Multi-succedent sequent calculus for intuitionistic epistemic logic
Articles
Romas Alonderis
Vilnius University image/svg+xml
https://orcid.org/0000-0002-7792-5285
Published 2024-12-10
https://doi.org/10.15388/LMD.2024.37367
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Keywords

intuitionistic epistemic logic
sequent calculus

How to Cite

Alonderis, R. (2024) “Multi-succedent sequent calculus for intuitionistic epistemic logic”, Lietuvos matematikos rinkinys, 65(A), pp. 9–17. doi:10.15388/LMD.2024.37367.

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.

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