On the Complexity of Consistency and Complete State Coding for Signal Transition Graphs
Fundamenta Informaticae - Application of Concurrency to System Design (ACSD'06)
Efficient automatic resolution of encoding conflicts using STG unfoldings
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
On the Complexity of Consistency and Complete State Coding for Signal Transition Graphs
Fundamenta Informaticae - Application of Concurrency to System Design (ACSD'06)
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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.