Path: utzoo!attcan!uunet!lll-winken!lll-tis!ames!mailrus!husc6!linus!philabs!hen3ry!dpb From: dpb@hen3ry.Philips.Com (Paul Benjamin) Newsgroups: comp.ai Subject: Re: Category Theory in AI Message-ID: <33831@philabs.Philips.Com> Date: 22 Aug 88 15:35:13 GMT References: <32864@philabs.Philips.Com> <2361@atr-la.atr.junet> <1572@crete.cs.glasgow.ac.uk> Sender: news@philabs.Philips.Com Reply-To: dpb@hen3ry.UUCP (Paul Benjamin) Organization: Philips Laboratories, Briarcliff Manor, NY Lines: 14 In article <1572@crete.cs.glasgow.ac.uk> jack@cs.glasgow.ac.uk (Jack Campin) writes: >I can't imagine what category theory has to contribute to knowledge >representation (though I can just about imagine it helping to describe >neural nets in a more abstract way). Can the philabs people say more >about what they're up to? Well, not really, in a public forum. But Mike Lowry of the Kestrel Institute has pointed out that a representation can be viewed as a category, and a shift of representation as a morphism. The question of whether this insight is very productive is open, but at least it gives us a formal notion of representation, and we've built on this some formal notions of abstraction and learning. We'll let you know if this turns out to be fruitful. Paul Benjamin