2.3: Derivation Systems

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Sep 12, 2021
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- 2.2.7: Summary
- 2.3.1: Introduction

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2.3.1: Introduction
The purpose of derivation systems is to provide a purely syntactic method of establishing entailment and validity.
2.3.2: The Sequent Calculus
While many derivation systems operate with arrangements of sentences, the sequent calculus operates with sequents.
2.3.3: Natural Deduction
Natural deduction is a derivation system intended to mirror actual reasoning (especially the kind of regimented reasoning employed by mathematicians).
2.3.4: Tableaux
While many derivation systems operate with arrangements of sentences, tableaux operate with signed formulas.
2.3.5: Axiomatic Derivations
Axiomatic derivations are the oldest and simplest logical derivation systems. Its derivations are simply sequences of sentences.

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