A finite simulation method in a non-deterministic call-by-need calculus with letrec, constructors and case

  • The paper proposes a variation of simulation for checking and proving contextual equivalence in a non-deterministic call-by-need lambda-calculus with constructors, case, seq, and a letrec with cyclic dependencies. It also proposes a novel method to prove its correctness. The calculus’ semantics is based on a small-step rewrite semantics and on may-convergence. The cyclic nature of letrec bindings, as well as nondeterminism, makes known approaches to prove that simulation implies contextual equivalence, such as Howe’s proof technique, inapplicable in this setting. The basic technique for the simulation as well as the correctness proof is called pre-evaluation, which computes a set of answers for every closed expression. If simulation succeeds in finite computation depth, then it is guaranteed to show contextual preorder of expressions.

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Metadaten
Author:Manfred Schmidt-SchaußORCiDGND, Elena Machkasova
URN:urn:nbn:de:hebis:30:3-344298
URL:http://www.ki.informatik.uni-frankfurt.de/papers/frank/frank32-finsim-v2.pdf
Parent Title (English):Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik ; 32
Series (Serial Number):Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik (32 [v.2])
Publisher:Johann Wolfgang Goethe-Univ., Fachbereich Informatik und Mathematik, Inst. für Informatik
Place of publication:Frankfurt am Main
Document Type:Working Paper
Language:English
Date of Publication (online):2009/07/23
Date of first Publication:2009/07/23
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2014/07/08
GND Keyword:Programmiersprache; Lambda-Kalkül; Operationale Semantik
Issue:Version: 23 Juli 2009
Page Number:60
Last Page:60
HeBIS-PPN:344379698
Institutes:Informatik und Mathematik / Informatik
Dewey Decimal Classification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik
Sammlungen:Universitätspublikationen
Licence (German):License LogoDeutsches Urheberrecht

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