Applicative Bisimilarities for Call-by-Name and Call-by-Value λμ-Calculus

Dariusz Biernacki (1) , Sergueï Lenglet (2)

1 Faculty of Mathematics and Computer Science [Wroclaw]
2 PAREO - Formal islands: foundations and applications

We propose the first sound and complete bisimilarities for the call-by-name and call-by-value untyped λµ-calculus, defined in the applicative style. We give equivalence examples to illustrate how our relations can be used; in particular, we prove David and Py's counter-example, which cannot be proved with Lassen's preexisting normal form bisimilarities for the λµ-calculus.

Mots clés: contextual equivalence; applicative bisimulation; continuation; control operator

Domaines: Informatique [cs]

Dariusz Biernacki, Sergueï Lenglet. Applicative Bisimilarities for Call-by-Name and Call-by-Value λμ-Calculus. Mathematical Foundations of Programming Semantics Thirtieth Conference, Jun 2014, Ithaca, United States. pp.49 - 64, ⟨10.1016/j.entcs.2014.10.004⟩. ⟨hal-01080960⟩