Coalgebras for endofunctors can be used to model classes of object-oriented languages. However, binary methods do not fit directly into this approach. This paper proposes an extension of the coalgebraic framework, namely the use of extended polynomial functors . This extension allows the incorporation of binary methods into coalgebraic class specifications. The paper also discusses how to define bisimulation and invariants for coalgebras of extended polynomial functors and proves many standard results.
Mots-clés : binary method, coalgebra, bisimulation, invariant, object-orientation
@article{ITA_2001__35_1_83_0,
author = {Tews, Hendrik},
title = {Coalgebras for binary methods : properties of bisimulations and invariants},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {83--111},
publisher = {EDP-Sciences},
volume = {35},
number = {1},
year = {2001},
mrnumber = {1845876},
zbl = {0983.68126},
language = {en},
url = {http://www.numdam.org/item/ITA_2001__35_1_83_0/}
}
TY - JOUR AU - Tews, Hendrik TI - Coalgebras for binary methods : properties of bisimulations and invariants JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2001 SP - 83 EP - 111 VL - 35 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/item/ITA_2001__35_1_83_0/ LA - en ID - ITA_2001__35_1_83_0 ER -
%0 Journal Article %A Tews, Hendrik %T Coalgebras for binary methods : properties of bisimulations and invariants %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2001 %P 83-111 %V 35 %N 1 %I EDP-Sciences %U http://www.numdam.org/item/ITA_2001__35_1_83_0/ %G en %F ITA_2001__35_1_83_0
Tews, Hendrik. Coalgebras for binary methods : properties of bisimulations and invariants. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 1, pp. 83-111. http://www.numdam.org/item/ITA_2001__35_1_83_0/
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