Xref: utzoo comp.ai:8918 comp.theory:1759 Path: utzoo!utgpu!news-server.csri.toronto.edu!rpi!zaphod.mps.ohio-state.edu!uakari.primate.wisc.edu!relay.nswc.navy.mil!oasys!mimsy!mojo!eng.umd.edu!lev From: lev@eng.umd.edu (Lev Novik) Newsgroups: comp.ai,comp.theory Subject: Logical question Message-ID: <1991Apr3.153544.6585@eng.umd.edu> Date: 3 Apr 91 15:35:44 GMT Sender: news@eng.umd.edu (C-News) Reply-To: lev@eng.umd.edu (Lev Novik) Organization: University of Maryland, College Park Lines: 22 I have a problem, for which I assume there's a classical solution, but so far I wasn't able to find one. ##PROBLEM## Suppose we have a set of elements, and a set of formulas for those elements. Formula is a pair : (subset, element), which means that given all elements in THE SUBSET, we can find THE ELEMENT. Find A smallest subset of elements, so that everything else may be derived from it using the given formulas. (Note, that we need A SMALLEST set, not a set that cannot be reduced). ########### I would appreciate any algorithm or reference to one. Thanks in advance __________________________________________________________________________ | Lev Novik \/ phone : (301) 345-2464 | | University of Maryland /\ e-mail: lev@cs.umd.edu | | College Park \/ | --------------------------------------------------------------------------