Integrating Observational and Computational Features in the Specification of State-Based, Dynamical Systems

Corina Cîrstea

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 35, Issue: 1, page 1-29
  • ISSN: 0988-3754

Abstract

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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.

How to cite

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Cîrstea, Corina. "Integrating Observational and Computational Features in the Specification of State-Based, Dynamical Systems." RAIRO - Theoretical Informatics and Applications 35.1 (2010): 1-29. <http://eudml.org/doc/221970>.

@article{Cîrstea2010,
abstract = { 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. },
author = {Cîrstea, Corina},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {state-based dynamical systems; equational specifications},
language = {eng},
month = {3},
number = {1},
pages = {1-29},
publisher = {EDP Sciences},
title = {Integrating Observational and Computational Features in the Specification of State-Based, Dynamical Systems},
url = {http://eudml.org/doc/221970},
volume = {35},
year = {2010},
}

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
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 1
SP - 1
EP - 29
AB - 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.
LA - eng
KW - state-based dynamical systems; equational specifications
UR - http://eudml.org/doc/221970
ER -

References

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  4. C. Cîrstea, Integrating Observations and Computations in the Specification of State-Based, Dynamical Systems, Ph.D. Thesis. University of Oxford (2000)  URIhttp://www.comlab.ox.ac.uk/oucl/work/corina.cirstea/thesis.html
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