Technical Report CS0580

TR#:CS0580
Class:CS
Title: Tile Direct Sum Conjecture in the Straight Line Model
Authors: Nader H. Bshouty
PDFCS0580.pdf
Abstract: We prove that if a quadratic system satisfies the direct sum conjecture strongly in the quadratic algorithm model, then it satisfies the direct sum conjecture strongly in the straight line algorithm model. Therefore if the sttong direct sum conjecture is true for the quadratic algorithms model then it is also true for the straight line algorithm model. We also use this to classify all the minimal programs that compu~e the product of two polynomials modulo a squarfree polynomial and many other direct sum of quadratic systems.
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