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values of two equisatisfiable formulae may nevertheless disagree for a particular assignment of variables. As a result, equisatisfiability differs from
Equisatisfiability
Operation in Boolean circuit theory
variables introduced. While this is redundant, it does not affect the equisatisfiability of the resulting equation. Now substitute each gate with its appropriate
Tseytin_transformation
Concept in logic
same truth value. Philosophy portal Psychology portal Entailment Equisatisfiability If and only if Logical biconditional Logical equality ≡ the iff symbol
Logical_equivalence
Formalism of first-order logic
formula is not necessarily equivalent to the original one, but is equisatisfiable with it: it is satisfiable if and only if the original one is satisfiable
Skolem_normal_form
Standard form of Boolean function
means that the original formula and the result of the translation are equisatisfiable but not equivalent. An alternative translation, the Tseitin transformation
Conjunctive_normal_form
Formal system of logic
sense that for every formula of a higher-order logic, one can find an equisatisfiable formula for it in second-order logic. The term "higher-order logic"
Higher-order_logic
Problem of determining if a Boolean formula could be made true
variables. However, with use of the Tseytin transformation, we may find an equisatisfiable conjunctive normal form formula with length linear in the size of the
Boolean satisfiability problem
Boolean_satisfiability_problem
Replacing subterm in a formula with another term
rewriting systems in logic may not preserve truth values, see e.g. equisatisfiability. Term rewriting systems can be employed to compute arithmetic operations
Rewriting
input clause with more than 3 literals can be transformed into an equisatisfiable conjunction of clauses á 3 literals similar to above; i.e. XOR-SAT
XOR-SAT
SAT solving algorithm
C} , is called the resolvent of the two clauses. The resolvent is equisatisfiable with its premises (that is, the resolvent is satisfiable if and only
Conflict-driven clause learning
Conflict-driven_clause_learning
Input value for which an existential statement of a function is true
, y ) {\displaystyle \forall x\,\exists y\,\varphi (x,y)} then an equisatisfiable statement for S is ∃ f ∀ x φ ( x , f ( x ) ) {\displaystyle \exists
Witness_(mathematics)
Approach to formal semantics
ϕ ( x , y ) {\displaystyle \forall x\exists y\,\phi (x,y)} then an equisatisfiable statement for S is ∃ f ∀ x ϕ ( x , f ( x ) ) {\displaystyle \exists
Game_semantics
Normal form for modal logic formulas
normal modal logic, any set of formulae can be transformed into an equisatisfiable set of formulae in this normal form. In multimodal logic where a represents
Modal_clausal_form
Check the validity of a logic formula
each step of the SAT solver, the intermediate formula generated is equisatisfiable, but possibly not equivalent, to the original formula. The resolution
Davis–Putnam_algorithm
NP-complete variant of the Boolean satisfiability problem
3-SAT instance with m clauses and n variables may be converted into an equisatisfiable one-in-three 3-SAT instance with 5m clauses and n + 6m variables. The
1-in-3-SAT
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