INQUISITIVE BISIMULATION

Ciardelli, Ivano und Otto, Martin (2021): INQUISITIVE BISIMULATION. In: Journal of Symbolic Logic, Bd. 86, Nr. 1, PII S0022481220000778: S. 77-109

Abstract

Inquisitive modal logic, InqML, is a generalisation of standard Kripke-style modal logic. In its epistemic incarnation, it extends standard epistemic logic to capture not just the information that agents have, but also the questions that they are interested in. Technically, InqML fits within the family of logics based on team semantics. From a model-theoretic perspective, it takes us a step in the direction of monadic second-order logic, as inquisitive modal operators involve quantification over sets of worlds. We introduce and investigate the natural notion of bisimulation equivalence in the setting of InqML. We compare the expressiveness of InqML and first-order logic in the context of relational structures with two sorts, one for worlds and one for information states, and characterise inquisitive modal logic as the bisimulation invariant fragment of first-order logic over various natural classes of two-sorted structures.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Philosophie, Wissenschaftstheorie und Religionswissenschaft
• Themengebiete: 100 Philosophie und Psychologie > 100 Philosophie
• ISSN: 0022-4812
• Sprache: Englisch