Main Publications
- S.Tupailo, Gentzen-style and Novikov-style cutelimination,
in: Logical
Foundations of Computer Science - Tver'92, Lecture Notes in Computer
Science,
620 (1992), 493-502
- S. Tupailo, Normalization for Arithmetical Comprehension with
Restricted
Occurences of Hilbert's Epsilon Symbol, Eesti TA Toimetised,
Füüsika-Matemaatika, kd. 42, nr. 4, 1993, lk. 289-299
- S. Tupailo, On a Proof-Theoretical Analysis of
$\Sigma^1_1-AC$,
$\Sigma^1_1-DC$
and $\Delta^1_1-CA$, Proceedings of LPAR'94, Lecture Notes in
Artificial
Intelligence, v. 822 (1993), pp. 44-53
- G. Mints, S. Tupailo, W. Buchholz, Epsilon
substitution method for elementary analysis, Archive for
Mathematical
Logic (1996) 35 pp. 103-130. (Published as a Research Report at
Stanford
in 1993)
- G. Mints, S. Tupailo, Epsilon
substitution method for the ramified language and
$\Delta^1_1$-comprehension
rule. In: A. Cantini, E. Casari, P.L. Minari (eds.), Logic
and
Foundations of Mathematics, 107--130, 1999. (Published as a
Research
Report No. CSLI-96-198, Part 1, at Stanford in 1996)
- S. Tupailo, Finitary
reductions for local predicativity, 1: recursively regular ordinals.
In: S. Buss, P. Hajek, P. Pudlak (eds.), Logic Colloquium 98,
465--499,
2000
- S. Tupailo, Realization
of analysis into Explicit Mathematics, Journal of Symbolic Logic:
66(4), 1848--1864, 2001
- S. Tupailo, Realization
of Constructive Set Theory into Explicit Mathematics: a lower bound for
impredicative Mahlo universe.
Annals of Pure and Applied Logic: 120/1--3,
pp. 165--196, 2003
- S. Tupailo. On
Non-wellfounded Constructive Set Theory. In: G. Mints, R.
Muskens
(eds.), Games, Logic, and Constructive Sets, 109--125, CSLI
Publications,
2003
- S. Tupailo. Epsilon
Substitution Method for $\Delta^1_1-CR$: a Constructive Termination
Proof.
Logic Journal of the IGPL, Vol. 11 No. 3, pp. 365-375, 2003
- S. Tupailo. On
the
Intuitionistic Strength of Monotone Inductive Definitions.
Journal of Symbolic Logic: 69(3), 790-798, 2004
- M. Rathjen, S. Tupailo. Characterizing the interpretation of set
theory in Martin-Loef type theory. Annals
of Pure and Applied Logic: 141(3), 442--471, 2006
- S. Tupailo. Monotone Inductive
Definitions and consistency of New Foundations. In: C. Dimitracopoulos, L.
Newelski, D. Normann, J. R. Steel (eds.), Proceedings of Logic Colloquium 2005, Lecture
Notes in Logic (No. 28), pp. 255--272, 2008
- S. Tupailo. Consistency of Strictly
Impredicative NF and a little more... To appear in the Journal of Symbolic Logic
Sergei Tupailo / Institute of Cybernetics at TUT, Akadeemia
tee 21, 12618
Tallinn, Estonia,
sergei@cs.ioc.ee