Alex Simpson (Author), Niels Voorneveld (Author)

Abstract

The paper investigates behavioural equivalence between programs in a call-by-value functional language extended with a signature of (algebraic) effect-triggering operations. Two programs are considered as being behaviourally equivalent if they enjoy the same behavioural properties. To formulate this, we define a logic whose formulas specify behavioural properties. A crucial ingredient is a collection of modalities expressing effect-specific aspects of behaviour. We give a general theory of such modalities. If two conditions, openness and decomposability, are satisfied by the modalities then the logically specified behavioural equivalence coincides with a modality-defined notion of applicative bisimilarity, which can be proven to be a congruence by a generalisation of Howe's method. We show that the openness and decomposability conditions hold for several examples of algebraic effects: nondeterminism, probabilistic choice, global store and input/output.

Keywords

computer science;behavioural equivalence;call-by-value functional language;openness;decomposability;

Data

Language: English
Year of publishing:
Typology: 1.08 - Published Scientific Conference Contribution
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 004.43
COBISS: 18420569 Link will open in a new window
Views: 741
Downloads: 569
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Other data

Secondary language: English
Pages: Str. 300-326
DOI: 10.1007/978-3-319-89884-1_11
ID: 11124613