(Enter summary)
Abstract: Stephen L. Bloom and Zoltan
Esik
#
1
Stevens Institute of Technology
Department of Computer Science
Hoboken, NJ 07030
bloom@cs.stevens-tech.edu
2
A. Jozsef University
Department of Computer Science
Szeged, Hungary
esik@inf.u-szeged.hu
Abstract. Algebras whose underlying set is a complete partial order and whose termoperations
are continuous may be equipped with a least fixed point operation x.t.
The set of all equations involving the -operation which hold in all continuous
... (Update)
Context of citations to this paper: More
.... is known that in the presence of cycles, a finite number of axioms cannot capture interesting notions of equivalence (see e.g. Sew94,BE00] This implies that traditional rewriting cannot produce normal forms of interesting cyclic structures (note, though, that there is a...
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BibTeX entry: (Update)
Stephen L. Bloom and Zoltan Esik. Iteration algebras are not finitely axiomatizable. In Latin American Theoretical INformatics (Theory), pages 367--376, 2000. http://citeseer.ist.psu.edu/bloom00iteration.html More
@inproceedings{ bloom00iteration,
author = "Stephen L. Bloom and Zoltan Esik",
title = "Iteration Algebras Are Not Finitely Axiomatizable. Extended Abstract",
booktitle = "Latin American Theoretical {INformatics}",
number = "Theory",
pages = "367-376",
year = "2000",
url = "citeseer.ist.psu.edu/bloom00iteration.html" }
Citations (may not include all citations):
162
Data types as lattices (context) - Scott - 1976
112
Initial algebra semantics and continuous algebras (context) - Goguen, Thatcher et al. - 1977
18
Iteration Theories: The Equational Logic of Iterative Proces.. (context) - Bloom, Esik - 1993
13
Theoretical Computer Science (context) - Krob, of - 1991
11
Mathematical Structures in Computer Science (context) - Bloom, Esik et al. - 1993
11
An algebraic theory for regular languages of finite and infi.. (context) - Wilke - 1993
9
Theoretical Computer Science (context) - Tiuryn, points et al. - 1980
9
Lecture Notes in Computer Science (context) - Guessarian - 1981
9
Independence of the equational axioms of iteration theories (context) - Esik - 1988
5
Information and Computation (context) - Esik, for - 1999
5
Theoretical Informatics and Applications (context) - Bloom, Esik et al. - 1998
4
Hyperidentities and hypervarieties (context) - Taylor - 1981
4
Semigroups and automata on infinite words
- Perrin, Pin - 1995
4
Fixed points and algebras with infinitely long expressions (context) - Tiuryn - 1978
3
Iteration theories of synchronization trees (context) - Bloom, Esik et al. - 1993
2
Theoretical Computer Science (context) - Nelson - 1983
1
International Journal of Foundations of Computer Science (context) - Bloom, Esik
1
An Eilenberg Theorem for #-languages (context) - Wilke - 1991
1
Equational mu-calculus (context) - Niwinski
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