This paper presents an algorithm for a non-standard logicminimization problem that arises in £ -valued propositional logic. The problem is motivated by the potential for obtaining better answers in applications that use £ -valued logic. An answer of ¤ or ¥ provides precise (definite) information; an answer of ¥§¦©¨ provides imprecise (indefinite) information. By replacing a formula with a “better” formula , we may improve the precision of the answers obtained. In this paper, we give an algorithm that always produces a formula that is “best” (in a certain well-defined sense).
Thomas W. Reps, Alexey Loginov, Shmuel Sagiv