predicate calculus

Noun

Meaning

a system of symbolic logic that represents individuals and predicates and quantification over individuals (as well as the relations between propositions)

Source: WordNet

Synonyms

functional calculus formal logic mathematical logic FOL propositional calculus propositional logic classical logic symbolic logic predicate logic first-order logic logical calculus first-order formalism first-order language first-order reasoning first-order deduction
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Hypernyms

formal logic mathematical logic symbolic logic

Related terms

predicate logic

Examples

After the basic form of the theorem is proved, it will be easy to extend it to the case of predicate calculus with equality. Source: Internet

A first-order predicate calculus suffices if the collection of relations is in first normal form. Source: Internet

A particular advantage of Kleene's tabular natural deduction systems is that he proves the validity of the inference rules for both propositional calculus and predicate calculus. Source: Internet

Gödel's completeness theorem says that a deductive system of first-order predicate calculus is "complete" in the sense that no additional inference rules are required to prove all the logically valid formulas. Source: Internet

Gödel's paper uses a version of first-order predicate calculus that has no function or constant symbols to begin with. Source: Internet

The first-order predicate calculus avoids such ambiguity by using formulae that carry no existential import with respect to universal statements. Source: Internet

Close letter words and terms

predicant predicatable predicate predicate logic predicate noun predicated on