Geometry And Complexity Theory

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Geometry and Complexity Theory
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Type: BOOK - Published: 2017-09-28 - Publisher: Cambridge University Press

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Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolve
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The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion
Geometry and Complexity Theory
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Type: BOOK - Published: 2017-09-28 - Publisher: Cambridge University Press

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This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.
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New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
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The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for t