The concurrency complexity for the Horn fragment of linear logic

  • Sergey M. Dudakov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1234)


The provability problem for the Horn fragment of linear logic is NP-complete [4, 1]. In this work we investigate various definitions of concurrency proposed in [2] and establish the complexity of the provability problem and the problem of concurrency recognition. The notion of k-maximal concurrency is introduced which guarantees polynomial time provability. Theorems on hierarchy and on complexity of recognition of the property are proved.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Sergey M. Dudakov
    • 1
  1. 1.Dept. of CSTver St. Univ.TverRussia

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