Blum was born to a Jewish family in Venezuela.[9] Blum was educated at MIT, where he received his bachelor's degree and his master's degree in electrical engineering in 1959 and 1961 respectively. In MIT, he was recommended to Warren S. McCulloch, and they collaborated on some mathematical problems in neural networks.[10][11][12] He obtained a Ph.D. in mathematics in 1964 supervised by Marvin Minsky.[1][7]
In 2002, he was elected to the United States National Academy of Sciences. In 2006, he was elected a member of the National Academy of Engineering for contributions to abstract complexity theory, inductive inference, cryptographic protocols, and the theory and applications of program checkers.
In 2018 he and his wife Lenore resigned from Carnegie Mellon University to protest against sexism after a change in management structure of Project Olympus led to sexist treatment of her as director and the exclusion of other women from project activities.[14]
Research
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.
↑ 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, Manuel. "Properties of a neuron with many inputs." Bionics Symposium: Living Prototypes--the Key to New Technology, 13-14-15 September 1960. WADD technical report, 60-600. (1961)
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