Article View: net.database
Article #280Re: Problem with relational theory
From: Arthur M. Keller
Date: Fri, 12 Sep 1986 00:10
Date: Fri, 12 Sep 1986 00:10
33 lines
1975 bytes
1975 bytes
Query:
retrieve t1 where t1.name = t2.name or t1.name = t3.name
In article <316@unc.unc.UUCP> rts@unc.UUCP (Rick Snodgrass) writes:
>One must be careful in deciding what the meaning of a statement in
>any language is. The best way is to go back to the formal semantics
>of the language. In his book, Ullman gives the semantics for Quel
>(Section 6.4). For this query, it is
> {u | (Exists t1)(Exists t2)(Exists t3)
> (R(t1) and R(t2) and R(t3) and u = t1
> and (t1[name] = t2[name] or t1[name] = t3[name])
> ) }
>This semantics, which supports Hoffman's reply, is independent of
>the relational algebra.
>
>Rick Snodgrass
>Department of Computer Science, University of North Carolina at Chapel Hill
The problem is where the quantifiers go. Consider:
{u | (Exists t1)(R(t1) and u = t1 and
[(Exists t2) (S(t2) and t1[name]=t2[name]) or
(Exists t3) (T(t3) and t1[name]=t3[name])])}
This query has ordinary union semantics, even if either S or T is
empty. It is not clear that when given a quantifier-free expression
that quantifiers should always be introduced at the beginning.
Arthur
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Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: arc1-ca.pugleaf.net!utzoo!watmath!clyde!cbatt!ihnp4!qantel!lll-lcc!lll-crg!seismo!ut-sally!ark From: ark@ut-sally.UUCP (Arthur M. Keller) Newsgroups: net.database Subject: Re: Problem with relational theory Message-ID: <5717@ut-sally.UUCP> Date: Thu, 11-Sep-86 20:10:37 EDT Article-I.D.: ut-sally.5717 Posted: Thu Sep 11 20:10:37 1986 Date-Received: Sat, 13-Sep-86 05:54:51 EDT References: <595@ur-tut.UUCP> <452@hdsvx1.UUCP> <819@navajo.STANFORD.EDU> <316@unc.unc.UUCP> Reply-To: ark@sally.UUCP (Arthur M. Keller) Organization: U. Texas CS Dept., Austin, Texas Lines: 33 Summary: watch where your quantifiers go