We present an abstract equational framework for the specification of systems having both observational and computational features. Our approach is based on a clear separation between the two categories of features, and uses algebra, respectively coalgebra to formalise them. This yields a coalgebraically-defined notion of observational indistinguishability, as well as an algebraically-defined notion of reachability under computations. The relationship between the computations yielding new system states and the observations that can be made about these states is specified using liftings of the coalgebraic structure of state spaces to a coalgebraic structure on computations over these state spaces. Also, correctness properties of system behaviour are formalised using equational sentences, with the associated notions of satisfaction abstracting away observationally indistinguishable, respectively unreachable states, and with the resulting proof techniques employing coinduction, respectively induction.
@article{ITA_2001__35_1_1_0,
author = {C{\^\i}rstea, Corina},
title = {Integrating observational and computational features in the specification of state-based, dynamical systems},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {1--29},
publisher = {EDP-Sciences},
volume = {35},
number = {1},
year = {2001},
mrnumber = {1845873},
zbl = {0987.18004},
language = {en},
url = {http://archive.numdam.org/item/ITA_2001__35_1_1_0/}
}
TY - JOUR AU - Cîrstea, Corina TI - Integrating observational and computational features in the specification of state-based, dynamical systems JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2001 SP - 1 EP - 29 VL - 35 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/item/ITA_2001__35_1_1_0/ LA - en ID - ITA_2001__35_1_1_0 ER -
%0 Journal Article %A Cîrstea, Corina %T Integrating observational and computational features in the specification of state-based, dynamical systems %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2001 %P 1-29 %V 35 %N 1 %I EDP-Sciences %U http://archive.numdam.org/item/ITA_2001__35_1_1_0/ %G en %F ITA_2001__35_1_1_0
Cîrstea, Corina. Integrating observational and computational features in the specification of state-based, dynamical systems. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 1, pp. 1-29. http://archive.numdam.org/item/ITA_2001__35_1_1_0/
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