Algorithmic games for full ground references

  • Authors:
  • Andrzej S. Murawski;Nikos Tzevelekos

  • Affiliations:
  • University of Leicester, UK;Queen Mary, University of London, UK

  • Venue:
  • ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part II
  • Year:
  • 2012

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Abstract

We present a full classification of decidable and undecidable cases for contextual equivalence in a finitary ML-like language equipped with full ground storage (both integers and reference names can be stored). The simplest undecidable type is unit→unit→unit. At the technical level, our results marry game semantics with automata-theoretic techniques developed to handle infinite alphabets. On the automata-theoretic front, we show decidability of the emptiness problem for register pushdown automata extended with fresh-symbol generation.