predicate calculus


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predicate calculus

n.
The branch of symbolic logic that deals with relations between propositions and with their internal structure, especially the relation between subject and predicate.

predicate calculus

n
(Logic) the system of symbolic logic concerned not only with relations between propositions as wholes but also with the representation by symbols of individuals and predicates in propositions and with quantification over individuals. Also called: functional calculus See also propositional calculus

func′tional cal′culus


n.
the branch of symbolic logic that includes the sentential calculus and that deals with sentential functions and quantifiers and with logical relations between sentences containing quantifiers. Also called predicate calculus.
[1930–35]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.predicate calculus - a system of symbolic logic that represents individuals and predicates and quantification over individuals (as well as the relations between propositions)
formal logic, mathematical logic, symbolic logic - any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity
quantification - a limitation imposed on the variables of a proposition (as by the quantifiers `some' or `all' or `no')
Translations
predikaattilogiikka
predikatni račun
References in periodicals archive ?
Writing for computational as well as theoretical linguists, Seuren presents a family of rule systems for four European languages (and a small one for Turkish) to convert semantic analyses of sentences, expressed in an orthodox variety of Predicate Calculus, into well-formed syntactic surface structures that can be fed directly into a proper morphology.
In particular it has had difficulties with a large group of "logical paradoxes" through its preoccupation with the Predicate Calculus and related structures to the exclusion of other formal structures that represent natural language more fully, and thereby escape these paradoxes.
But, for the sake of compactness, one may accept the modern mathematical model in which you have propositional axioms and rules at the basic level; you add a few more axioms and rules and you get predicate calculus.
In what follows I explain Lacan's account of sexuation by showing how it distorts the formulae of the predicate calculus to achieve a precise effect.
Bolzano's syntax is accordingly substantially different from both traditional Aristotelian logic and standard first-order predicate calculus.
He carried out a systematic study of the problem of the existence of an interpretation which will satisfy a given formula of the predicate calculus.
Post and the development of logic, John von Neuman and the ideas of David Hilbert, the contribution of Polish logicians to decidability theory and predicate calculus, and the development of symbolism in logic and its philosophical background.
One of the most popular formalism used for meaning representation is First Order Predicate Calculus (FOPC)[22] which fulfills all above requirements and captures predicate argument structures for meaning representations.
Then, working together in English, the physician and SRA translate it into a logically equivalent unambiguous predicate calculus form P from which Cyc then designs and executes appropriate database calls.
Furthermore, the author of this paper opines that set theory should be the core of the course with logic and predicate calculus as antecedents to the set theory, and number theory, cardinal and ordinal theory, or beginning topology of the reals as consequents of set theory.
A representation equivalent to the predicate calculus notation that allows to reason more easily is achieved.
Now Kapstein believes the difficulty here can be resolved by using the predicate calculus to bring out the logical structure of the two pairs of statements (p.