sub-SAT: a formulation for relaxed boolean satisfiability with applications in routing

  • Authors:
  • Hui Xu;Rob A. Rutenbar;Karem Sakallah

  • Affiliations:
  • Carnegie Mellon University, Pittsburgh, PA;Carnegie Mellon University, Pittsburgh, PA;The University of Michigan, Ann Arbor, MI

  • Venue:
  • Proceedings of the 2002 international symposium on Physical design
  • Year:
  • 2002

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Abstract

Advances in methods for solving Boolean satisfiability (SAT) for large problems have motivated recent attempts to recast physical de驴sign problems as Boolean SAT problems. One persistent criticism of these approaches is their inability to supply partial solutions, i.e, to satisfy most but not all of the constraints cast in the SAT style. In this paper we present a formulation for "subset satisfiable" Boolean SAT: we transform a "strict" SAT problem with N constraints into a new, "relaxed" SAT problem which is satisfiable just if not more than k