Constructive Category Theory
Is there a "tradition" in constructive development of category theory? If so, what is a good reference? best regards, steve -------- D. E. Stevenson, Department of Computer Science Director, Institute for Modeling and Simulation Applications Clemson University, Clemson, SC 29634-0974 864.656.5880 http://www.cs.clemson.edu/~steve
On Friday 13 February 2004 15:30, Steve Stevenson wrote:
Is there a "tradition" in constructive development of category theory? If so, what is a good reference?
I am not aware of a "tradition", but I know two references. In the book A course in constructive algebra (Mines, Richman, Ruitenburg) there is a very short outline of category theory. There is a machine checked formalization inside constructive type theory by Huet and Saibi. http://citeseer.nj.nec.com/huet98constructive.html The impression I got from both approaches is that basic constructive category theory is fairly similar to its its classical counter part, which might explain the apparent lack of tradition. I hope this is of any use. Bas ------------------------------------------------------- Department of Computer Science, University of Nijmegen. P.O.box 9010, NL-6500 GL Nijmegen, The Netherlands. e-mail: spitters@cs.kun.nl Phone: +31-24-3652631. Fax: +31-24-3652525 Room: A5024 http://www.cs.kun.nl/~spitters/
Is there a "tradition" in constructive development of category theory? If so, what is a good reference?
Not sure if this is what you're looking for, but there's a very nice paper, "Category theory as coherently constructive lattice theory", by Roland Backhouse et al: http://www.cs.nott.ac.uk/~rcb/papers/abstract.html#CatTheory Jeremy -- Jeremy.Gibbons@comlab.ox.ac.uk Oxford University Computing Laboratory, TEL: +44 1865 283508 Wolfson Building, Parks Road, FAX: +44 1865 273839 Oxford OX1 3QD, UK. URL: http://www.comlab.ox.ac.uk/oucl/people/jeremy.gibbons.html
participants (3)
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Bas Spitters -
Jeremy Gibbons -
Steve Stevenson