About: This article revisits the problem of decomposing a Petri net into a network of automata, a problem that has been around since the early 70s. We reformulate this problem as the transformation of an ordinary, one-safe Petri net into a flat, unit-safe NUPN (Nested-Unit Petri Net) and define a quality criterion based on the number of bits required for the structural encoding of markings. We propose various transformation methods, all of which we implemented in a tool chain that combines NUPN tools with third-party software, such as SAT solvers, SMT solvers, and tools for graph colouring and finding maximal cliques. We perform an extensive evaluation of these methods on a collection of more than 12,000 nets from diverse sources, including nets whose marking graph is too large for being explored exhaustively.   Goto Sponge  NotDistinct  Permalink

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  • This article revisits the problem of decomposing a Petri net into a network of automata, a problem that has been around since the early 70s. We reformulate this problem as the transformation of an ordinary, one-safe Petri net into a flat, unit-safe NUPN (Nested-Unit Petri Net) and define a quality criterion based on the number of bits required for the structural encoding of markings. We propose various transformation methods, all of which we implemented in a tool chain that combines NUPN tools with third-party software, such as SAT solvers, SMT solvers, and tools for graph colouring and finding maximal cliques. We perform an extensive evaluation of these methods on a collection of more than 12,000 nets from diverse sources, including nets whose marking graph is too large for being explored exhaustively.
Subject
  • Graph theory
  • Constraint programming
  • Models of computation
  • Automata (computation)
  • NP-complete problems
  • Diagrams
  • Electronic design automation
  • Formal methods
  • Formal specification languages
  • Logic in computer science
  • Concurrency (computer science)
  • Petri nets
  • Software modeling language
  • Satisfiability problems
  • Modeling languages
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