2004
DOI: 10.1007/s00165-003-0021-6
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Superposition: composition vs refinement of non-deterministic, action-based systems

Abstract: We show that the traditional notion of superposition as used for supporting parallel program design can subsume both composition and refinement relationships when non-deterministic behaviour of action-based systems is considered. For that purpose, we rely on a categorical formalisation of program design in the language CommUnity that we are also using for addressing architectural concerns.

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Cited by 9 publications
(6 citation statements)
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“…In this sense, morphisms capture relationships between designs that are similar to what in parallel program design languages is known as 'superposition' (Lopes and Fiadeiro 2004).…”
Section: Identifying Components Of Systemsmentioning
confidence: 99%
See 3 more Smart Citations
“…In this sense, morphisms capture relationships between designs that are similar to what in parallel program design languages is known as 'superposition' (Lopes and Fiadeiro 2004).…”
Section: Identifying Components Of Systemsmentioning
confidence: 99%
“…More information on the relationship between refinement and superposition, and the compositionality results that relate them can be found in Lopes and Fiadeiro (2004). Fig.…”
Section: Compositionalitymentioning
confidence: 99%
See 2 more Smart Citations
“…To do so, superimposed processes must have access to internal states in the first one; in the end, actions composing the behaviour of the whole set interleave, creating just one process. Currently, this mechanism is used quite often as a method for stepwise refinement for concurrent systems [14,18].…”
Section: Superimposition and Reflectionmentioning
confidence: 99%