predicate calculus

Database for beliefs about the world, represented using first order predicate calculus.

Using modern predicate calculus, we quickly discover that the statement is ambiguous.

(This is yet another basic result of first-order predicate calculus.

Conversely, monadic predicate calculus is not significantly more expressive than term logic.

Fril is a programming language for first-order predicate calculus.

The validities of monadic predicate calculus with identity are decidable, however.

The predicate calculus can handle the following statement:

In 1922 Behmann proved that the monadic predicate calculus is decidable.

First-order predicate calculus is commonly used as a mathematical basis for these systems, to avoid excessive complexity.

Recall that we view second-order arithmetic as a theory in first-order predicate calculus.

A first-order predicate calculus suffices if the collection of relation (database)s is in first normal form.

We work with first-order predicate calculus.

The syntax by means of which these two sub-parts are combined can be expressed in first-order predicate calculus.

He proposed simply translating natural languages into first-order predicate calculus in order to reduce meaning to a function of truth.

Inferences in term logic can all be represented in the monadic predicate calculus.

The syntax and semantics of classical logics (say, first order predicate calculus) make no such provision.

In Gödel's paper, he uses a version of first-order predicate calculus which has no function or constant symbols to begin with.

In first-order predicate calculus, All S is P can be represented as .

In a predicate calculus, relevance requires sharing of variables and constants between premises and conclusion.

There are two principles here that must be distinguished (equivalent versions of each are given in the language of the predicate calculus).

The absence of polyadic relation symbols severely restricts what can be expressed in the monadic predicate calculus.

In mathematical logic, Kalmár proved that certain classes of formulas of the first order predicate calculus were decidable.

In this approach, a formula in first-order logic (Predicate Calculus) is represented by a labeled graph.

Predicate Calculus and Program Semantics.

The formal system described above is sometimes called the pure monadic predicate calculus, where "pure" signifies the absence of function letters.