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Index
Table of Contents
Axiomatic Assumptions
Functional Extensionality
Propositional Extensionality
Preliminaries
Type Theory
Synthetic Computability Theory
First-Order Logic
Full Syntax
Full Syntax Operations & Properties
Fragment Syntax
Fragment Syntax Operations & Properties
Formula Enumeration
Natural Deduction
Constructive Analysis
Tarski Semantics
Generalized Theory Extension
Constructive Analysis of Completeness Theorems
Tarki Models
Standard Models
Exploding Models
Minimal Models
Extending the Completeness Results
Kripke Semantics
Kripke Models
Normal Sequent Calculus
Constructive Analysis of Completeness Theorems
Exploding and Minimal Models
Standard Models
Dialogue Semantics
Generalized Intuitionistic E-Completeness
Generalized Intuitionistic E-Dialogues
Dialogical Sequent Calculus
Soundness and Completeness
Generalized Intuitionistic D-Completeness
Generalized Intuitionistic D-Dialogues
Soundness and Completeness
Translating LJD into S-Vaidity
Full Intuitionistic First-Order Completeness
Full Intuitionistic Sequent Calculus
Translating between LJT and LJD
Translating between LJ and LJD