Automating Proofs in Category Theory

Dexter Kozen, Christoph Kreitz, Eva Richter.

International Conference IJCAR 2006, LNAI 4130, pp. 392-407, Springer Verlag, 2006.


We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of categories, functors and natural transformations as well as a small set of proof tactics that automate proof search in this calculus. We demonstrate our approach by automating the proof that the functor categories Fun[CxD,E] and Fun[C,Fun[D,E]] are naturally isomorphic.

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Bibtex Entry

@InProceedings{inp:KozenKreitzRichter06a, author = "Dexter Kozen and Christoph Kreitz and Eva Richter", title = "Automating Proofs in Category Theory", booktitle = "IJCAR 2006", year = "2006", editor = "U. Furbach and N. Shankar", volume = "4130", series = "Lecture Notes in Artificial Intelligence", pages = "392--407", publisher = "Springer Verlag" }