Publikation

An Institutional View on Categorical Logic

Joseph Goguen; Till Mossakowski; Valeria De Paiva; Florian Rabe; Lutz Schröder

In: International Journal of Software and Informatics (IJSI), Vol. 1, No. 1, Pages 129-152, 2007.

Zusammenfassung

We introduce a generic notion of propositional categorical logic and provide a construction of an institution with proofs out of such a logic, following the Curry-Howard-Tait paradigm. We then prove logic-independent soundness and completeness theorems. The framework is instantiated with a number of examples: classical, intuitionistic, linear and modal propositional logics. Finally, we speculate how this framework may be extended beyond the propositional case.

Weitere Links

Deutsches Forschungszentrum für Künstliche Intelligenz
German Research Center for Artificial Intelligence