firstorder logic
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 US Pronunciation
 US IPA

Definitions of firstorder logic words
 noun Technical meaning of firstorder logic (language, logic) The language describing the truth of mathematical formulas. Formulas describe properties of terms and have a truth value. The following are atomic formulas: True False p(t1,..tn) where t1,..,tn are terms and p is a predicate. If F1, F2 and F3 are formulas and v is a variable then the following are compound formulas: The "order" of a logic specifies what entities "For all" and "Exists" may quantify over. Firstorder logic can only quantify over sets of atomic propositions. (E.g. For all p . p => p). Secondorder logic can quantify over functions on propositions, and higherorder logic can quantify over any type of entity. The sets over which quantifiers operate are usually implicit but can be deduced from wellformedness constraints. In firstorder logic quantifiers always range over ALL the elements of the domain of discourse. By contrast, secondorder logic allows one to quantify over subsets. 1
 noun firstorder logic (logic) A formal deductive system extended from propositional logic with the possibility to quantify over individuals of the domain of discourse. 0
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Parts of speech for Firstorder logic
noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
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