About: Method of analytic tableaux

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In proof theory, the semantic tableau (/tæˈbloʊ, ˈtæbloʊ/; plural: tableaux, also called truth tree) is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. An analytic tableau is a tree structure computed for a logical formula, having at each node a subformula of the original formula to be proved or refuted. Computation constructs this tree and uses it to prove or refute the whole formula. 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).

Attributes	Values
rdf:type	anatomical structure
rdfs:label	Method of analytic tableaux (en)
rdfs:comment	In proof theory, the semantic tableau (/tæˈbloʊ, ˈtæbloʊ/; plural: tableaux, also called truth tree) is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. An analytic tableau is a tree structure computed for a logical formula, having at each node a subformula of the original formula to be proved or refuted. Computation constructs this tree and uses it to prove or refute the whole formula. 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). (en)
sameAs	Method of analytic tableaux Method of analytic tableaux
dbp:wikiPageUsesTemplate	dbt:IPAc-en dbt:Reflist
Subject	Automated theorem proving Logical calculi Methods of proof
gold:hypernym	Procedure
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Method_of_analytic_tableaux?oldid=1017796822&ns=0
Wikipage page ID	1027229 (xsd:integer)
page length (characters) of wiki page	70336 (xsd:nonNegativeInteger)
Wikipage revision ID	1017796822 (xsd:integer)
Link from a Wikipage to another Wikipage	Formula Ground expression Logical connective Logical consequence Logical equivalence Logical truth Proof theory Propositional calculus Skolem normal form Atomic formula Semantics Sequent calculus Tautology (logic) Proof procedure Automated theorem proving Logical calculi Quantifier (logic) Set (mathematics) Classical logic Clause (logic) Cut-elimination theorem De Morgan's laws Decision problem List (abstract data type) Truth value Contradiction Walter Carnielli Methods of proof First-order logic S5 (modal logic) Handbook of Automated Reasoning Modal logic Satisfiability Tree (data structure) Evert Willem Beth Structural proof theory Iterative deepening depth-first search Lewis Carroll Material conditional Multiset Negation normal form Raymond Smullyan Resolution (logic) Richard Jeffrey dbr:K_(modal_logic) dbr:T_(modal_logic)
has abstract	In proof theory, the semantic tableau (/tæˈbloʊ, ˈtæbloʊ/; plural: tableaux, also called truth tree) is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. An analytic tableau is a tree structure computed for a logical formula, having at each node a subformula of the original formula to be proved or refuted. Computation constructs this tree and uses it to prove or refute the whole formula. 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). (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Method_of_analytic_tableaux
is notableIdea of	Richard Jeffrey
is Wikipage redirect of	Truth tree Tableau calculus Tableau method Tableau proof Analytic tableau Analytic tableau method Analytic tableaux Semantic tableau Semantic tableaus Semantic tableaux Method of analytic tableau Truth-tree Proof tableau Proof tableaux Proof tree
is Link from a Wikipage to another Wikipage of	Logic: The Laws of Truth Abductive reasoning Analytic Argument map Automated theorem proving Model elimination Bunched logic Dialogical logic Analytic proof First-order logic Ian Horrocks Index of philosophy articles (R–Z)

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