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A deterministic rewrite system for the probabilistic λ-calculus

Published online by Cambridge University Press:  06 June 2019

Thomas Leventis
Thomas Leventis*
Affiliation:
Institut de Mathématiques de Marseille (I2M), Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France and Institut de Recherche en Informatique Fondamentale (IRIF), Université Paris Diderot, Paris, France
*
*Corresponding author. Email: thomas.leventis@ens-lyon.org
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Abstract

In this paper we present an operational semantics for the ‘call-by-name’ probabilistic λ-calculus, whose main feature is to use only deterministic relations and to have no constraint on the reduction strategy. The calculus enjoys similar properties to the usual λ-calculus. In particular we prove it to be confluent, and we prove a standardisation theorem.

Keywords

Lambda-calculusprobabilistic lambda-calculusoperational semanticsequational theoriesstandardisation
Type
Paper
Information
Mathematical Structures in Computer Science , Volume 29 , Issue 10 , November 2019 , pp. 1479 - 1512
Copyright
© Cambridge University Press 2019 

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