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natural deduction
noun
A kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the "natural" way of reasoning, in contrast to axiomatic systems.
Exact(60)
Section 3 sets up a deductive system for the language, in the spirit of natural deduction.
"In two years it will be a natural deduction," he wrote in his diary.
PC is often presented by what is known as the method of natural deduction.
By varying the above rules it is possible to obtain natural deduction systems corresponding to other versions of PC.
A natural deduction proof is a sequence of wffs beginning with one or more wffs as hypotheses; fresh hypotheses may also be added at any point in the course of a proof.
The system of natural deduction lay mostly dormant for some thirty years, until the thesis of Dag Prawitz of 1965, Natural Deduction: A Proof-Theoretical Study.
We also say that intuitionistic natural deduction satisfies the "introduction form property".
If one adopts the standpoint of natural deduction, then intuitionistic logic is a natural logical system.
Axiom systems, natural deduction systems and trees (or, equivalently, tableaux) are among the most common.
We describe an interactive visualization tool for large natural deduction proof searches.
Gentzen developed and studied the system of natural deduction during 1932, and had arrived by September 1932 at a calculus of natural deduction (ND for short) that is standard today.
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