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Solovay, Robert M. (1970). "A model of set-theory in which every set of reals is
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Solovay, Robert M. and Volker
Strassen (1977). "A fast Monte-Carlo test for primality".
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as additional axioms) completely axiomatizes the logic of the provability predicate of
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30:"Solovay" redirects here. For alleged internet "Spam King", see
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Members of the United States
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278:showing that, if one assumes the existence of an
57:Robert Solovay in 1993 (photo by George Bergman)
700:Solovay, Robert M. (1967). "A nonconstructible
571:{\displaystyle \mathrm {P} \neq \mathrm {NP} }
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626:{\displaystyle \Box (\Box A\to A)\to \Box A}
320:with the existence of a measurable cardinal;
715:(1). American Mathematical Society: 50–75.
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648:can efficiently approximate an arbitrary
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513:Outside of set theory, developing (with
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246:A Functorial Form of the Differentiable
216:(born December 15, 1938) is an American
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533:. This method has had implications for
586:which has the instances of the schema
251:. Solovay has spent his career at the
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1260:20th-century American mathematicians
464:can be decomposed into the union of
253:University of California at Berkeley
255:, where his Ph.D. students include
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433:{\displaystyle S\subseteq \kappa }
168:University of California, Berkeley
27:American mathematician (born 1938)
25:
312:Proving that the existence of a
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644:, proving that a finite set of
519:Solovay–Strassen primality test
314:real-valued measurable cardinal
240:in 1964 under the direction of
116:Solovay–Strassen primality test
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861:Mathematics Genealogy Project
787:Mathematics Genealogy Project
831:10.1016/0304-3975(94)00068-9
818:Theoretical Computer Science
508:cardinality of the continuum
502:, showed the consistency of
282:, then the statement "every
271:Solovay's theorems include:
296:Zermelo–Fraenkel set theory
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812:Emerson, T. (1994-10-10).
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738:SIAM Journal on Computing
521:, used to identify large
484:disjoint stationary sets;
349:strongly compact cardinal
244:, with a dissertation on
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656:in what is now known as
336:{\displaystyle \lambda }
305:Isolating the notion of
36:Soloway (disambiguation)
506:with arbitrarily large
477:{\displaystyle \kappa }
407:{\displaystyle \kappa }
658:Solovay–Kitaev theorem
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138:Paris Kanellakis Award
128:Solovay–Kitaev theorem
34:. For other uses, see
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665:Selected publications
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582:Proving that GL (the
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238:University of Chicago
214:Robert Martin Solovay
102:University of Chicago
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292:Lebesgue measurable
232:Solovay earned his
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707:set of integers".
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80:Brooklyn, New York
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857:Robert M. Solovay
783:Robert M. Solovay
764:Provability logic
675:. Second Series.
457:{\displaystyle S}
347:, greater than a
345:singular cardinal
276:Solovay's theorem
242:Saunders Mac Lane
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186:Doctoral students
180:Saunders Mac Lane
148:Scientific career
73:December 15, 1938
45:Robert M. Solovay
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75:(age 85)
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1184:Mitzenmacher
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824:(1): 15–22.
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744:(1): 84–85.
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535:cryptography
298:without the
288:real numbers
270:
245:
231:
213:
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198:BetĂĽl Tanbay
164:Institutions
147:
1270:1938 births
679:(1): 1–56.
531:probability
220:working in
158:Mathematics
88:Nationality
1244:Categories
1058:Buchberger
770:References
529:with high
222:set theory
120:Zero sharp
69:1938-12-15
1224:Ferragina
1114:Leiserson
1000:Franaszek
988:Karmarkar
840:0304-3975
618:◻
615:→
606:→
600:◻
594:◻
558:≠
525:that are
472:κ
428:κ
425:⊆
402:κ
373:λ
364:λ
331:λ
236:from the
228:Biography
1206:McSherry
1100:Charikar
1084:Mehlhorn
1034:Holzmann
1028:Schapire
1018:Strassen
972:McMillan
758:See also
92:American
1228:Manzini
1220:Burrows
1166:Szegedy
1158:Gibbons
1148:Pevzner
1142:Shenker
1110:Blumofe
1078:Rogaway
1074:Bellare
1052:Brayton
1038:Kurshan
1014:Solovay
978:Sleator
968:Emerson
932:Hellman
924:Adleman
859:at the
785:at the
729:1994631
693:1970696
652:on one
444:, then
18:Solovay
1230:(2022)
1216:(2021)
1210:Nissim
1190:(2020)
1180:Karlin
1176:Broder
1168:(2019)
1162:Matias
1150:(2018)
1144:(2017)
1138:(2016)
1128:(2015)
1122:(2014)
1120:Demmel
1116:(2013)
1106:(2012)
1096:Broder
1092:(2011)
1086:(2010)
1080:(2009)
1070:(2008)
1068:Vapnik
1064:Cortes
1060:(2007)
1054:(2006)
1048:(2005)
1046:Wolper
1030:(2004)
1024:Freund
1020:(2003)
1006:Miller
1002:(2002)
996:(2001)
990:(2000)
984:(1999)
982:Tarjan
974:(1998)
964:Clarke
960:Bryant
956:(1997)
950:Lempel
946:(1996)
944:Shamir
940:Rivest
936:Merkle
928:Diffie
838:
727:
691:
517:) the
391:holds;
154:Fields
141:(2003)
134:Awards
82:, U.S.
1214:Smith
1202:Dwork
1198:Dinur
1188:Upfal
1104:Indyk
1090:Samet
1042:Vardi
1010:Rabin
994:Myers
725:JSTOR
689:JSTOR
654:qubit
640:With
527:prime
498:With
487:With
440:is a
351:then
234:Ph.D.
1194:Blum
1172:Azar
1154:Alon
1136:Naor
1132:Fiat
1126:Luby
870:DBLP
836:ISSN
267:Work
259:and
63:Born
954:Ziv
868:at
826:doi
822:133
746:doi
717:doi
713:127
681:doi
316:is
290:is
286:of
284:set
1246::
1226:,
1222:,
1212:,
1208:,
1204:,
1200:,
1196:,
1186:,
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1008:,
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970:,
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930:,
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834:.
820:.
816:.
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702:Δ
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621:A
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609:A
603:A
597:(
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565:P
562:N
554:P
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510:;
495:;
452:S
422:S
377:+
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360:2
309:;
307:0
302:;
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