Overview

Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

Full Product Details

Author:   Heinrich Wansing
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1996
Volume:   2
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.510kg
ISBN:  

9789048147205

ISBN 10:   9048147204
Pages:   318
Publication Date:   09 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

I Standard Proof Systems.- A Contraction-free Sequent Calculus for S4.- Transfer of Sequent Calculus Strategies to Resolution for S4.- A Linear Approach to Modal Proof Theory.- Refutations and Proofs in S4.- II Extended Formalisms.- Relational Proof Systems for Modal Logics.- The Display Problem.- Power and Weakness of the Modal Display Calculus.- A Proof-theoretic Proof of Functional Completeness for Many Modal and Tense Logics.- On the Completeness of Classical Modal Display Logic.- Modal Sequents.- Modal Functional Completeness.- A Computational Interpretation of Modal Proofs.- Gabbay-style Calculi.- III Translation-based Proof Systems.- Translating Graded Modalities into Predicate Logics.- From Classical to Normal Modal Logics.

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