Sentence examples for propositional calculus from inspiring English sources

What we are given here as input is a proposition in the propositional calculus and we have to decide whether it has a satisfying truth assignment.

Their goal was to try to solve with this algorithm an instance of satisfiability deciding whether a proposition in the propositional calculus has a satisfying truth assignment which is one of the most famous NP-complete problems (Cook 1971).

As opposed to the predicate calculus, the propositional calculus employs simple, unanalyzed propositions rather than terms or noun expressions as its atomic units; and, as opposed to the functional calculus, it treats only propositions that do not contain variables.

The predicate calculus is to be distinguished from the propositional calculus, which deals with unanalyzed whole propositions related by connectives (such as "and," "if... then," and "or").

As a formal system the propositional calculus is concerned with determining which formulas (compound proposition forms) are provable from the axioms.

See also propositional calculus.

The predicate calculus usually builds upon some form of the propositional calculus.

The two main branches of formal logic are the propositional calculus and the predicate calculus.

A description is given for the use of a proof checker for propositional calculus.

1975 Zvi Galil, "The Complexity of Resolution Procedures for Theorem Proving in the Propositional Calculus".

Propositional calculus, also called Sentential Calculus, in logic, symbolic system of treating compound and complex propositions and their logical relationships.