Complexity of the variable-free fragment of the weak Grzegorczyk logic
Irina Agadzhanian, Mikhail Rybakov

TL;DR
This paper establishes that the variable-free fragments of all logics between K and wGrz are PSPACE-hard, highlighting their computational complexity.
Contribution
It proves PSPACE-hardness for variable-free fragments of a range of modal logics, extending known complexity results.
Findings
Variable-free fragments are PSPACE-hard
Results apply to all logics between K and wGrz
Highlights complexity challenges in modal logic fragments
Abstract
The paper proves PSPACE-hardness of variable-free fragments of all logics between K and wGrz.
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Taxonomy
TopicsAdvanced Algebra and Logic · semigroups and automata theory · Logic, Reasoning, and Knowledge
