Unification of uninterpreted sorted terms
In this part the properties of unification of uninterpreted order-sorted terms are investigated and rule-based unification algorithms are presented. We show that for elementary, regular signatures Σ-unification is decidable and finitary. In the general case when we have signatures with term declarations, unification is undecidable and infinitary. We also determine the unification behaviour under certain restrictions such as linearity.
Throughout this part we assume that the given signature Σ is finite.
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