Work
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, a linear time Selection algorithm, the Blum Blum Shub pseudorandom number generator, the Blum-Goldwasser cryptosystem, and more recently CAPTCHAs.
Among his PhD advisees 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.
Read more about this topic: Manuel Blum
Famous quotes containing the word work:
“The work of the miner has its unavoidable incidents of discomfort and danger, and these should not be increased by the neglect of the owners to provide every practicable safety appliance. Economies which involve a sacrifice of human life are intolerable.”
—Benjamin Harrison (1833–1901)
“Even the wisest man grows tense
With some sort of violence
Before he can accomplish fate,
Know his work or choose his mate.
Poet and sculptor, do the work,
Nor let the modish painter shirk”
—William Butler Yeats (1865–1939)
“Peace can endure only so long as humanity really insists upon it, and is willing to work for it and sacrifice for it. Twenty- five years ago American fighting men looked to the statesmen of the world to finish the work of peace for which they fought and suffered; we failed them, we failed them then, we cannot fail them again and expect the world to survive again.”
—Franklin D. Roosevelt (1882–1945)