Algorithmic Games for Full Ground References

  • Andrzej S. Murawski
  • Nikos Tzevelekos
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7392)


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.


Typing Judgment Register Assignment Game Semantic Algorithmic Game Full Ground 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Andrzej S. Murawski
    • 1
  • Nikos Tzevelekos
    • 2
  1. 1.University of LeicesterUK
  2. 2.Queen Mary, University of LondonUK

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