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Sacks, Gerald E.

Compute Distance To:
 Author ID: sacks.gerald-e Published as: Sacks, G.; Sacks, G. E.; Sacks, G. F.; Sacks, Gerald; Sacks, Gerald E. External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 64 Publications since 1961, including 10 Books Biographic References: 2 Publications
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Co-Authors

 50 single-authored 2 Gandy, Robin O. 2 Müller, Gert Heinz 2 Slaman, Theodore A. 1 Abramson, Fred G. 1 Ambos-Spies, Klaus 1 Ebbinghaus, Heinz-Dieter 1 Fenstad, Jens Erik 1 Friedman, Sy-David 1 Homer, Steve 1 Kreisel, Georg 1 Lerman, Manuel 1 Millar, Judith R. 1 Nerode, Anil 1 Simpson, Stephen G.
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Serials

 5 Bulletin of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Annals of Pure and Applied Logic 3 Advances in Mathematics 2 Annals of Mathematical Logic 2 Fundamenta Mathematicae 2 The Journal of Symbolic Logic 2 Proceedings of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 Lecture Notes in Mathematics 1 American Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Michigan Mathematical Journal 1 Notre Dame Journal of Formal Logic 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 1 Historia Mathematica 1 Notices of the American Mathematical Society 1 Annals of Mathematics Studies 1 Studies in Logic and the Foundations of Mathematics 1 Perspectives in Logic 1 Perspectives in Mathematical Logic

Fields

 46 Mathematical logic and foundations (03-XX) 6 History and biography (01-XX) 4 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Computer science (68-XX)

Citations contained in zbMATH Open

44 Publications have been cited 773 times in 566 Documents Cited by Year
Higher recursion theory. Zbl 0716.03043
Sacks, Gerald E.
1990
Degrees of unsolvability. Zbl 0143.25302
Sacks, G. F.
1963
Saturated model theory. Zbl 0242.02054
Sacks, Gerald E.
1972
The recursively enumerable degrees are dense. Zbl 0135.00702
Sacks, G. E.
1964
On the degrees less than 0’. Zbl 0118.25104
Sacks, G. E.
1963
Countable admissible ordinals and hyperdegrees. Zbl 0439.03027
Sacks, Gerald E.
1976
The $$\alpha$$-finite injury method. Zbl 0262.02037
Sacks, G. E.; Simpson, S. G.
1972
A minimal degree less than $$O'$$. Zbl 0101.01202
Sacks, Gerald E.
1961
Metarecursive sets. Zbl 0156.25203
Kreisel, Georg; Sacks, Gerald E.
1965
Recursive enumerability and the jump operator. Zbl 0118.25103
Sacks, G. E.
1963
On suborderings of degrees of recursive unsolvability. Zbl 0118.25202
Sacks, G. E.
1961
Forcing with perfect closed sets. Zbl 0226.02047
Sacks, Gerald E.
1971
Measure-theoretic uniformity in recursion theory and set theory. Zbl 0209.01603
Sacks, G. E.
1969
A maximal set which is not complete. Zbl 0135.24903
Sacks, G.
1964
Recursion theory. Zbl 0906.03040
Sacks, G. E.
1997
Some minimal pairs of $$\alpha$$-recursively enumerable degrees. Zbl 0262.02040
Lerman, Manuel; Sacks, Gerald E.
1972
Recursion theory week. Proceedings of a conference held in Oberwolfach, Germany, March 19-25, 1989. Zbl 0699.00011
Ambos-Spies, Klaus (ed.); Müller, Gert (ed.); Sacks, Gerald E. (ed.)
1990
The differential closure of a differential field. Zbl 0276.02039
Sacks, Gerald E.
1972
A minimal hyperdegree. Zbl 0204.01502
Gandy, R. O.; Sacks, G. E.
1967
Post’s problem, admissible ordinals, and regularity. Zbl 0149.24704
Sacks, G. E.
1966
Bounds on weak scattering. Zbl 1123.03021
Sacks, Gerald E.
2007
The k-section of a type n object. Zbl 0373.02033
Sacks, Gerald E.
1977
Metarecursively enumerable sets and admissible ordinals. Zbl 0149.24703
Sacks, G. E.
1966
Higher recursion theory. Reprint of the 1990 original published by Springer. Zbl 1365.03011
Sacks, Gerald E.
2016
Atomic models higher up. Zbl 1152.03024
Millar, J.; Sacks, G. E.
2008
A simple set which is not effectively simple. Zbl 0154.25703
Sacks, G. E.
1964
Sacks, G. E.; Slaman, T. A.
1987
The limits of E-recursive enumerability. Zbl 0632.03040
Sacks, Gerald E.
1986
Recursion theory week. Proceedings of a Conference held in Oberwolfach, West Germany, April 15-21, 1984. Zbl 0566.00001
Ebbinghaus, H.-D. (ed.); Müller, G. H. (ed.); Sacks, G. E. (ed.)
1985
Post’s problem, absoluteness and recursion in finite types. Zbl 0472.03032
Sacks, Gerald E.
1980
Friedman, S. D.; Sacks, G. E.
1977
Metarecursion theory. Zbl 0189.01001
Sacks, G. E.
1967
Measure-theoretic uniformity. Zbl 0164.31503
Sacks, G. E.
1967
On a theorem of Lachlan and Martin. Zbl 0154.00603
Sacks, G. E.
1967
Saturated model theory. 2nd ed. Zbl 1190.03032
Sacks, Gerald E.
2010
On the reducibility of $$\Pi_ 1^ 1$$ sets. Zbl 0223.02045
Sacks, Gerald E.
1971
Mathematical logic in the 20th century. Zbl 1033.03001
Sacks, Gerald E. (ed.)
2003
On the number of countable models. Zbl 0563.03015
Sacks, Gerald E.
1983
Three aspects of recursive enumerability in higher types. Zbl 0469.03030
Sacks, G. E.
1980
Effective bounds on Morley rank. Zbl 0437.03022
Sacks, Gerald E.
1979
Uncountable Gandy ordinals. Zbl 0358.02052
Abramson, F. G.; Sacks, G. E.
1976
Remarks against foundational activity. Zbl 0333.02003
Sacks, Gerald
1975
The 1-section of a type n object. Zbl 0287.02026
Sacks, Gerald E.
1974
F-recursiveness. Zbl 0298.02036
Sacks, Gerald E.
1971
Higher recursion theory. Reprint of the 1990 original published by Springer. Zbl 1365.03011
Sacks, Gerald E.
2016
Saturated model theory. 2nd ed. Zbl 1190.03032
Sacks, Gerald E.
2010
Atomic models higher up. Zbl 1152.03024
Millar, J.; Sacks, G. E.
2008
Bounds on weak scattering. Zbl 1123.03021
Sacks, Gerald E.
2007
Mathematical logic in the 20th century. Zbl 1033.03001
Sacks, Gerald E. (ed.)
2003
Recursion theory. Zbl 0906.03040
Sacks, G. E.
1997
Higher recursion theory. Zbl 0716.03043
Sacks, Gerald E.
1990
Recursion theory week. Proceedings of a conference held in Oberwolfach, Germany, March 19-25, 1989. Zbl 0699.00011
Ambos-Spies, Klaus (ed.); Müller, Gert (ed.); Sacks, Gerald E. (ed.)
1990
Sacks, G. E.; Slaman, T. A.
1987
The limits of E-recursive enumerability. Zbl 0632.03040
Sacks, Gerald E.
1986
Recursion theory week. Proceedings of a Conference held in Oberwolfach, West Germany, April 15-21, 1984. Zbl 0566.00001
Ebbinghaus, H.-D. (ed.); Müller, G. H. (ed.); Sacks, G. E. (ed.)
1985
On the number of countable models. Zbl 0563.03015
Sacks, Gerald E.
1983
Post’s problem, absoluteness and recursion in finite types. Zbl 0472.03032
Sacks, Gerald E.
1980
Three aspects of recursive enumerability in higher types. Zbl 0469.03030
Sacks, G. E.
1980
Effective bounds on Morley rank. Zbl 0437.03022
Sacks, Gerald E.
1979
The k-section of a type n object. Zbl 0373.02033
Sacks, Gerald E.
1977
Friedman, S. D.; Sacks, G. E.
1977
Countable admissible ordinals and hyperdegrees. Zbl 0439.03027
Sacks, Gerald E.
1976
Uncountable Gandy ordinals. Zbl 0358.02052
Abramson, F. G.; Sacks, G. E.
1976
Remarks against foundational activity. Zbl 0333.02003
Sacks, Gerald
1975
The 1-section of a type n object. Zbl 0287.02026
Sacks, Gerald E.
1974
Saturated model theory. Zbl 0242.02054
Sacks, Gerald E.
1972
The $$\alpha$$-finite injury method. Zbl 0262.02037
Sacks, G. E.; Simpson, S. G.
1972
Some minimal pairs of $$\alpha$$-recursively enumerable degrees. Zbl 0262.02040
Lerman, Manuel; Sacks, Gerald E.
1972
The differential closure of a differential field. Zbl 0276.02039
Sacks, Gerald E.
1972
Forcing with perfect closed sets. Zbl 0226.02047
Sacks, Gerald E.
1971
On the reducibility of $$\Pi_ 1^ 1$$ sets. Zbl 0223.02045
Sacks, Gerald E.
1971
F-recursiveness. Zbl 0298.02036
Sacks, Gerald E.
1971
Measure-theoretic uniformity in recursion theory and set theory. Zbl 0209.01603
Sacks, G. E.
1969
A minimal hyperdegree. Zbl 0204.01502
Gandy, R. O.; Sacks, G. E.
1967
Metarecursion theory. Zbl 0189.01001
Sacks, G. E.
1967
Measure-theoretic uniformity. Zbl 0164.31503
Sacks, G. E.
1967
On a theorem of Lachlan and Martin. Zbl 0154.00603
Sacks, G. E.
1967
Post’s problem, admissible ordinals, and regularity. Zbl 0149.24704
Sacks, G. E.
1966
Metarecursively enumerable sets and admissible ordinals. Zbl 0149.24703
Sacks, G. E.
1966
Metarecursive sets. Zbl 0156.25203
Kreisel, Georg; Sacks, Gerald E.
1965
The recursively enumerable degrees are dense. Zbl 0135.00702
Sacks, G. E.
1964
A maximal set which is not complete. Zbl 0135.24903
Sacks, G.
1964
A simple set which is not effectively simple. Zbl 0154.25703
Sacks, G. E.
1964
Degrees of unsolvability. Zbl 0143.25302
Sacks, G. F.
1963
On the degrees less than 0’. Zbl 0118.25104
Sacks, G. E.
1963
Recursive enumerability and the jump operator. Zbl 0118.25103
Sacks, G. E.
1963
A minimal degree less than $$O'$$. Zbl 0101.01202
Sacks, Gerald E.
1961
On suborderings of degrees of recursive unsolvability. Zbl 0118.25202
Sacks, G. E.
1961
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Cited by 421 Authors

 30 Shore, Richard A. 27 Downey, Rodney Graham 21 Slaman, Theodore A. 16 Yu, Liang 15 Chong, Chi Tat 15 Sacks, Gerald E. 14 Lempp, Steffen 12 Greenberg, Noam 12 Nies, André Otfrid 11 Cooper, Stuart Barry 11 Friedman, Sy-David 11 Knight, Julia F. 11 Montalbán, Antonio 11 Soare, Robert I. 10 Simpson, Stephen G. 9 Stephan, Frank 8 Li, Angsheng 8 Soskova, Mariya Ivanova 7 Arslanov, Marat M. 7 Lachlan, Alistair H. 7 Lerman, Manuel 7 Wu, Guohua 6 Barmpalias, George 6 Basarab, Serban A. 6 Groszek, Marcia J. 6 Jockusch, Carl G. jun. 6 Kjos-Hanssen, Bjørn 6 Lewis, Andrew E. M. 6 Lubarsky, Robert S. 6 Miller, Joseph S. 6 Morozov, Andreĭ Sergeevich 6 Ng, KengMeng 6 Sorbi, Andrea 6 Welch, Philip D. 6 Yamaleev, Mars Mansurovich 6 Yang, Yue 5 Jain, Sanjay 5 Monin, Benoît 5 Normann, Dag 5 Puzarenko, Vadim G. 5 Sharma, Arun K. 4 Bienvenu, Laurent 4 Faizrakhmanov, Marat Kh. 4 Hirschfeldt, Denis Roman 4 Kalimullin, Iskander Shagitovich 4 Kent, Thomas F. 4 Macintyre, Angus John 4 Miller, Russell G. 4 Rathjen, Michael 4 Yates, C. E. M. 3 Ambos-Spies, Klaus 3 Baldwin, John T. 3 Calvert, Wesley 3 Carl, Merlin 3 Case, John 3 Cenzer, Douglas 3 Cherlin, Gregory L. 3 Cholak, Peter A. 3 Csima, Barbara F. 3 Di Paola, Robert A. 3 Ding, Decheng 3 Feferman, Solomon 3 Fokina, Ekaterina B. 3 Franklin, Johanna N. Y. 3 Friedman, Harvey M. 3 Ganchev, Hristo A. 3 Goncharov, Sergeĭ Savost’yanovich 3 Harizanov, Valentina S. 3 Harrington, Leo A. 3 Hrushovski, Ehud 3 Kechris, Alexander S. 3 Koepke, Peter 3 Lutz, Jack H. 3 Marker, David E. 3 Melnikov, Alexander G. 3 Remmel, Jeffrey B. 3 Sanders, Sam 3 Sasso, Leonard P. jun. 3 Terwijn, Sebastiaan A. 3 Turetsky, Daniel D. 3 van den Dries, Lou 2 Ambainis, Andris 2 Anderson, Bernard A. 2 Andrews, Uri 2 Badillo, Liliana 2 Bazhenov, Nikolaĭ Alekseevich 2 Calhoun, William C. 2 Chong, Chen-Tai 2 Day, Adam R. 2 Dëgtev, A. N. 2 Fejer, Peter A. 2 Fenner, Stephen A. 2 Freitag, James 2 Guzy, Nicolas 2 Hamkins, Joel David 2 Harris, Charles M. 2 Harrison-Trainor, Matthew 2 Hjorth, Gregory 2 Homer, Steven 2 Hutoreckii, A. B. ...and 321 more Authors
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Cited in 73 Serials

 108 The Journal of Symbolic Logic 89 Annals of Pure and Applied Logic 42 Transactions of the American Mathematical Society 34 Proceedings of the American Mathematical Society 27 The Bulletin of Symbolic Logic 23 Archive for Mathematical Logic 22 Algebra and Logic 20 Israel Journal of Mathematics 17 Theoretical Computer Science 14 Advances in Mathematics 11 Journal of Algebra 9 Notre Dame Journal of Formal Logic 8 Journal of Computer and System Sciences 8 Journal of Mathematical Logic 8 Bulletin of the American Mathematical Society 6 Information and Computation 5 Archiv für Mathematische Logik und Grundlagenforschung 5 Russian Mathematics 4 Compositio Mathematica 4 Siberian Mathematical Journal 3 Algebra Universalis 3 Journal of Pure and Applied Algebra 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Studia Logica 3 Journal of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Acta Mathematica Sinica. New Series 3 Mathematical Logic Quarterly (MLQ) 2 Journal of Philosophical Logic 2 Journal of Soviet Mathematics 2 Mathematical Systems Theory 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Synthese 2 Mathematical Social Sciences 2 Lobachevskii Journal of Mathematics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 The Review of Symbolic Logic 1 Acta Informatica 1 Communications in Algebra 1 Discrete Mathematics 1 Information Processing Letters 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Acta Mathematica Hungarica 1 Journal of Computer Science and Technology 1 Science in China. Series A 1 Historia Mathematica 1 Stochastic Processes and their Applications 1 Theory of Computing Systems 1 Soft Computing 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 RAIRO. Theoretical Informatics and Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Journal of Algebra and its Applications 1 Proceedings of the Steklov Institute of Mathematics 1 RAIRO. Theoretical Informatics and Applications 1 Eurasian Mathematical Journal 1 Forum of Mathematics, Sigma
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Cited in 25 Fields

 520 Mathematical logic and foundations (03-XX) 72 Computer science (68-XX) 36 Field theory and polynomials (12-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 14 Commutative algebra (13-XX) 14 Group theory and generalizations (20-XX) 12 Algebraic geometry (14-XX) 12 General topology (54-XX) 11 Measure and integration (28-XX) 9 Combinatorics (05-XX) 8 Number theory (11-XX) 7 History and biography (01-XX) 6 Associative rings and algebras (16-XX) 5 General algebraic systems (08-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX)

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