Assignment: Difference between revisions
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[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma= | [http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Assignment&lemmacode=1045 Utrecht Lexicon of Linguistics] | ||
===References=== | ===References=== | ||
Latest revision as of 14:55, 15 February 2008
Assignment refers to the function which assigns a reference to a variable. The truth-value of quantified formulas is determined with respect to a given assignment.
Example
In order to determine whether All(v)[P] is true with respect to an assignment g we have to check whether P is true for every assignment g* differing at most from g in the value it assigns to v. Exists(v)[P] is true with respect to an assignment g when P is true for at least one assignment g* which may only differ from g in the value it assigns to v.
Comment
The use of assignments to variables makes it possible to interpret multiply quantified formulas in a compositional way.
Link
Utrecht Lexicon of Linguistics
References
Gamut, L.T.F. 1991. Logic, language, and meaning. Chicago: Univ. of Chicago Press.