Editing Kripke semantics (section)

{{Short description|Formal semantics for non-classical logic systems}}
{{more footnotes needed|date=April 2013}}
'''Kripke semantics''' (also known as '''relational semantics''' or '''frame semantics''', and often confused with [[Possible world|possible world semantics]])<ref>Possible world semantics is a broader term encompassing various approaches, including Kripke semantics. It generally refers to the idea of analyzing modal statements by considering alternative possible worlds where different propositions are true or false. While Kripke semantics is a specific type of possible world semantics, there are other ways to model possible worlds and their relationships. Kripke semantics is a specific form of possible world semantics that employs relational structures to represent the relationships between possible worlds and propositions in modal logic.{{Citation needed|date=January 2024}}</ref> is a formal [[semantics]] for [[non-classical logic]] systems created in the late 1950s and early 1960s by [[Saul Kripke]] and [[André Joyal]]. It was first conceived for [[modal logic]]s, and later adapted to [[intuitionistic logic]] and other non-classical systems. The development of Kripke semantics was a breakthrough in the theory of non-classical logics, because the [[model theory]] of such logics was almost non-existent before Kripke (algebraic semantics existed, but were considered 'syntax in disguise').