April 26, 1938 |
|Institutions||University of California, Berkeley
Carnegie Mellon University
|Alma mater||Massachusetts Institute of Technology|
|Thesis||A Machine-Independent Theory of the Complexity of Recursive Functions (1964)|
|Doctoral advisor||Marvin Minsky|
|Doctoral students||Leonard Adleman
C. Eric Bach
John Gill, III
Luis von Ahn
Ivan da Costa Marques
|Known for||Blum complexity axioms
Blum's speedup theorem
Blum Blum Shub
|Notable awards||Turing Award (1995)|
Manuel Blum (Caracas, 26 April 1938) is a Venezuelan computer scientist who received the Turing Award in 1995 "In recognition of his contributions to the foundations of computational complexity theory and its application to cryptography and program checking".
Blum was educated at MIT, where he received his bachelor's degree and his master's degree in EECS in 1959 and 1961 respectively, and his Ph.D. in Mathematics in 1964 supervised by Marvin Minsky.
In the 60s he developed an axiomatic complexity theory which was independent of concrete machine models. The theory is based on Gödel numberings and the Blum axioms. Even though the theory is not based on any machine model it yields concrete results like the compression theorem, the gap theorem, the honesty theorem and the Blum speedup theorem.
Some of his other work includes a protocol for flipping a coin over a telephone, median of medians (a linear time selection algorithm), the Blum Blum Shub pseudorandom number generator, the Blum-Goldwasser cryptosystem, and more recently CAPTCHAs.
Among his PhD students are Leonard Adleman, Shafi Goldwasser, Russell Impagliazzo, Silvio Micali, Gary Miller, Moni Naor, Steven Rudich, Michael Sipser, Umesh Vazirani and Vijay Vazirani, Ronitt Rubinfeld, Luis von Ahn, Nicholas Hopper, and Ryan Williams.
- Manuel Blum at the Mathematics Genealogy Project.
- ACM Turing Award Citation, retrieved 2010-01-24.
- Manuel Blum's publications indexed by the DBLP Bibliography Server at the University of Trier
- List of publications from Microsoft Academic Search
- Blum, Manuel; Micali, Silvio (1984). "How to Generate Cryptographically Strong Sequences of Pseudorandom Bits" (PDF). SIAM Journal on Computing 13 (4): 850. doi:10.1137/0213053.
- Blum, M.; Floyd, R. W.; Pratt, V. R.; Rivest, R. L.; Tarjan, R. E. (August 1973). "Time bounds for selection" (PDF). Journal of Computer and System Sciences 7 (4): 448–461. doi:10.1016/S0022-0000(73)80033-9.
- Blum, Manuel (1967). "A Machine-Independent Theory of the Complexity of Recursive Functions" (PDF). Journal of the ACM 14 (2): 322–336. doi:10.1145/321386.321395.
- Blum, L.; Blum, M.; Shub, M. (1986). "A Simple Unpredictable Pseudo-Random Number Generator". SIAM Journal on Computing 15 (2): 364. doi:10.1137/0215025.
- Blum, L.; Blum, M. (1975). "Toward a mathematical theory of inductive inference". Information and Control 28 (2): 125. doi:10.1016/S0019-9958(75)90261-2.
- Von Ahn, Luis; Blum, Manuel; Hopper, Nicholas J.; Langford, John (May 2003). "CAPTCHA: Using Hard AI Problems for Security". Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques (EUROCRYPT 2003).