Intuitionistic modal logic LIK4 is decidable
Philippe Balbiani, \c{C}igdem Gencer, Tinko Tinchev
TL;DR
This paper proves that the intuitionistic modal logic LIK4, which combines intuitionistic logic with modal operators, is a decidable logical system, enabling effective computational reasoning within this framework.
Contribution
The paper establishes the decidability of LIK4, a previously unconfirmed property, providing a foundation for further computational applications and theoretical analysis.
Findings
LIK4 is proven to be decidable
Decidability enables algorithmic reasoning in LIK4
Supports further research in intuitionistic modal logic
Abstract
In this note, we prove that intuitionistic modal logic LIK4 is decidable.
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Taxonomy
TopicsLogic, Reasoning, and Knowledge · Advanced Algebra and Logic · Logic, programming, and type systems