Editing Game semantics (section)

{{Semantics}}

'''Game semantics''' is an approach to [[Formal semantics (logic)|formal semantics]] that grounds the concepts of [[truth]] or [[Validity (logic)|validity]] on [[Game theory|game-theoretic]] concepts, such as the existence of a [[winning strategy]] for a player. In this framework, logical formulas are interpreted as defining games between two players. The term encompasses several related but distinct traditions, including [[dialogical logic]] (developed by [[Paul Lorenzen]] and [[Kuno Lorenz]] in Germany starting in the 1950s) and game-theoretical semantics (developed by [[Jaakko Hintikka]] in Finland).

Game semantics represents a significant departure from traditional [[Model theory|model-theoretic]] approaches by emphasizing the dynamic, interactive nature of logical reasoning rather than static truth assignments. It provides intuitive interpretations for various logical systems, including [[classical logic]], [[intuitionistic logic]], [[linear logic]], and [[modal logic]]. The approach bears conceptual resemblances to ancient [[Socratic dialogues]], medieval [[theory of Obligationes]], and [[constructive mathematics]]. Since the 1990s, game semantics has found important applications in [[theoretical computer science]], particularly in the semantics of [[Programming language|programming languages]], [[concurrency theory]], and the study of [[computational complexity]].