On Applicative Similarity, Sequentiality, and Full Abstraction

Raphaëlle Crubillé 1 Ugo Dal Lago 2, 3 Davide Sangiorgi 2, 3 Valeria Vignudelli 2, 3
2 FOCUS - Foundations of Component-based Ubiquitous Systems
CRISAM - Inria Sophia Antipolis - Méditerranée , DISI - Dipartimento di Informatica - Scienza e Ingegneria [Bologna]
Abstract : We study how applicative bisimilarity behaves when instantiated on a call-by-value probabilistic λ-calculus, endowed with Plotkin's parallel disjunction operator. We prove that congruence and coincidence with the corresponding context relation hold for both bisimilarity and similarity, the latter known to be impossible in sequential languages.
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Raphaëlle Crubillé, Ugo Dal Lago, Davide Sangiorgi, Valeria Vignudelli. On Applicative Similarity, Sequentiality, and Full Abstraction. Correct System Design. Symposium in Honor of Ernst-Rüdiger Olderog on the Occasion of His 60th Birthday, Sep 2015, Oldenburg, Germany. ⟨10.1007/978-3-319-23506-6_7⟩. ⟨hal-01229398⟩

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