A logic focusing on meaning beyond mere truth values, exploring concepts like belief, necessity, and possibility. It distinguishes between logically…
A hypothetical construct in modal logic, the impossible world represents a state of affairs that cannot possibly exist. It's a…
Imperative logic is a formal system for analyzing commands and imperatives, differing from traditional logic focused on declarative statements. It…
Hybrid logic enhances modal logic by allowing direct reference to specific worlds within models. This increases expressiveness, enabling more precise…
A frame in modal logic defines a set of possible worlds and the accessibility relation between them. It serves as…
A specialized field of modal logic focusing on formalizing reasoning about knowledge and belief. It uses modal operators to represent…
Dynamic modal logic explores necessary and possible connections between events. It extends traditional modal logic to analyze how states change…
Doxastic modal logic explores the reasoning behind beliefs. It models how rational agents form and update their beliefs, providing a…
The distribution axiom, often referred to as axiom K, is fundamental in modal logic. It asserts that if a proposition…
Deontic modal logic is a specialized field within modal logic that rigorously examines concepts of obligation, permission, and prohibition. It…