A Short Introduction to Intuitionistic Logic

• Main Author: Mints, Grigori. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston, MA : Springer US, 2000.
• Series: The University Series in Mathematics
• Subjects: Mathematics.; Logic.; Computer science > Mathematics.; Mathematical logic.; Mathematical Logic and Foundations.; Mathematics of Computing.
• Online Access: View fulltext via EzAccess

Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material pro...

Table of Contents:

• Intuitionistic Predicate Logic
• Natural Deduction System NJ
• Kripke Models for Predicate Logic
• Systems LJm, LJ
• Proof-Search in Predicate Logic
• Preliminaries
• Natural Deduction for Propositional Logic
• Negative Translation: GlivenkoỚ"s Theorem
• Program Interpretation of Intuitionistic Logic
• Computations with Deductions
• Coherence Theorem
• Kripke Models
• Gentzen-type Propositional System LJpm
• Topological Completeness
• Proof-search
• System LJp
• Interpolation Theorem.