Applicative may- and should-simulation in the call-by-value
lambda calculus with amb

Motivated by the question whether sound and expressive applicative similarities for program calculi with should-convergence exist, this paper investigates expressive applicative similarities for the untyped call-by-value lambda-calculus extended with McCarthy's ambiguous choice operator amb. Soundness of the applicative similarities w.r.t. contextual equivalence based on may-and should-convergence is proved by adapting Howe's method to should-convergence. As usual for nondeterministic calculi, similarity is not complete w.r.t. contextual equivalence which requires a rather complex counter example as a witness. Also the call-by-value lambda-calculus with the weaker nondeterministic construct erratic choice is analyzed and sound applicative similarities are provided. This justifies the expectation that also for more expressive and call-by-need higher-order calculi there are sound and powerful similarities for should-convergence.

Metadaten
Author:	Manfred Schmidt-Schauß ORCiD GND, David Sabel ORCiD GND
URN:	urn:nbn:de:hebis:30:3-336093
URL:	http://www.ki.informatik.uni-frankfurt.de/papers/frank/frank-54.pdf
Parent Title (German):	Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik ; 54
Series (Serial Number):	Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik (54)
Publisher:	Johann Wolfgang Goethe-Univ., Fachbereich Informatik und Mathematik, Inst. für Informatik, Research group for Artificial Intelligence and Software Technology
Place of publication:	Frankfurt [am Main]
Document Type:	Working Paper
Language:	English
Date of Publication (online):	2014/04/25
Date of first Publication:	2014/04/25
Publishing Institution:	Universitätsbibliothek Johann Christian Senckenberg
Release Date:	2014/06/24
Page Number:	19
First Page:	1
Last Page:	19
HeBIS-PPN:	344382850
Institutes:	Informatik und Mathematik / Informatik
Dewey Decimal Classification:	0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik
Sammlungen:	Universitätspublikationen
Licence (German):	Deutsches Urheberrecht

Open Access