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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 (also known as Second-order 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).
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given Booleanformula. In other words, it asks whether the variables of a given Booleanformula can be consistently replaced by the values TRUE or FALSE...
A formula game is an artificial game represented by a fully quantifiedBooleanformula such as ∃ x 1 ∀ x 2 ∃ x 3 … ψ {\displaystyle \exists x_{1}\forall...
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intersection and union of sets. A quantified propositional function is a statement; thus, like statements, quantified functions can be negated. The ¬ ...
universal quantifier into an existential quantifier and negating the quantifiedformula. That is, ¬ ∀ x P ( x ) is equivalent to ∃ x ¬ P ( x ) {\displaystyle...
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connective Logical matrix Product term TruequantifiedBooleanformula Truth table Predicate logic Atomic formula Atomic sentence Domain of discourse Empty...
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...
Without ko, Go is PSPACE-hard. This is proved by reducing TrueQuantifiedBooleanFormula, which is known to be PSPACE-complete, to generalized geography...
Algebraically, classical negation corresponds to complementation in a Boolean algebra, and intuitionistic negation to pseudocomplementation in a Heyting...
verification. QBFEVAL is a biennial competition of solvers for truequantifiedBooleanformulas, which have applications to model checking. SV-COMP is an annual...
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...
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quantified Boolean formulas. A (fully) quantifiedBooleanformula is a formula in quantified propositional logic where every variable is quantified (or bound)...
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