Logical Relations for Dynamic . . .

Logical Relations for Dynamic . . . (2003)

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by Yu Zhang , David Nowak

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IN PROC. CSL/KGL'03, VOLUME 2803 OF LNCS

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Datum	Value	Source
TITLE	Logical Relations for Dynamic . . .	user correction
AUTHOR NAME	Yu Zhang	user correction
AUTHOR AFFIL	LSV, CNRS UMR 8643, ENS de Cachan	user correction
AUTHOR ADDR	94235 Cachan Cedex, France	user correction
AUTHOR NAME	David Nowak	user correction
AUTHOR AFFIL	LSV, CNRS UMR 8643, ENS de Cachan	user correction
AUTHOR ADDR	94235 Cachan Cedex, France	user correction
ABSTRACT	Pitts and Stark's nu-calculus is a typed lambda-calculus which forms a basis for the study of interaction between higher-order functions and dynamically created names. A similar approach has received renewed attention recently through Sumii and Pierce's cryptographic lambda-calculus, which deals with security protocols. Logical relations are a powerful tool to prove properties of such a calculus, notably observational equivalence. While Pitts and Stark construct a logical relation for the nu-calculus, it rests heavily on operational aspects of the calculus and is hard to be extended. We propose an alternative Kripke logical relation for the nu-calculus, which is derived naturally from the categorical model of the nu-calculus and the general notion of Kripke logical relation. This is also related to the Kripke logical relation for the name creation monad by Goubault-Larrecq et al. (CSL'2002), which the authors claimed had similarities with Pitts and Stark's logical relation. We show that their Kripke logical relation for names is strictly weaker than Pitts and Stark's. We also show that our Kripke logical relation, which extends the de nition of Goubault-Larrecq et al., is equivalent to Pitts and Stark's up to rst-order types; our de nition rests on purely semantic constituents, and dispenses with the detours through operational semantics that Pitts and Stark use.	user correction - Legacy Corrections
YEAR	2003	INFERENCE
VENUE	IN PROC. CSL/KGL'03, VOLUME 2803 OF LNCS	user correction
VENUE TYPE	CONFERENCE	INFERENCE
CITATIONS	16 found	ParsCit 1.0