Connecting Many-Sorted Structures and Theories through Adjoint Functions

Franz BaaderFranz Baader, S. GhilardiS. Ghilardi

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Franz Baader, S. Ghilardi
Connecting Many-Sorted Structures and Theories through Adjoint Functions
Proceedings of the 5th International Workshop on Frontiers of Combining Systems (FroCoS'05), volume 3717 of Lecture Notes in Artificial Intelligence, 2005. Springer

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KurzfassungAbstract
In a previous paper, we have introduced a general approach for connecting two many-sorted theories through connection functions that behave like homomorphisms on the shared signature, and have shown that, under appropriate algebraic conditions, decidability of the validity of universal formulae in the component theories transfers to their connection. This work generalizes decidability transfer results for so-called E-connections of modal logics. However, in this general algebraic setting, only the most basic type of E-connections could be handled. In the present paper, we overcome this restriction by looking at pairs of connection functions that are adjoint pairs for partial orders defined in the component theories.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

The final publication is available at Springer.

@inproceedings{ BaaderGhilardiFroCoS05,
  address = {Vienna (Austria)},
  author = {F. {Baader} and S. {Ghilardi}},
  booktitle = {Proceedings of the 5th International Workshop on Frontiers of Combining Systems (FroCoS'05)},
  publisher = {Springer-Verlag},
  series = {Lecture Notes in Artificial Intelligence},
  title = {Connecting Many-Sorted Structures and Theories through Adjoint Functions},
  volume = {3717},
  year = {2005},
}