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Everything about Equisatisfiability

In mathematical logic, two formulae are equisatisfiable if the first formula is satisfiable whenever the second is and vice versa; in other words, either both formulae are satisfiable or neither is. The truth values of two equisatisfiable formulae may nevertheless disagree for a particular assignment of variables. As a result, equisatisfiability differs from logical equivalence, since two equivalent formulae always have the same models, whereas equisatisfiable ones need only share satisfiability status. More formally, the equisatisfiability meta formula is true if either the two subformulae are both satisfiable or if they both are not: Wikipedia →

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Noun The condition of being equisatisfiable.

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