Eager Normal Form Bisimulation

  • Authors:
  • Soren Lassen

  • Affiliations:
  • Google, Inc

  • Venue:
  • LICS '05 Proceedings of the 20th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 2005

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Abstract

This paper describes two new bisimulation equivalences for the pure untyped call-by-value ?-calculus, called enf bisimilarity and enf bisimilarity up to ?. They are based on eager reduction of terms to eager normal form (enf), analogously to co-inductive bisimulation characterizations of Lévy-Longo tree equivalence and Böhm tree equivalence (up to ?). We argue that enf bisimilarity is the call-by-value analogue of Lévy-Longo tree equivalence. Enf bisimilarity (up to ?) is the congruence on source terms induced by the call-by-value CPS transform and Böhm tree equivalence (up to ?) on target terms. Enf bisimilarity and enf bisimilarity up to ? enjoy powerful bisimulation proof principles which, among other things, can be used to establish a retraction theorem for the call-by-value CPS transform.