Studies in Constructive Mathematics and Mathematical Logic : Part I / edited by A.O. Slisenko.

This volume contains a number of short papers reporting results presented to the Leningrad Seminar on Constructive Mathematics or to the Leningrad Seminar on Mathematical Logic. As a rule, the notes do not contain detailed proofs. Complete explanations will be printed in the Trudy (Transac tions) of...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Slisenko, A. O.
Format: eBook
Language:English
Published: Boston, MA : Springer US, 1969.
Series:Seminars in mathematics ; 4.
Subjects:
Table of Contents:
  • Method of Establishing Deducibility in Classical Predicate Calculus
  • On the Correction of Unprovable Formulas
  • Lebesgue Integral in Constructive Analysis
  • Sufficient Conditions of Incompleteness for the Formalization of Parts of Arithmetic
  • Normal Form for Deductions in Predicate Calculus with Equality and Functional Symbols
  • Some Reduction Classes and Undecidable Theories
  • Deductive Validity and Reduction Classes
  • Problem of Decidability for Some Constructive Theories of Equalities
  • On Constructive Groups
  • Invertible Sequential Variant of Constructive Predicate Calculus
  • Choice of Terms in Quantifier Rules of Constructive Predicate Calculus
  • Analog of Herbrand's Theorem for Prenex Formulas of Constructive Predicate Calculus
  • Variation in the Deduction Search Tactics in Sequential Calculus
  • Imbedding Operations Associated with Kripke's 'Semantics'
  • On Imbedding Operators
  • Undecidability of a Class of Formulas Containing Just One Single-Place Predicate Variable in Modal Calculus
  • Sequential Modification of Constructive Logic Calculus for Normal Formulas without Structural Deduction Rules
  • On Sequential Modifications of Applied Predicate Calculi
  • On Maximal Continuity Regulators for Constructive Functions
  • On Representability of Algorithmic ally Decidable Predicates by Rabin Machines.