2–5 Jul 2024
Osijek
Europe/Zagreb timezone

Finite model property of inquisitive modal logic via selection

2 Jul 2024, 17:30
20m
D3 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

D3

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 6, Osijek
Talk ML: Logic, Computation and Mathematical Aspects of Computer Science Logic, Computation and Mathematical Aspects of Computer Science

Speaker

Stipe Marić

Description

Inquisitive logic is a generalization of classical logic that can express questions. The language of inquisitive logic is obtained by extending the language of classical propositional logic with a new connective, the inquisitive disjunction. Similarly, inquisitive modal logic, InqML, is a generalization of standard modal logic with $\boxplus$ as the basic modal operator. In this talk, we will introduce the selection method for inquisitive modal logic. For a given satisfiable formula $\varphi$, we will show that $\varphi$ is also satisfiable in a finite tree-like model. From this we conclude that InqML has the finite model property, i.e., every satisfiable formula is satisfiable in a finite model.

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