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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1972, Volume 32

| General information | Contents |


Studies in constructive mathematics and mathematical logic. Part V


On the relation between classical and construetive analysis
M. G. Gelfond
5
The increase of the complexity of functions at an application of the multiple recursion
E. Ya. Dantsin
12
On a relation between sheaf-spaces and numerated sets with $C_2^*$-property
Yu. L. Ershov
18
Some properties of solutions of equations in a free semigroup
N. K. Kossovski
21
On recognizing invariant properties of algorithms
N. K. Kossovski
29
The recognition of the self-crossing of plane trajectory by Kolmogorov algorithm
M. V. Kubinets
35
Metamathematical interpretation of the fan theorem
V. A. Lifshits
45
A non-compact closed sphere in a constructive compact metric space
V. A. Lifshits, V. P. Chernov
53
Deduction search in calculi of general type
S. Yu. Maslov
59
Probabilistic canonical systems
S. Yu. Maslov, E. D. Rusakov
66
Arithmetical representations of recursively enumerable sets with a small number of quantifiers
Yu. V. Matiyasevich
77
Derivability of admissible rules
G. E. Mints
85
Cut-elimination theorem for relevant logics
G. E. Mints
90
A specialization of Gentzen-type deductions and its application
V. P. Orevkov
98
Some properties of graphs of functions in the Grzegorczyk hierarchy
S. V. Pakhomov
105
An extention of the inverse method to axiomatic theories with equality
A. Y. Plushkevichene
108
An equation calculus for primitive recursive rational-valued functions
M. Kh. Fakhmi
116
Families of the recursive predicates of the zero measure
R. I. Freidson
121
Topological variants of the continuity theorem and of some related theorems
V. P. Chernov
129
On constructive operators of finite types
V. P. Chernov
140
A classification of spaces of operators of finite types
V. P. Chernov
148


© Steklov Math. Inst. of RAS, 2025