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Horn-satisfiability

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Also known as HORNSAT, Horn-SAT

In formal logic, Horn-satisfiability, or HORNSAT, is the problem of deciding whether a given conjunction of propositional Horn clauses is satisfiable or not. Horn-satisfiability and Horn clauses are named after Alfred Horn.

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10 sections
Contents
  • Algorithm
  • Examples
  • Trivial case
  • Solvable case
  • Unsolvable case
  • Generalization
  • Dual-Horn SAT
  • See also
  • References
  • Further reading

In formal logic, Horn-satisfiability, or HORNSAT, is the problem of deciding whether a given conjunction of propositional Horn clauses is satisfiable or not. Horn-satisfiability and Horn clauses are named after Alfred Horn.

A Horn clause is a clause with at most one positive literal, called the head of the clause, and any number of negative literals, forming the body of the clause. A Horn formula is a propositional formula formed by conjunction of Horn clauses.

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