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 only mode of obtaining an answer to these questions of the senses is to forego all low curiosity, and, accepting the tide of being which floats us into the secret of nature, work and live, work and live, and all unawares the advancing soul has built and forged for itself a new condition, and the question and the answer are one.”
—Ralph Waldo Emerson (1803–1882)
“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)
“There never has been a time in our history when work was so abundant or when wages were as high, whether measured by the currency in which they are paid or by their power to supply the necessaries and comforts of life.”
—Benjamin Harrison (1833–1901)