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