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arXiv · 2605.19819

Satisfiability for Knowing How over Linear Plans is NP-complete

Carlos Areces·Pablo Barceló·Valentin Cassano·Pablo F. Castro·Stéphane Demri·Raul Fervari
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Abstract

We study the satisfiability problem for a modal logic expressing knowing-how assertions, which captures an agent's ability to achieve a given goal under the standard semantics based on linear plans. Our main result shows that satisfiability of knowing-how formulas is NP-complete, improving previously known complexity bounds. The proof proceeds via a translation into modal logic S5, an instrumental tool for addressing a variety of problems in knowledge representation.

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Carlos Areces, Pablo Barceló, Valentin Cassano, Pablo F. Castro, Stéphane Demri, Raul Fervari. 2026-05-19. Satisfiability for Knowing How over Linear Plans is NP-complete. https://arxiv.org/abs/2605.19819

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