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Universal Coalgebra: a Theory of Systems (1996)  (Make Corrections)  (186 citations)
J.J.M.M. Rutten
Theoretical Computer Science



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Abstract: In the semantics of programming, finite data types such as finite lists, have traditionally been modelled by initial algebras. Later final coalgebras were used in order to deal with infinite data types. Coalgebras, which are the dual of algebras, turned out to be suited, moreover, as models for certain types of automata and more generally, for (transition and dynamical) systems. An important property of initial algebras is that they satisfy the familiar principle of induction. Such a... (Update)

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BibTeX entry:   (Update)

J. Rutten. Universal coalgebra: a theory of systems. Theor. Comp. Sci., 1999. To appear. http://citeseer.ist.psu.edu/rutten96universal.html   More

@article{ rutten00universal,
    author = "J. J. M. M. Rutten",
    title = "Universal coalgebra: a theory of systems",
    journal = "Theoretical Computer Science",
    volume = "249",
    number = "1",
    pages = "3--80",
    year = "2000",
    url = "citeseer.ist.psu.edu/rutten96universal.html" }
Citations (may not include all citations):
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502   Concurrency and automata on infinite sequences (context) - Park - 1981
322   volume 92 of Lecture Notes in Computer Science (context) - Milner, of et al. - 1980
247   Bisimulation through probabilistic testing (context) - Larsen, Skou - 1991
182   Structured operational semantics and bisimulation as a congr.. (context) - Groote, Vaandrager - 1992
176   An introduction to chaotic dynamical systems (context) - Devaney - 1986
150   The category-theoretic solution of recursive domain equation.. (context) - Smyth, Plotkin - 1982
144   Models for concurrency - Winskel, Nielsen - 1995
121   An approach to object semantics based on terminal coalgebras (context) - Reichel - 1995
102   Formal verification of parallel programs (context) - Keller - 1976
99   volume 5 of Graduate Texts in Mathematics (context) - Lane, the et al. - 1971
91   A final coalgebra theorem (context) - Aczel, Mendler - 1989
84   A domain equation for bisimulation (context) - Abramsky - 1991
77   Full abstraction for a simple parallel programming language (context) - Hennessy, Plotkin - 1979
72   Objects and classes (context) - Jacobs - 1996
69   Relational properties of domains - Pitts - 1996
69   Information and Computation (context) - Joyal, Nielsen et al. - 1996
67   Terminal coalgebras in well-founded set theory (context) - Barr - 1993
67   terminal coalgebras in well-founded set theory (context) - Barr, corrections - 1994
52   Center for the Study of Language and Information (context) - Goldblatt, time et al. - 1987
52   Center for the Study of Language and Information (context) - Goldblatt, modality et al. - 1993
52   Algebraic approaches to program semantics (context) - Manes, Arbib - 1986
49   A co-induction principle for recursively defined domains - Pitts - 1994
45   Universal algebra (context) - Meinke, Tucker - 1992
42   EATCS Monographs on Theoretical Computer Science (context) - Schmidt, Strohlein et al. - 1993
41   Center for the Study of Languages and Information (context) - Aczel, Number et al. - 1988
41   Information and Computation (context) - van Glabbeek, Smolka et al. - 1995
40   Solving reflexive domain equations in a category of complete.. (context) - America, Rutten - 1989
37   Mongruences and cofree coalgebras - Jacobs - 1995
37   A coinduction principle for recursive data types based on bi.. - Fiore - 1996
33   Algebraic specification of data types: A synthetic approach (context) - Lehmann, Smyth - 1981
31   Structural induction and coinduction in a fibrational settin.. - Hermida, Jacobs - 1996
30   Inheritance and cofree constructions - Jacobs - 1996
30   Functorial operational semantics and its denotational dual (context) - Turi - 1996
27   Center for the Study of Language and Information (context) - Barwise, Moss et al. - 1996
26   volume 26 of Graduate Texts in Mathematics (context) - Manes - 1976
24   Processes: a mathematical model of computing agents (context) - Milner - 1975
22   Processes as terms: Non-well-founded models for bisimulation (context) - Rutten - 1992
20   towards universal coalgebra (context) - Rutten, of et al. - 1995
18   Final semantics for a higher-order concurrent language - Lenisa - 1996
18   Final universes of processes - Aczel - 1994
17   Foundations of Computing Series (context) - de Bakker, de Vink et al. - 1996
16   Reidel Publishing Company (context) - Cohn, volume et al. - 1981
16   The metric closure powerspace construction (context) - Kent - 1988
16   Handbook of categorical algebra 1: basic category theory (context) - Borceux - 1994
14   Parametrized data types do not need highly constrained param.. (context) - Arbib, Manes - 1982
14   Processes and hyperuniverses - Forti, Honsell et al. - 1994
14   the foundations of final coalgebra semantics: nonwell -found.. - Turi, Rutten - 1997
13   Final semantics for untyped -calculus (context) - Honsell, Lenisa - 1995
5   Behaviour-refinement of object-oriented specifications with .. (context) - Jacobs - 1996
3   A small final coalgebra theorem - Kawahara, Mori - 1996
2   Journal of Pure and Applied Algebra (context) - Arbib, Manes et al. - 1980
1   Universit'e de Marne-la-Vall'ee (context) - B'eal, Perrin et al. - 1996



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