Towards a Calculus of State-based Software Components

Lu­ís Soares Barbosa · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · 2020

Abstract: This paper introduces a calculus of state-based software components modelled as concrete coalgebras for some Set endofunctors, with specified initial conditions. The calculus is parametrized by a notion of behaviour, introduced as a strong (usually commutative) monad. The proposed component model and calculus are illustrated through the characterisation of a particular class of components, classified as separable, which includes the ones arising in the so-called model oriented approach to systems’ design.

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