Explicit Proofs in Formal Provability Logic 1st Edition by Evan Goris ISBN 9783540727347

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ISBN 10: 
ISBN 13: 9783540727347
Author: Evan Goris

In this paper we answer the question what implicit proof assertions in the provability logic GL can be realized by explicit proof terms. In particular we show that the fragment of GL which can be realized by generalized proof terms of GLA is exactly S4 ∩ GL and equals the fragment that can be realized by proof-terms of LP. In the final sections of this paper we establish the disjunction property for GLA and give an axiomatization for GL ∩ S4.

Explicit Proofs in Formal Provability Logic 1st Table of contents:

• Formal Provability Logic
• Explicit Proofs and Their Role
• Theoretical Foundations
• Constructive Approaches to Provability
• Proof Systems and Techniques
• Applications of Explicit Proofs
• Challenges and Open Problems
• Future Directions

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