Lukas' Notes

Empty Clause

May 01, 20261 min read

logic

Definition

Empty Clause

The empty clause is a clause containing no literals. It is denoted by □.

Since a clause is satisfied if at least one of its literals is true, and the empty clause has no literals, it is unsatisfiable under every interpretation.


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Backlinks

  • Davis–Putnam–Logemann–Loveland Algorithm
  • Derivation (Propositional Resolution)
  • Entailment–Unsatisfiability Duality
  • Propositional Resolution Calculus
  • Refutation (Propositional Resolution)
  • Unit Propagation

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