Environmental Bisimulations for Delimited-Control Operators

Dariusz Biernacki (1) , Sergueï Lenglet (2)

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

We present a theory of environmental bisimilarity for the delimited-control operators shift and reset. We consider two different notions of contextual equivalence: one that does not require the presence of a top-level control delimiter when executing tested terms, and another one, fully compatible with the original CPS semantics of shift and reset, that does. For each of them, we develop sound and complete environmental bisimilarities, and we discuss up-to techniques.

Domaines: Langage de programmation [cs.PL]

Dariusz Biernacki, Sergueï Lenglet. Environmental Bisimulations for Delimited-Control Operators. APLAS - 11th Asian Symposium on Programming Languages and Systems - 2013, Dec 2013, Melbourne, Australia. pp.333-348. ⟨hal-00903839⟩