Counterexamples to applicative simulation and extensionality in non-deterministic call-by-need lambda-calculi with letrec

Manfred Schmidt-Schauß; David Sabel; Elena MacHkasova

doi:10.1016/j.ipl.2011.04.011

Counterexamples to applicative simulation and extensionality in non-deterministic call-by-need lambda-calculi with letrec

Manfred Schmidt-Schauß, David Sabel, Elena MacHkasova

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4 Scopus citations

Abstract

This note provides an example that demonstrates that in non-deterministic call-by-need lambda-calculi extended with cyclic let, extensionality as well as applicative bisimulation in general may not be used as criteria for contextual equivalence w.r.t. may- and two different forms of must-convergence. We also outline how the counterexample can be adapted to other calculi.

Original language	English (US)
Pages (from-to)	711-716
Number of pages	6
Journal	Information Processing Letters
Volume	111
Issue number	14
DOIs	https://doi.org/10.1016/j.ipl.2011.04.011
State	Published - Jul 31 2011

Bibliographical note

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Copyright 2011 Elsevier B.V., All rights reserved.

Keywords

Contextual semantics
Formal semantics
Program correctness
Programming calculi

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Counterexamples to applicative simulation and extensionality in non-deterministic call-by-need lambda-calculi with letrec

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