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Erschienen in:
2005 | OriginalPaper | Buchkapitel
A Comprehensive Framework for Combined Decision Procedures
verfasst von : Silvio Ghilardi, Enrica Nicolini, Daniele Zucchelli
Erschienen in: Frontiers of Combining Systems
Verlag: Springer Berlin Heidelberg
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We define a general notion of a fragment within higher order type theory; a procedure for constraint satisfiability in combined fragments is outlined, following Nelson-Oppen schema. The procedure is in general only sound, but it becomes terminating and complete when the shared fragment enjoys suitable noetherianity conditions and allows an abstract version of a ‘Keisler-Shelah like’ isomorphism theorem. We show that this general decidability transfer result covers as special cases, besides applications which seem to be new, the recent extension of Nelson-Oppen procedure to non-disjoint signatures [16] and the fusion transfer of decidability of consistency of A-Boxes with respect to T-Boxes axioms in local abstract description systems [9]; in addition, it reduces decidability of modal and temporal monodic fragments [32] to their extensional and one-variable components.