On the Complexity of Consistency and Complete State Coding for Signal Transition Graphs

  • Authors:
  • Javier Esparza;Petr Jan!car;Alexander Miller

  • Affiliations:
  • Univ. Stuttgart, Germany;TU Ostrava, Czechia;Univ. Stuttgart, Germany

  • Venue:
  • ACSD '06 Proceedings of the Sixth International Conference on Application of Concurrency to System Design
  • Year:
  • 2006

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Abstract

Signal Transition Graphs (STGs) are a popular formalism for the specification of asynchronous circuits. A necessary condition for the implementability of an STG is the existence of a consistent and complete state encoding. For an important subclass of STGs, the marked graph STGs, we show that checking consistency is polynomial, but checking the existence of a complete state coding is co-NP-complete. In fact, co-NP-completeness already holds for acyclic and 1-bounded marked graph STGs and for live and 1-bounded marked graph STGs. We add some relevant results for freechoice, bounded, and general STGs.