Semantical Investigations in Heyting's Intuitionistic Logic

Semantical Investigations in Heyting's Intuitionistic Logic by Dov M. Gabbay.

From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt­ ing's implication....

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Bibliographic Details
Main Author: Gabbay, Dov M. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1981.
Edition:1st ed. 1981.
Series:Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 148
Springer eBook Collection.
Subjects:
Logic.
Semantics.
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:
  • Logical Systems and Semantics
  • Introducing HPC
  • The Kripke, Beth and Topological Interpretations for HPC
  • Heyting’s Propositional Calculus and Extensions
  • Three Intermediate Logics
  • Formulas in One Variable
  • Propositional Connectives
  • The Interpolation Theorem
  • Second Order Propositional Calculus
  • Modified Kripke Interpretation
  • Theories in HPC 1
  • Theories in HPC 2
  • Completeness of HPC with Respect to RE and Post Structures
  • Undecidability Results
  • Decidability Results.

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