• 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