From: Stephen Bloom <bloom@guinness.cs.stevens-tech.edu>
To: categories@mta.ca
Subject: iteration vs. recursion
Date: Thu, 7 Jun 2001 10:55:55 -0400 (EDT) [thread overview]
Message-ID: <20010607145555.9BC27699AD@timmermans.cs.stevens-tech.edu> (raw)
Both iteration and recursion are operations
yielding fixed points. They have the same
equational properties in standard models.
See the following articles:
S. Bloom and Z. Esik,``Fixed point operations in ccc's'', Theoretical
Computer Science,
155:1996, 1--38,
S. Bloom and Z. Esik,``The equational logic of fixed points'' ,
Theoretical Computer Science, 179(1997), 1--60,
and
Z. Esik and A. Labella:
Equational properties of iteration in
algebraically complete categories.
Mathematical foundations of computer
science (Cracow, 1996).
Theoret. Comput. Sci. 195 (1998), no. 1, 61--89.
and the book:
Iteration Theories: The Equational Logic of Iterative Processes,
EATCS Monograph Series on Theoretical Computer Science,
Springer-Verlag, 1993
ISBN 0-387-56378-4, by Bloom and Esik.
next reply other threads:[~2001-06-07 14:55 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2001-06-07 14:55 Stephen Bloom [this message]
2001-06-08 15:07 HASEGAWA Masahito
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