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Russian mathematician
Aleksandr Aleksandrovich Razborov (Russian: Алекса́ндр Алекса́ндрович Разбо́ров; born February 16, 1963), sometimes known as Sasha Razborov, is a Soviet and Russian
Alexander_Razborov
Provides lower bounds on the circuit complexity of boolean functions
P vs. NP problem. The notion of natural proofs was introduced by Alexander Razborov and Steven Rudich in their article "Natural Proofs", first presented
Natural_proof
Unsolved problem in computer science
SIAM Journal on Computing. 4 (4): 431–442. doi:10.1137/0204037. Razborov, Alexander A.; Steven Rudich (1997). "Natural proofs". Journal of Computer and
P_versus_NP_problem
Computer science award
160 (2): 781–793, doi:10.4007/annals.2004.160.781, ISSN 0003-486X Razborov, Alexander A.; Rudich, Steven (1997), "Natural proofs", Journal of Computer
Gödel_Prize
Technique in graph theory
them to semidefinite programming problems. Originally introduced by Alexander Razborov in a 2007 paper, the method has since come to solve numerous difficult
Flag_algebra
Mathematics award
Secretive Life of the International Mathematics Union". Alexander Soifer. 2017-07-01. Soifer, Alexander (2015). The Scholar and the State: In Search of Van
IMU_Abacus_Medal
1977 1994, 2011 Peter Shor United States S 1977 1998 1999 Alexander Razborov Soviet Union G 1979 1990 2007 Subhash Khot India S 1995
List of International Mathematical Olympiad participants
List_of_International_Mathematical_Olympiad_participants
Mathematical award
q-TSPP conjecture". www.koutschan.de. Razborov: On the minimal density of triangles in graphs Razborov, Alexander A. (2008). "On the Minimal Density of
David_P._Robbins_Prize
the Lévy–Prokhorov metric and Prokhorov's theorem in probability Alexander Razborov, mathematician and computational theorist who won the Nevanlinna Prize
List_of_Russian_scientists
Raskhodnikova Steen Rasmussen Michel Raynaud Dijen K. Ray-Chaudhuri Alexander Razborov Ronald C. Read László Rédei Raymond Redheffer Bruce Reed Irving S
List of people by Erdős number
List_of_people_by_Erdős_number
the Lévy–Prokhorov metric and Prokhorov's theorem in probability Alexander Razborov, mathematician and computational theorist who won the Nevanlinna Prize
List of Russian mathematicians
List_of_Russian_mathematicians
American computer scientist (1961–2024)
in the Carnegie Mellon School of Computer Science. In 1994, he and Alexander Razborov proved that a large class of combinatorial arguments, dubbed natural
Steven_Rudich
International specialist organization
First order theories The Twenty-First Annual Gödel Lecture 2010 Alexander Razborov, Complexity of propositional proofs The Twentieth Annual Gödel Lecture
Association for Symbolic Logic
Association_for_Symbolic_Logic
monotone Boolean logic circuits and arbitrary circuits. A result of Alexander Razborov, previously used to show that the clique number required exponentially
Tardos_function
Dickson Instructor in Mathematics and the college; Fields Medal winner Alexander Razborov – Andrew MacLeish Distinguished Service Professor in the Department
List of University of Chicago faculty
List_of_University_of_Chicago_faculty
first mainframe computer manufactured serially in the Soviet Union Alexander Razborov, won the Nevanlinna Prize for introducing the "approximation method"
List_of_Russian_IT_developers
Lecture series in mathematical logic
Macintyre 1999 Patrick Suppes 2000 Alexander Razborov 2001 Ronald Jensen 2002 Boris Zilber 2003 Ralph McKenzie 2004 Alexander S. Kechris 2005 Zlil Sela 2006
Tarski_Lectures
Award in mathematical logic
Richard Shore, Reverse Mathematics: the Playground of Logic. 2010 Alexander Razborov, Complexity of Propositional Proofs. 2011 Anand Pillay, First order
Gödel_Lecture
Ramirez-Ruiz Guthrie P. Ramsey, Jr. Thomas A. Rando Claudia Rankine Alexander Razborov Jennifer A. Richeson Cristina M. Rodríguez Charles M. Roessel Peter
List of American Academy of Arts and Sciences members (2020–2022)
List_of_American_Academy_of_Arts_and_Sciences_members_(2020–2022)
Global scientific union
Helena Rasiowa (Alternate Assessor 1971–1975; Assessor 1975–1979) Alexander Razborov (Assessor 2000–2003) Michael Redhead (Assessor 1995–1999) Qiu Renzong
International Union of History and Philosophy of Science
International_Union_of_History_and_Philosophy_of_Science
Russian mathematician (1931–2020)
Pyotr Novikov. He worked at Moscow State University (MSU) since 1965. Alexander Razborov was one of his students. In his first work as a student in 1950, Adian
Sergei_Adian
Computer Science. The first lecture series took place in 1998. 1998: Alexander Razborov (Steklov Institute, Russia), Jeff Kahn (Rutgers University, U.S.)
Erdős_Lectures
circuits (PDF), Ph.D. thesis, Massachusetts Institute of Technology. Razborov, Alexander A. (1993), "An equivalence between second order bounded domain bounded
Switching_lemma
Deductive system in set theory
Woodin, W. Hugh (2005), "The continuum hypothesis", in Cori, Rene; Razborov, Alexander; Todorčević, Stevo; et al. (eds.), Logic Colloquium 2000, Lect. Notes
Ω-logic
Random process independent of past history
Hayman, W. K.; Hyland, J. M. E.; Lorentz, G. G.; Moffatt, H. K.; Parry, W.; Razborov, A. A.; Robinson, C. A.; Whittle, P. (1990). "Andrei Nikolaevich Kolmogorov
Markov_chain
On domino tiling after removing two corners
310 (1–3): 513–525, doi:10.1016/S0304-3975(03)00395-5, MR 2020358 Razborov, Alexander A. (2004), "Resolution lower bounds for perfect matching principles"
Mutilated_chessboard_problem
Functional square root of an exponential
1090/S0025-5718-09-02188-7. Archived (PDF) from the original on 2012-11-08. Razborov, Alexander A.; Rudich, Steven (1997). "Natural proofs". Journal of Computer
Half-exponential_function
Extremal graph theory bound on clique-free graph edges
arXiv:1409.4192, doi:10.1016/j.jctb.2016.03.004, S2CID 5552776 Razborov, Alexander (2008). "On the minimal density of triangles in graphs" (PDF). Combinatorics
Turán's_theorem
Popov Frank Quinn A. A. Razborov John Rinzel Ernst Alfred Ruh Arnold Schönhage Vladimir Scheffer [de] Richard Melvin Schoen Alexander Schrijver Jacob T. Schwartz
List of International Congresses of Mathematicians Plenary and Invited Speakers
List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers
Fraction of graph maps that are homomorphisms
OCLC 812530987.{{cite book}}: CS1 maint: location missing publisher (link) Razborov, Alexander (2008). "On the minimal density of triangles in graphs" (PDF). Combinatorics
Homomorphism_density
Complexity class used in circuit complexity
dissertation". arXiv:1611.04843 [cs.CC]. Goldmann, Mikael; Håstad, Johan; Razborov, Alexander (1992-12-01). "Majority gates vs. general weighted threshold gates"
TC0
Complexity of sending information in a distributed algorithm
Science (sfcs 1977). IEEE. doi:10.1109/SFCS.1977.24. ISSN 0272-5428. Razborov, Alexander (1992). "On the distributional complexity of disjointness". Theoretical
Communication_complexity
Mathematics (ed. A. Laptev), EMS, Zurich, pp. 221–231, (2005). Alexander A. Razborov, Propositional proof complexity, in: Proc. 8th European Congress
Propositional_proof_system
Field in logic and theoretical computer science
doi:10.1007/s00037-004-0183-5. S2CID 1360759. Alekhnovich, Michael; Razborov, Alexander (2018). "Resolution is not automatizable unless W[P] is tractable"
Proof_complexity
Formal concept in theoretical computer science and cryptography
"Statistical Testing Techniques for Pseudorandom generation". Razborov, Alexander; Rudich, Steven (August 1997). "Natural Proofs". Journal of Computer
Pseudorandom_generator
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ALEXANDER RAZBOROV
ALEXANDER RAZBOROV
ALEXANDER RAZBOROV
ALEXANDER RAZBOROV
ALEXANDER RAZBOROV
ALEXANDER RAZBOROV
ALEXANDER RAZBOROV
ALEXANDER RAZBOROV
ALEXANDER RAZBOROV
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