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
Famous quotes containing the words method of, method and/or analytic:
“I do not know a method of drawing up an indictment against a whole people.”
—Edmund Burke (1729–1797)
“Unlike Descartes, we own and use our beliefs of the moment, even in the midst of philosophizing, until by what is vaguely called scientific method we change them here and there for the better. Within our own total evolving doctrine, we can judge truth as earnestly and absolutely as can be, subject to correction, but that goes without saying.”
—Willard Van Orman Quine (b. 1908)
““You, that have not lived in thought but deed,
Can have the purity of a natural force,
But I, whose virtues are the definitions
Of the analytic mind, can neither close
The eye of the mind nor keep my tongue from speech.””
—William Butler Yeats (1865–1939)