Hypersequent Calculus for Intuitionistic Logic with Classical Atoms 1st Edition by Hidenori Kurokawa ISBN 9783540727347

Hypersequent Calculus for Intuitionistic Logic with Classical Atoms 1st Edition by Hidenori Kurokawa – Ebook PDF Instant Download/Delivery. 9783540727347
Full download Hypersequent Calculus for Intuitionistic Logic with Classical Atoms 1st Edition after payment

Product details:

ISBN 10: 
ISBN 13: 9783540727347
Author: Hidenori Kurokawa

We introduce a hypersequent calculus for intuitionistic logic with classical atoms, i.e. intuitionistic logic augmented with a special class of propositional variables for which we postulate the decidability property. This system combines classical logical reasoning with constructive and computationally oriented intuitionistic logic in one system. Our main result is the cut-elimination theorem with the subformula property for this system. We show this by a semantic method, namely via proving the completeness theorem of the hypersequent calculus without the cut rule. The cut-elimination theorem gives a semantic completeness of the system, decidability, and some form of the disjunction property.

Hypersequent Calculus for Intuitionistic Logic with Classical Atoms 1st Table of contents:

• Intuitionistic Logic and Classical Atoms
• Hypersequent Calculus: Basics and Definition
• Extensions of Hypersequent Calculus
• Proof Systems for Intuitionistic Logic
• Classical Atoms and Their Role in Intuitionistic Logic
• Proof Theory and Soundness
• Applications and Case Studies
• Challenges and Future Directions

People also search for Hypersequent Calculus for Intuitionistic Logic with Classical Atoms 1st:

    
hypersequent calculus for intuitionistic logic
    
intuitionistic logic pdf
    
intuitionistic linear logic
    
hypersequent calculi
    
hyperbolic space intuition