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math API; lock field warnings
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lib/resource-1.0/mathematical/Predication.gf
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lib/resource-1.0/mathematical/Predication.gf
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--1 A Small Predication Library
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--
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-- (c) Aarne Ranta 2003-2006 under Gnu GPL.
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--
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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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abstract Predication = Cat ** {
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--2 The category of atomic sentences
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-- These sentences have both a positive and a negative form
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cat
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AS ;
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fun
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PosAS : AS -> S ;
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NegAS : AS -> S ;
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--2 Predication patterns.
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predV : V -> NP -> AS ; -- one-place verb: "x converges"
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predV2 : V2 -> NP -> NP -> AS ; -- two-place verb: "x intersects y"
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predV3 : V3 -> NP->NP-> NP -> AS; -- three-place verb: "x intersects y at z"
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predVColl : V -> NP -> NP -> AS ; -- collective verb: "x and y intersect"
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predA : A -> NP -> AS ; -- one-place adjective: "x is even"
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predA2 : A2 -> NP -> NP -> AS ; -- two-place adj: "x is divisible by y"
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predAComp : A -> NP -> NP -> AS; -- comparative adj: "x is greater than y"
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predAColl : A -> NP -> NP -> AS ; -- collective adj: "x and y are parallel"
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predN : N -> NP -> AS ; -- one-place noun: "x is a point"
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predN2 : N2 -> NP -> NP -> AS ; -- two-place noun: "x is a divisor of y"
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predNColl : N -> NP -> NP -> AS ; -- collective noun: "x and y are duals"
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predAdv : Adv -> NP -> AS ; -- adverb: "x is inside"
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predPrep : Prep -> NP -> NP -> AS ; -- preposition: "x is outside y"
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--2 Individual-valued function applications
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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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--2 Families of types
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-- These are expressed by relational nouns applied to arguments.
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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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--2 Type constructor
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-- This is similar to a family except that the argument is a type.
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typN2 : N2 -> CN -> CN ; -- constructed type: "list of integers"
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}
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