Minimally unsatisfiable boolean circuits

  • Authors:
  • Anton Belov;Joao Marques-Silva

  • Affiliations:
  • Complex and Adaptive Systems Laboratory, School of Computer Science and Informatics, University College Dublin, Ireland;Complex and Adaptive Systems Laboratory, School of Computer Science and Informatics, University College Dublin, Ireland

  • Venue:
  • SAT'11 Proceedings of the 14th international conference on Theory and application of satisfiability testing
  • Year:
  • 2011

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Abstract

Automated reasoning tasks in many real-world domains involve analysis of redundancies in unsatisfiable instances of SAT. In CNF-based instances, some of the redundancies can be captured by computing a minimally unsatisfiable subset of clauses (MUS). However, the notion of MUS does not apply directly to non-clausal instances of SAT, particularly those that are represented as Boolean circuits. In this paper we identify certain types of redundancies in unsatisfiable Boolean circuits, and propose a number of algorithms to compute minimally unsatisfiable, that is, irredundant, subcircuits.