Complementing Logic Program Semantics

By: R. Giacobazzi and F. Ranzato

Roberto Giacobazzi
Dip. di Informatica
Univ. di Pisa
Corso Italia 40, 56125 Pisa (Italy)
giaco@di.unipi.it

Abstract:

We consider abstract interpretation, and in particular the basic operators of reduced product and complementation (see here) of abstract domains, as a tool to systematically derive denotational semantics by composition and decomposition. Reduced product allows to perform the logical conjunction of semantics, while complementation characterizes what is left from a semantics when the information concerning a given observable property is ``subtracted'' from it. We apply this idea to the case of logic programming, characterizing in a uniform algebraic setting, the interaction between a number of well known declarative semantics for logic programs.

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giaco@sci.univr.it