Post embedding problem is not primitive recursive, with applications to channel systems

  • Authors:
  • Pierre Chambart;Philippe Schnoebelen

  • Affiliations:
  • LSV, ENS Cachan, CNRS, Cachan, France;LSV, ENS Cachan, CNRS, Cachan, France

  • Venue:
  • FSTTCS'07 Proceedings of the 27th international conference on Foundations of software technology and theoretical computer science
  • Year:
  • 2007

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Abstract

We introduce PEP, the Post Embedding Problem, a variant of PCP where one compares strings with the subword relation, and PEPreg, a further variant where solutions are constrained and must belong to a given regular language. PEPreg is decidable but not primitive recursive. This entails the decidability of reachability for unidirectional systems with one reliable and one lossy channel.