Path: utzoo!utgpu!watserv1!watmath!att!att!linac!pacific.mps.ohio-state.edu!zaphod.mps.ohio-state.edu!sdd.hp.com!elroy.jpl.nasa.gov!ncar!noao!arizona!gudeman From: gudeman@cs.arizona.edu (David Gudeman) Newsgroups: comp.lang.misc Subject: Re: REFs or aliases? Message-ID: <27113@megaron.cs.arizona.edu> Date: 2 Nov 90 19:39:39 GMT Organization: U of Arizona CS Dept, Tucson Lines: 19 In article <1990Nov1.204843.18771@newcastle.ac.uk> Chris.Holt@newcastle.ac.uk (Chris Holt) writes: ] ]Given an arbitrary domain, e.g. sets of integers, it is always ]possible to introduce a monadic operation f that extends that ]domain... ] ]The question is, why bother?... That question can't be answered in the general form you presented, because the answer depends on the specific domain and the specific function that is being introduced. E.g.: Why bother introducing the negation operator into the set of counting numbers? Answer, it gives you solutions to equations of the form "a + i = 0" where "a > 0" is some constant and "i" is a variable. -- David Gudeman Department of Computer Science The University of Arizona gudeman@cs.arizona.edu Tucson, AZ 85721 noao!arizona!gudeman