calculus for bilattice-based logic and its many-sorted representation
A sequent calculus for bilattice-based logic and its many-sorted representation

We introduce a sequent calculus for bilattice-based annotated logic (BAL). We show that this logic can be syntactically and semantically translated into a fragment MSL* of conventional many-sorted logic MSL. We show deductive equivalence of sequent calculus for BAL and sequent calculus for MSL*.

0302-9743
165-182
Springer
Komendantskaya, Ekaterina
f12d9c23-5589-40b8-bcf9-a04fe9dedf61
Komendantskaya, Ekaterina
f12d9c23-5589-40b8-bcf9-a04fe9dedf61

Komendantskaya, Ekaterina (2007) A sequent calculus for bilattice-based logic and its many-sorted representation. In Automated Reasoning with Analytic Tableaux and Related Methods - 16th International Conference, TABLEAUX 2007, Proceedings. vol. 4548 LNAI, Springer. pp. 165-182 . (doi:10.1007/978-3-540-73099-6_14).

Record type: Conference or Workshop Item (Paper)

Abstract

We introduce a sequent calculus for bilattice-based annotated logic (BAL). We show that this logic can be syntactically and semantically translated into a fragment MSL* of conventional many-sorted logic MSL. We show deductive equivalence of sequent calculus for BAL and sequent calculus for MSL*.

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Published date: 2007
Venue - Dates: 16th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2007, , Aix en Provence, France, 2007-07-03 - 2007-07-06

Identifiers

Local EPrints ID: 500420
URI: http://eprints.soton.ac.uk/id/eprint/500420
ISSN: 0302-9743
PURE UUID: bfa7b9ad-c97f-44c7-a37b-e70b8775edab
ORCID for Ekaterina Komendantskaya: ORCID iD orcid.org/0000-0002-3240-0987

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Date deposited: 29 Apr 2025 16:42
Last modified: 23 May 2025 02:08

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Author: Ekaterina Komendantskaya ORCID iD

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