A Note on Satisfying Truth-Value Assignments of Boolean Formulas

Abstract. In this paper we define a class of truth-value assignments, called bounded assignments, using a certain substitutional property. We show that every satisfiable Boolean formula has at least one bounded assignment. This allows us to show that satisfying truthvalue assignments of formulas in USAT can be syntactically defined in the language of classical propositional logic. We also discuss a possible application of bounded truth-value assignments in local search and other methods for solving Boolean satisfiability problems.

• Type: Conference
• Year: 2004
• Where: SAT
• Authors: Zbigniew Stachniak
• Keywords: Certain Substitutional Property, SAT 2004, Satisfiable Boolean Formula, Truth-value Assignments