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1967, Volume 4  

| General information | Contents |


Studies in constructive mathematics and mathematical logic. Part I


Preface
A. O. Slisenko
7
A proof method for the classical predicate calculus
G. V. Davydov
8–17
On correction of unprovable formulae
G. V. Davydov
18–29
Lebesgue integral in constructive analysis
O. Demuth
30–43
Sufficient conditions for incompleteness of formalized parts of arithmetic
N. K. Kossovski
44–57
The normal form for deductions in the predicate calculus with equality and functional symbols
V. A. Lifshits
58–64
Some reduction classes and undecidable theories
V. A. Lifshits
65–68
Deductive validity and reduction classes
V. A. Lifshits
69–77
The decision problem for some constructive theories of equality
V. A. Lifshits
78–85
On constructive groups
V. A. Lifshits
86–95
Invertible sequential variant of intuitibnistic predicate calculus
S. Yu. Maslov
96–111
Choice of terms in quantifier rules of the intuitionistic pridicate calculus
G. E. Mints
112–122
Analog of the Herbrand's theorem for the intuitionistic predicate calculus
G. E. Mints
123–133
Varying of proof search tactics in sequenzen-calculi
G. E. Mints
134–151
Embedding operations related to the S. Kripke's "semantics"
G. E. Mints
152–159
On embedding operations
G. E. Mints, V. P. Orevkov
160–167
Unsolvability in the modal predicate calculus of the class of formulas containing only one monadic predicate variable
V. P. Orevkov
168–173
A sequential calculus of the constructive logic for the normal formulae without structural rules of inference
R. A. Plyushkevitchus
174–188
On sequential variants of applied predicate calculi
M. G. Rogava
189–200
On maximal regulators of continuity for constructive functions
A. O. Slisenko
201–208
Representation of recursive predicates by Rabin's machines
R. I. Freidson
209–218
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