Studies in Constructive Mathematics and Mathematical Logic

Part I

herausgegeben von A. O. Slisenko

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.