natural deduction

Natural deduction refers to related proof systems for several different kinds of logic, intended to be similar to the way people actually reason. Unlike many other proof systems, it has many rules and few axioms. Sequents in natural deduction have only one formulaMathworldPlanetmathPlanetmath on the right side.

Typically the rules consist of one pair for each connectiveMathworldPlanetmath, one of which allows the introduction of that symbol and the other its elimination.

To give one example, the proof rules I and E are:



Title natural deduction
Canonical name NaturalDeduction
Date of creation 2013-03-22 13:05:14
Last modified on 2013-03-22 13:05:14
Owner Henry (455)
Last modified by Henry (455)
Numerical id 5
Author Henry (455)
Entry type Definition
Classification msc 03F03
Related topic GentzenSystem