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lib/resource/doc/gfdoc/Predication.html
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
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<HTML>
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<HEAD>
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<META NAME="generator" CONTENT="http://txt2tags.sf.net">
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<TITLE> A Small Predication Library</TITLE>
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</HEAD><BODY BGCOLOR="white" TEXT="black">
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<P ALIGN="center"><CENTER><H1> A Small Predication Library</H1>
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<FONT SIZE="4">
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<I>Last update: 2006-02-28 09:26:58 CET</I><BR>
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</FONT></CENTER>
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<P></P>
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<HR NOSHADE SIZE=1>
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<P></P>
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<UL>
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<LI><A HREF="#toc1">The category of atomic sentences</A>
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<LI><A HREF="#toc2">Predication patterns.</A>
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<LI><A HREF="#toc3">Imperatives and infinitives.</A>
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<LI><A HREF="#toc4">Individual-valued function applications</A>
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<LI><A HREF="#toc5">Families of types</A>
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<LI><A HREF="#toc6">Type constructor</A>
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</UL>
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<P></P>
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<HR NOSHADE SIZE=1>
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<P></P>
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<P>
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Produced by
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gfdoc - a rudimentary GF document generator.
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(c) Aarne Ranta (<A HREF="mailto:aarne@cs.chalmers.se">aarne@cs.chalmers.se</A>) 2002 under GNU GPL.
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</P>
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<P>
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(c) Aarne Ranta 2003-2006 under Gnu GPL.
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</P>
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<P>
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This library is a derived library built on the language-independent Ground
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API of resource grammars.
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</P>
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<PRE>
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abstract Predication = Cat ** {
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</PRE>
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<P></P>
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<A NAME="toc1"></A>
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<H2>The category of atomic sentences</H2>
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<P>
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We want to use sentences in positive and negative forms but do not care about
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tenses.
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</P>
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<PRE>
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fun
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PosCl : Cl -> S ; -- positive sentence: "x intersects y"
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NegCl : Cl -> S ; -- negative sentence: "x doesn't intersect y"
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</PRE>
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<P></P>
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<A NAME="toc2"></A>
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<H2>Predication patterns.</H2>
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<PRE>
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predV : V -> NP -> Cl ; -- one-place verb: "x converges"
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predV2 : V2 -> NP -> NP -> Cl ; -- two-place verb: "x intersects y"
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predV3 : V3 -> NP->NP-> NP -> Cl; -- three-place verb: "x intersects y at z"
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predVColl : V -> NP -> NP -> Cl ; -- collective verb: "x and y intersect"
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predA : A -> NP -> Cl ; -- one-place adjective: "x is even"
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predA2 : A2 -> NP -> NP -> Cl ; -- two-place adj: "x is divisible by y"
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predAComp : A -> NP -> NP -> Cl; -- comparative adj: "x is greater than y"
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predAColl : A -> NP -> NP -> Cl ; -- collective adj: "x and y are parallel"
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predN : N -> NP -> Cl ; -- one-place noun: "x is a point"
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predN2 : N2 -> NP -> NP -> Cl ; -- two-place noun: "x is a divisor of y"
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predNColl : N -> NP -> NP -> Cl ; -- collective noun: "x and y are duals"
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predAdv : Adv -> NP -> Cl ; -- adverb: "x is inside"
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predPrep : Prep -> NP -> NP -> Cl ; -- preposition: "x is outside y"
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</PRE>
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<P></P>
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<A NAME="toc3"></A>
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<H2>Imperatives and infinitives.</H2>
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<PRE>
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impV2 : V2 -> NP -> Phr ; -- imperative: "solve the equation E"
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infV2 : V2 -> NP -> Phr ; -- infinitive: "to solve the equation E"
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</PRE>
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<P></P>
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<A NAME="toc4"></A>
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<H2>Individual-valued function applications</H2>
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<PRE>
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appN2 : N2 -> NP -> NP ; -- one-place function: "the successor of x"
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appN3 : N3 -> NP -> NP -> NP ; -- two-place function: "the distance from x to y"
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appColl : N2 -> NP -> NP -> NP ; -- collective function: "the sum of x and y"
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</PRE>
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<P></P>
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<A NAME="toc5"></A>
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<H2>Families of types</H2>
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<P>
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These are expressed by relational nouns applied to arguments.
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</P>
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<PRE>
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famN2 : N2 -> NP -> CN ; -- one-place family: "divisor of x"
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famN3 : N3 -> NP -> NP -> CN ; -- two-place family: "path from x to y"
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famColl : N2 -> NP -> NP -> CN ; -- collective family: "path between x and y"
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</PRE>
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<P></P>
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<A NAME="toc6"></A>
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<H2>Type constructor</H2>
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<P>
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This is similar to a family except that the argument is a type.
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</P>
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<PRE>
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typN2 : N2 -> CN -> CN ; -- constructed type: "list of integers"
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}
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</PRE>
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<P></P>
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<!-- html code generated by txt2tags 2.3 (http://txt2tags.sf.net) -->
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<!-- cmdline: txt2tags -thtml -\-toc mathematical/Predication.txt -->
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</BODY></HTML>
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