On abstract data types presented by multiequations

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Authors	ADÁMEK J. HÉBERT M. ROSICKÝ J.
Year of publication	2002
Type	Article in Periodical
Magazine / Source	Theoretical Computer Science
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	abstract data type; multiequation
Description	Equational presentation of abstract data types is generalized to presentation by multiequations, i.e., exclusive-or's of equations, in order to capture parametric data types such as array or set. Multiinitial-algebra sematics for such data types is introduced. Classes of algebras described by multiequations are characterized.
Related projects:	Categorical methods of the theory of structures and computer Mathematical structures of algebra and geometry