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Journal of Logic and Computation 1994 4(1):89-96; doi:10.1093/logcom/4.1.89
© 1994 by Oxford University Press
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Original Articles

Circumscription in Data Logic for Data Type Specification

LEOPOLDO E. BERTOSSI

Pontifica Universidad Catolica de Chile, Escuela de Ingenieria, Departamento de Ciencia de la Computacion Casilla 306, Santiago 22, Chile.E-mail: bertossi{at}ing.puc.cl

In this paper we present a logical specification of data types. This specification is built upon a previously given specification for a data type that we want to extend by introducing new constructing objects and defined operations. The extended data type is specified by superposing a circumscription principle to some specification axioms. Circumscription formalizes in second-order logic some forms of (non-monotonic) common-sense reasoning in knowledge bases. By means of circumscription we separate very clearly the first-order specification language (or axioms) from the specification mechanism. By showing the logical equivalence to Zhang's non-circumscriptive data type specification, we obtain the categoricity of our specification when we start from a categorical specification for the original data type.

Keywords: Data type specification; circumscription; first-order logic; second-order logic; knowledge bases; nonmonotonic reasoning


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