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Connecting many-sorted theories

Published online by Cambridge University Press:  12 March 2014

Franz Baader  and
Silvio Ghilardi
Franz Baader
Affiliation:
Institut für Theoretische Informatik, Tu Dresden, Germany, E-mail: [email protected]
Silvio Ghilardi
Affiliation:
Dipartimento di Scienze Dell’Informazione, Università Degli Studi di Milano, Italy, E-mail: [email protected]
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Abstract

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. Our results can be seen as a generalization of the so-called -connection approach for combining modal logics to an algebraic setting.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 2 , June 2007 , pp. 535 - 583
Copyright
Copyright © Association for Symbolic Logic 2007

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References

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