language consisting of the true quantified Boolean formulas. A (fully) quantified Boolean formula is a formula in quantified propositional logic (also...

given Boolean formula. In other words, it asks whether the variables of a given Boolean formula can be consistently replaced by the values TRUE or FALSE...

In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {-1...

intersection and union of sets. A quantified propositional function is a statement; thus, like statements, quantified functions can be negated. The ¬  ...

impredicative quantification, System F. Parigot (1997) showed how this calculus can be extended to admit classical logic. True quantified Boolean formula Second-order...

first-order logic. In those contexts, a formula is a string of symbols φ for which it makes sense to ask "is φ true?", once any free variables in φ have...

Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and...

A formula game is an artificial game represented by a fully quantified Boolean formula such as ∃ x 1 ∀ x 2 ∃ x 3 … ψ {\displaystyle \exists x_{1}\forall...

satisfies that property. A formula where a quantifier takes widest scope is called a quantified formula. A quantified formula must contain a bound variable...

universal quantifier into an existential quantifier and negating the quantified formula. That is, ¬ ∀ x P ( x ) is equivalent to ∃ x ¬ P ( x ) {\displaystyle...

NP-complete nor Undecidable. For instance, the language of true quantified Boolean formulas is decidable in polynomial space, but not in non-deterministic...

logic, where a tautology is defined as a propositional formula that is true under any possible Boolean valuation of its propositional variables. A key property...

connective Logical matrix Product term True quantified Boolean formula Truth table Predicate logic Atomic formula Atomic sentence Domain of discourse Empty...

(the recognition of true quantified Boolean formulas) that is PSPACE-complete. Analogously, dependency quantified boolean formulas encode computation with...

truth value. Quantifiers can be applied to variables in a formula. The variable x in the previous formula can be universally quantified, for instance...

value true, the other is interrupted. This operator is thus called the parallel or. Although the type of a logical disjunction expression is boolean in most...

to a canonical boolean, ie. an integer with a value of either 0 or 1 and no other. Although any integer other than 0 is logically true in C and 1 is not...

indicating true, false, and some third value. This is contrasted with the more commonly known bivalent logics (such as classical sentential or Boolean logic)...

from Cornell University Kochi University (disambiguation) True quantified Boolean formula, also known as QSAT Kusat, a village in Oman This disambiguation...

In propositional logic and Boolean algebra, De Morgan's laws, also known as De Morgan's theorem, are a pair of transformation rules that are both valid...

mathematical logic, a sentence (or closed formula) of a predicate logic is a Boolean-valued well-formed formula with no free variables. A sentence can be...

expressions and context-sensitive grammars, determining the truth of quantified Boolean formulas, step-by-step changes between solutions of combinatorial optimization...

Without ko, Go is PSPACE-hard. This is proved by reducing True Quantified Boolean Formula, which is known to be PSPACE-complete, to generalized geography...

Church Booleans are the Church encoding of the Boolean values true and false. Some programming languages use these as an implementation model for Boolean arithmetic;...

verification. QBFEVAL is a biennial competition of solvers for true quantified Boolean formulas, which have applications to model checking. SV-COMP is an annual...

a formula. This is how we define logical connectives in propositional logic: ¬Φ is True iff Φ is False. (Φ ∧ Ψ) is True iff Φ is True and Ψ is True. (Φ...

In Boolean logic, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause is...

may also be used to evaluate fully quantified Boolean formulae in which the formula being quantified is a 2-CNF formula. A number of exact and approximate...

formula which constitutes a proposition and thus can have a truth value like true or false. An open formula can be transformed into a closed formula by...

two-element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier) B is the Boolean domain. The elements of the Boolean domain...