When Symmetry Yields NP-Hardness: Affine ML-SAT on S5 Frames

Fuente: arXiv
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Autori principali: Krebs, Andreas, Meier, Arne
Natura: Preprint
Pubblicazione: 2025
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author Krebs, Andreas
Meier, Arne
author_facet Krebs, Andreas
Meier, Arne
contents Hemaspaandra~et~al.~[JCSS 2010] conjectured that satisfiability for multi-modal logic restricted to the connectives XOR and 1, over frame classes T, S4, and S5, is solvable in polynomial time. We refute this for S5 frames, by proving NP-hardness.
format Preprint
id arxiv_https___arxiv_org_abs_2512_17378
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle When Symmetry Yields NP-Hardness: Affine ML-SAT on S5 Frames
Krebs, Andreas
Meier, Arne
Logic in Computer Science
Computational Complexity
Hemaspaandra~et~al.~[JCSS 2010] conjectured that satisfiability for multi-modal logic restricted to the connectives XOR and 1, over frame classes T, S4, and S5, is solvable in polynomial time. We refute this for S5 frames, by proving NP-hardness.
title When Symmetry Yields NP-Hardness: Affine ML-SAT on S5 Frames
topic Logic in Computer Science
Computational Complexity
url https://arxiv.org/abs/2512.17378