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Published in:
2005 | OriginalPaper | Chapter
Connecting Many-Sorted Theories
Authors : Franz Baader, Silvio Ghilardi
Published in: Automated Deduction – CADE-20
Publisher: Springer Berlin Heidelberg
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Basically, the connection of two many-sorted theories is obtained by taking their disjoint union, and then connecting the two parts through connection functions that must behave like homomorphisms on the shared signature. We determine conditions under which decidability of the validity of universal formulae in the component theories transfers to their connection. In addition, we consider variants of the basic connection scheme.