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

RAIRO - Theoretical Informatics and Applications (2010)

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

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topCîrstea, 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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