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Fixed Points as Equations and Solutions

Published online by Cambridge University Press:  20 November 2018

Jiří Adámek  and
Wolfgang Merzenich
Jiří Adámek
Affiliation:
Technical University Prague, Praha, Czechoslovakia
Wolfgang Merzenich
Affiliation:
Universität Dortmund, Dortmund, Germany
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In the literature about the definition of data types there exist many approaches using some concept of fixed point. Wand [13] and Lehmann, Smyth [9] e.g. constructed data types as least fixed points of functors F:K → K. Arbib and Manes [3] showed that some data types turn out to be the greatest fixed points of such endofunctors. In this paper we regard least and greatest fixed points that have a given property.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 36 , Issue 3 , 01 June 1984 , pp. 495 - 519
Copyright
Copyright © Canadian Mathematical Society 1984

References

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