Deriving Bisimulation Congruences: 2-Categories vs. Precategories

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Deriving Bisimulation Congruences: 2-Categories Vs Precategories

G-relative pushouts (GRPOs) have recently been proposed by the authors as a new foundation for Leifer and Milner’s approach to deriving labelled bisimulation congruences from reduction systems. This paper develops the theory of GRPOs further, arguing that they provide a simple and powerful basis towards a comprehensive solution. As an example, we construct GRPOs in a category of ‘bunches and wi...

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We introduce G-relative-pushouts (GRPO) which are a 2-categorical generalisation of relative-pushouts (RPO). They are suitable for deriving labelled transition systems (LTS) for process calculi where terms are viewed modulo structural congruence. We develop their basic properties and show that bisimulation on the LTS derived via GRPOs is a congruence, provided that sufficiently many GRPOs exist...

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Deriving Bisimulation Congruences for Reactive Systems

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The focus of process calculi is interaction rather than computation, and for this very reason: (i) their operational semantics is conveniently expressed by labelled transition systems (LTSs) whose labels model the possible interactions of a process with the environment; (ii) their abstract semantics is conveniently expressed by observational congruences. However, many current-day process calcul...

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ژورنال

عنوان ژورنال: BRICS Report Series

سال: 2003

ISSN: 1601-5355,0909-0878

DOI: 10.7146/brics.v10i1.21772