The Complexity of Computing Optimal Assignments of Generalized Propositional Formulae

authored by

Steffen Reith, Heribert Vollmer

Abstract

We consider the problems of finding the lexicographically minimal (or maximal) satisfying assignment of propositional formulae for different restricted formula classes. It turns out that for each class from our framework, the above problem is either polynomial time solvable or complete for OptP. We also consider the problem of deciding if in the optimal assignment the largest variable gets value 1. We show that this problem is either in P or P^NP complete.

Organisation(s)

Institute of Theoretical Computer Science

Type

Technical report

Publication date

28.09.1998

Publication status

Published