From: Tobias Nipkow <nipkow@in.tum.de>
Axiom Systems for Category Theory in Free Logic
Christoph Benzmüller and Dana Scott
This document provides a concise overview on the core results of our previous
work on the exploration of axioms systems for category theory. Extending the
previous studies (http://arxiv.org/abs/1609.01493) we include one further
axiomatic theory in our experiments. This additional theory has been suggested
by Mac Lane in 1948. We show that the axioms proposed by Mac Lane are equivalent
to the ones we studied before, which includes an axioms set suggested by Scott
in the 1970s and another axioms set proposed by Freyd and Scedrov in 1990, which
we slightly modified to remedy a minor technical issue.
https://www.isa-afp.org/entries/AxiomaticCategoryTheory.html
Enjoy!
smime.p7s
Last updated: Nov 21 2024 at 12:39 UTC