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.
Equational properties of iteration in algebraically complete categories / Z., Esik; Labella, Anna. - STAMPA. - 1113:(1996), pp. 336-347. (Intervento presentato al convegno Mathematical foundations of computer science tenutosi a Cracow (Polonia) nel 1996) [10.1007/3-540-61550-4_160].
Equational properties of iteration in algebraically complete categories
LABELLA, Anna
1996
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
