@article {DBLP:journals/jlp/NevesBHM16, title = {Continuity as a computational effect}, journal = {J. Log. Algebr. Meth. Program.}, volume = {85}, number = {5}, year = {2016}, note = {

n/a

}, pages = {1057{\textendash}1085}, publisher = {Elsevier}, abstract = {

The original purpose of component-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 1+, powerset, and distribution monads in the characterisation of partial, nondeterministic and probabilistic components, respectively. This monad and its Kleisli category provide a universe in which the effects of continuity over (different forms of) composition can be suitably studied.

}, doi = {10.1016/j.jlamp.2016.05.005}, url = {http://dx.doi.org/10.1016/j.jlamp.2016.05.005}, attachments = {https://haslab.uminho.pt/sites/default/files/lsb/files/nbhm16.pdf}, author = {Renato Neves and Luis Soares Barbosa and Dirk Hofmann and Manuel A. Martins} }