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2020•Unpublished venueRequires access

When Reachability Meets Grzegorczyk

Jérôme Leroux

Open publisher page 1 citations

Abstract

Vector addition systems with states, or equivalently vector addition systems, or Petri nets are a long established model of concurrency with extensive applications in modelling and analysis of hardware, software and database systems, as well as chemical, biological and business processes. The central algorithmic problem is reachability: whether from a given initial configuration there exists a sequence of valid execution steps that reaches a given final configuration. The complexity of the problem has remained unsettled since the 1960s, and it is one of the most prominent open questions in the theory of computation.

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What this paper is about

Vector addition systems with states, or equivalently vector addition systems, or Petri nets are a long established model of concurrency with extensive applications in modelling and analysis of hardware, software and database systems, as well as chemical, biological and business processes. The central algorithmic problem is reachability: whether from a given initial configuration there exists a sequence of valid execution steps that reaches a given final configuration. The complexity of the problem has remained unsettled since the 1960s, and it is one of the most prominent open questions in the theory of computation.

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Available abstract

Vector addition systems with states, or equivalently vector addition systems, or Petri nets are a long established model of concurrency with extensive applications in modelling and analysis of hardware, software and database systems, as well as chemical, biological and business processes. The central algorithmic problem is reachability: whether from a given initial configuration there exists a sequence of valid execution steps that reaches a given final configuration. The complexity of the problem has remained unsettled since the 1960s, and it is one of the most prominent open questions in the theory of computation.

Key concepts: Reachability, Concurrency, Petri net, Computer science, Reachability problem, Theoretical computer science, Computation, Sequence (biology)

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