Some complexity results for systemverilog assertions

  • Authors:
  • Doron Bustan;John Havlicek

  • Affiliations:
  • Freescale Semiconductor, Inc;Freescale Semiconductor, Inc

  • Venue:
  • CAV'06 Proceedings of the 18th international conference on Computer Aided Verification
  • Year:
  • 2006

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Abstract

SystemVerilog Assertions (SVA) is a linear temporal logic within the recently approved IEEE 1800 SystemVerilog standard. The complexities of the satisfiability and model-checking problems are studied for a basic subset of (SVA) and for extensions of the basic subset obtained by adding each of the following features: local variables, regular expression intersection, quantified variables, and property declarations with arguments. It is shown that the complexities for the basic subset are PSPACE-complete, while the complexities increase to EXPSPACE-complete in each of the extensions. Alternating Büchi automata constructions provide the upper bounds, while reductions from PSPACE and EXPSPACE tiling problems provide the lower bounds.