Affiliation:
1. University of Ljubljana, Jadranska, Ljubljana, Slovenia
Abstract
The article 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.
Funder
Air Force Office of Scientific Research
Slovenian Research Agency
European Union's Horizon 2020 research and innovation programme
Marie Skłodowska-Curie
Publisher
Association for Computing Machinery (ACM)
Cited by
10 articles.
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