truth values of two equisatisfiable formulae may disagree, however, for a particular choice of variables. As a result, equisatisfiability is different from...
2 KB (287 words) - 15:01, 3 June 2025
variables introduced. While this is redundant, it does not affect the equisatisfiability of the resulting equation. Now substitute each gate with its appropriate...
12 KB (1,498 words) - 18:39, 1 July 2025
same truth value. Philosophy portal Psychology portal Entailment Equisatisfiability If and only if Logical biconditional Logical equality ≡ the iff symbol...
6 KB (751 words) - 03:54, 11 March 2025
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...
45 KB (4,870 words) - 16:46, 24 June 2025
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...
11 KB (1,909 words) - 06:27, 25 July 2024
rewriting systems in logic may not preserve truth values, see e.g. equisatisfiability. Term rewriting systems can be employed to compute arithmetic operations...
32 KB (4,422 words) - 11:53, 4 May 2025
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"...
9 KB (1,066 words) - 21:59, 16 April 2025
means that the original formula and the result of the translation are equisatisfiable but not equivalent. An alternative translation, the Tseitin transformation...
30 KB (3,490 words) - 17:59, 10 May 2025
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...
7 KB (559 words) - 09:42, 9 July 2025
each step of the SAT solver, the intermediate formula generated is equisatisfiable, but possibly not equivalent, to the original formula. The resolution...
7 KB (766 words) - 20:59, 5 August 2024
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...
3 KB (414 words) - 09:56, 23 March 2025
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...
23 KB (2,857 words) - 20:45, 26 May 2025
, y ) {\displaystyle \forall x\,\exists y\,\varphi (x,y)} then an equisatisfiable statement for S is ∃ f ∀ x φ ( x , f ( x ) ) {\displaystyle \exists...
3 KB (492 words) - 20:31, 22 April 2024
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...
36 KB (1,408 words) - 04:24, 7 July 2025