On Solving Stack-Based Incremental Satisfiability Problems

  • Authors:
  • Affiliations:
  • Venue:
  • ICCD '00 Proceedings of the 2000 IEEE International Conference on Computer Design: VLSI in Computers & Processors
  • Year:
  • 2000

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Abstract

Boolean Satisfiability (SAT) and its application to a number of electronic design automation (EDA) problems have been the topic of extensive study over the last couple of decades. In many cases, a set of related SAT problems need to be solved in order to obtain an answer to a given application-specific problem. Incremental satisfiability (ISAT) refers to solving a set of related SAT problems by augmenting a previously solved problem with additional constraints, thereby reusing previous decision sequences. In this paper, we present a new ISAT engine that supports both the addition and removal of constraints. This can be achieved by keeping track of the relationship between constraints. We identify and define a special type of ISAT that occurs frequently in the context of path sensitization called stack-based ISAT and define the structure of this as a problem tree. In this type of ISAT, constraints are allowed to be added and removed only in last-in first-out (LIFO) order. We also introduce a solution cashing mechanism to expedite the search by recording the retrieving solutions to intermediate nodes in a problem tree.