Satisfiability problems | Boolean algebra | PSPACE-complete problems

True quantified Boolean formula

In computational complexity theory, the language TQBF is a formal language consisting of the true quantified Boolean formulas. A (fully) quantified Boolean formula is a formula in quantified propositional logic where every variable is quantified (or bound), using either existential or universal quantifiers, at the beginning of the sentence. Such a formula is equivalent to either true or false (since there are no free variables). If such a formula evaluates to true, then that formula is in the language TQBF. It is also known as QSAT (Quantified SAT). (Wikipedia).

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Related pages

Conjunctive normal form | Truth value | Formal equivalence checking | IP (complexity) | Probabilistic Turing machine | Free variables and bound variables | Nondeterministic finite automaton | Big O notation | Implication graph | PSPACE | Abstract syntax tree | Game theory | Formal language | PH (complexity) | MA (complexity) | Two-player game | Generalized geography | Alternating Turing machine | Polynomial hierarchy | Boolean satisfiability problem | Prenex normal form | Turing machine | PSPACE-complete | Cook–Levin theorem | PSPACE-hard | DPLL algorithm | Existential quantification | Model checking | Strongly connected component | Interactive proof system | Planar SAT | Linear temporal logic | 2-satisfiability | Computational complexity theory | Universal quantification | Skolem normal form | Formula game | NP-completeness | Complexity class