# Coalgebras for Binary Methods: Properties of Bisimulations and Invariants

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 35, Issue: 1, page 83-111
- ISSN: 0988-3754

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topTews, Hendrik. "Coalgebras for Binary Methods: Properties of Bisimulations and Invariants." RAIRO - Theoretical Informatics and Applications 35.1 (2010): 83-111. <http://eudml.org/doc/222043>.

@article{Tews2010,

abstract = {
Coalgebras for endofunctors $\{\mathcal C\}\rightarrow\{\mathcal
C\}$ 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$\{\mathcal C\}^\{op\} \times \{\mathcal
C\}\rightarrow\{\mathcal C\}$. 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.
},

author = {Tews, Hendrik},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Binary method; coalgebra; bisimulation; invariant;
object-orientation.; coalgebras for endofunctors; object-oriented languages},

language = {eng},

month = {3},

number = {1},

pages = {83-111},

publisher = {EDP Sciences},

title = {Coalgebras for Binary Methods: Properties of Bisimulations and Invariants},

url = {http://eudml.org/doc/222043},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Tews, Hendrik

TI - Coalgebras for Binary Methods: Properties of Bisimulations and Invariants

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 35

IS - 1

SP - 83

EP - 111

AB -
Coalgebras for endofunctors ${\mathcal C}\rightarrow{\mathcal
C}$ 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${\mathcal C}^{op} \times {\mathcal
C}\rightarrow{\mathcal C}$. 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.

LA - eng

KW - Binary method; coalgebra; bisimulation; invariant;
object-orientation.; coalgebras for endofunctors; object-oriented languages

UR - http://eudml.org/doc/222043

ER -

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