On Program Equivalence in Languages with Ground-Type References

  • Authors:
  • Andrzej S. Murawski

  • Affiliations:
  • -

  • Venue:
  • LICS '03 Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 2003

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Abstract

Using game semantics we prove that program equivalenceis undecidable in finitary Idealized Algol with activeexpressions as well as in its call-by-value counterpart.It is also shown that strategies corresponding to IdealizedAlgol terms of respectively second, third and higherorders define exactly regular, context-free and recursivelyenumerable languages.