@article {2602, title = {Continuity as a computational effect}, year = {2015}, month = {July}, address = {Braga, Portugal}, abstract = {

The original purpose of component{\textendash}based development was to provide techniques to master complex software, through composition, reuse and parametrisation. However, such systems are rapidly moving towards a level in which software becomes prevalently intertwined with (continuous) physical processes. A possible way to accommodate the latter in component calculi relies on a suitable encoding of continuous behaviour as (yet another) computational effect. This paper introduces such an encoding through a monad which, in the compositional development of hybrid systems, may play a role similar to the one played by the 1+, powerset, and distribution monads in the characterisation of partial, non deterministic and probabilistic components, respectively. This monad and its Kleisli category provide a setting in which the effects of continuity over (different forms of) composition can be suitably studied.

}, issn = {CoRR abs/1507.03219}, attachments = {https://haslab.uminho.pt/sites/default/files/lsb/files/1507.03219v1.pdf}, author = {Luis Soares Barbosa and Renato Neves and Manuel A. Martins and Dirk Hofmann} }