Proof Theory of Modal Logic

Proof Theory of Modal Logic edited by Heinrich Wansing.

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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Wansing, Heinrich (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1996.
Edition:1st ed. 1996.
Series:Applied Logic Series, 2
Springer eBook Collection.
Subjects:
Logic.
Artificial intelligence.
Mathematical logic.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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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