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:
“... possibly there is no needful occupation which is wholly unbeautiful. The beauty of work depends upon the way we meet it—whether we arm ourselves each morning to attack it as an enemy that must be vanquished before night comes, or whether we open our eyes with the sunrise to welcome it as an approaching friend who will keep us delightful company all day, and who will make us feel, at evening, that the day was well worth its fatigues.”
—Lucy Larcom (1824–1893)
“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)
“To lift, to fetch, to drive, to shed, to pen,
Are acts I recognize, with all they mean
Of shepherding the unruly, for a kind of
Controlled woolgathering is my work too.”
—Cecil Day Lewis (1904–1972)