Math 2.0

Mathematical logic and foundations Propositional logic Concept

Satisfiability

Summary

A formula is satisfiable when some interpretation makes it true. In propositional logic an interpretation is an assignment of truth values to the variables. In predicate logic it is a structure with an assignment of its elements to the free variables. Satisfiability is dual to validity: a formula is valid exactly when its negation is not satisfiable.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Satisfiability
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Changed2 November 2026

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