Computational Aspects of an Order-Sorted Logic with Term Declarations - ISBN:3540517057

Computational Aspects of an Order-Sorted Logic with Term Declarations

Date: 15 April 2011, 09:02

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Preface
In this volume the logical foundations and the computational aspects of a rather general
order-sorted logic are investigated. This sorted logic extends first order logic by a partially
ordered set of sorts, such that every term is of a particular sort or type and such that only
well-sorted substitutions are permitted.
Several sorted unification algorithms are described which work for different signatures
with or without equational theories. The type and the complexity of sorted unification is
determined for different types of signatures. The type can range from unary to infinitary and
the time complexity ranges from linear up to undecidable, even without defining equations.
Different sorted resolution-based calculi for clause sets with and without equations are
described and their refutation-completeness is investigated.

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