Temel Kavramlar
Inquisitive propositional and modal logic model checking problems are proven to be AP-complete.
Özet
The paper explores the complexity of model checking for inquisitive propositional and modal logics, proving them to be AP-complete. It introduces inquisitive logics, information models, and switching models. The study focuses on the semantics of inquisitive logic, introducing special formulas like C+, C-, Dk, Sk, S0, Sk, Sl. The translation from propositional to inquisitive formulas is detailed along with a reduction of TQBF problem to MC(InqB), establishing PSPACE-completeness.
İstatistikler
In this paper we give a reduction of the PSPACE-complete problem true quantified Boolean formulas TQBF to MC(InqB), thus settling that both MC(InqB) and MC(InqM) are PSPACE-complete.
The computational complexity of this problem is known for several logics (see, e.g., [4] for an overview of the classical results).
We present and study a polynomial-space reduction of the TQBF problem to the MC(InqB), thus showing that the problem is also PSPACE-hard.