Abstract
The main result is the following completeness theorem: If the fixed point operation over a category is defined by initiality, then the equations satisfied by the fixed point operation are exactly those of iteration theories. Thus, in such categories, the equational axioms of iteration theories provide a sound and complete axiomatization of the equational properties of the fixed point operation.
Cite
CITATION STYLE
Ésik, Z., & Labella, A. (1996). Equational properties of iteration in algebraically complete categories. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1113, pp. 336–347). Springer Verlag. https://doi.org/10.1007/3-540-61550-4_160
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