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Normal Form Bisimulations for Delimited-Control Operators

Abstract : We define a notion of normal form bisimilarity for the un-typed call-by-value λ-calculus extended with the delimited-control operators shift and reset. Normal form bisimilarities are simple, easy-to-use behavioral equivalences which relate terms without having to test them within all contexts (like contextual equivalence), or by applying them to function arguments (like applicative bisimilarity). We prove that the normal form bisimilarity for shift and reset is sound but not complete w.r.t. contextual equivalence and we define up-to techniques that aim at simplifying bisimulation proofs. Finally, we illustrate the simplicity of the techniques we develop by proving several equivalences on terms.
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Submitted on : Monday, November 21, 2016 - 11:08:00 AM
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Dariusz Biernacki, Sergueï Lenglet. Normal Form Bisimulations for Delimited-Control Operators. Symposium on Functional and Logic Programming (FLOPS 2012), Jun 2012, Kobé, Japan. pp.47 - 61, ⟨10.1007/978-3-642-29822-6_7⟩. ⟨hal-01399951⟩



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