Kripke Semantics

Kripke semantics (also known as relational semantics or frame semantics, and often confused with possible world semantics) is a formal semantics for non-classical logic systems created in the late 1950s and early 1960s by Saul Kripke. It was first made for modal logics, and later adapted to intuitionistic logic and other non-classical systems. The discovery of Kripke semantics was a breakthrough in the theory of non-classical logics, because the model theory of such logics was nonexistent before Kripke.

Read more about Kripke SemanticsSemantics of Modal Logic, Semantics of Intuitionistic Logic, Model Constructions, General Frame Semantics, Computer Science Applications, History and Terminology

Other articles related to "kripke, semantics, kripke semantics":

Index Of Philosophy Articles (R–Z) - S
... Kripke Saul Aaron Kripke Saul Kripke Saul Yanovsky Sautrāntika Saving the Appearances A Study in Idolatry Savior sibling Sayyid al-Qimni Sayyid Qutb Scalar implicature Scandal ... Sisyphus (dialogue) Sittlichkeit Situated ethics Situation ethics Situation semantics Situation theory Situational ethics Situationist International Situationist Times ...
S5 (modal Logic) - Kripke Semantics
... In terms of Kripke semantics, S5 is characterized by models where the accessibility relation is an equivalence relation it is reflexive, transitive, and symmetric ... Membership is proved by showing that any satisfiable formula has a Kripke model where the number of worlds is at most linear in the size of the formula ...
Intuitionistic Logic - Semantics - Kripke Semantics
... Building upon his work on semantics of modal logic, Saul Kripke created another semantics for intuitionistic logic, known as Kripke semantics or relational semantics ...
Kripke Semantics - History and Terminology
... Kripke semantics does not originate with Kripke, but instead the idea of giving semantics in the style given above, that is based on valuations made that are relative to nodes, predates Kripke by a long ... would have been precisely frame models, which is to say Kripke models, years before Kripke ... latter, would have produced a model theory equivalent to Kripke models for the former ...

Famous quotes containing the word kripke:

    Let’s call something a rigid designator if in every possible world it designates the same object, a non-rigid or accidental designator if that is not the case. Of course we don’t require that the objects exist in all possible worlds.... When we think of a property as essential to an object we usually mean that it is true of that object in any case where it would have existed. A rigid designator of a necessary existent can be called strongly rigid.
    —Saul Kripke (b. 1940)