Method Of Analytic Tableaux
In proof theory, the semantic tableau (or truth tree) is a decision procedure for sentential and related logics, and a proof procedure for formulas of first-order logic. The tableau method can also determine the satisfiability of finite sets of formulas of various logics. It is the most popular proof procedure for modal logics (Girle 2000). The method of semantic tableaux was invented by the Dutch logician Evert Willem Beth (Beth 1955) and simplified by Raymond Smullyan (Smullyan 1968, 1995). It is Smullyan's simplification, "one-sided tableaux", that is described below.
An analytic tableau has for each node a subformula of the formula at the origin. In other words, it is a tableau satisfying the subformula property.
Read more about Method Of Analytic Tableaux: Introduction, Propositional Logic, First-order Logic Tableau, Tableau Calculi and Their Properties, Proof Procedures, Searching For A Closed Tableau, Clause Tableaux, Tableaux For Modal Logics
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