Multi-succedent sequent calculus for intuitionistic epistemic logic

A multi-succedent sequent calculus for intuitionistic epistemic logic (IEL) is introduced in the paper. It is proved that the structural rules of weakening and contraction and the rule of cut are admissible in the calculus. It is also proved that any sequent with at most one formula in succedent is derivable in the calculus, iff it is derivable in the standard non-multi-succedent sequent calculus of IEL.

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Publication Details

Journal
Lietuvos matematikos rinkinys
Published
2024-12-10
DOI
https://doi.org/10.15388/lmd.2024.37367
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
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article

Multi-succedent sequent calculus for intuitionistic epistemic logic

Romas Alonderis
Lietuvos matematikos rinkinys
Logic, Reasoning, and Knowledge
article

Multi-succedent sequent calculus for intuitionistic epistemic logic

Romas Alonderis
article en

Abstract

A multi-succedent sequent calculus for intuitionistic epistemic logic (IEL) is introduced in the paper. It is proved that the structural rules of weakening and contraction and the rule of cut are admissible in the calculus. It is also proved that any sequent with at most one formula in succedent is derivable in the calculus, iff it is derivable in the standard non-multi-succedent sequent calculus of IEL.

Lietuvos matematikos rinkinysVol. 65
Vilnius University (LT)
Openalex Percentile: Top 79%
Logic, Reasoning, and Knowledge
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Multi-succedent sequent calculus for intuitionistic epistemic logic — Romas Alonderis · Lietuvos matematikos rinkinys (2024) | TGRS Research Map | TGRS