An overview of mathematical issues arising in the Geometric complexity theory approach to VP v.s. VNP
نویسندگان
چکیده
We discuss the geometry of orbit closures and the asymptotic behavior of Kronecker coefficients in the context of the Geometric Complexity Theory program to prove a variant of Valiant’s algebraic analog of the P 6= NP conjecture. We also describe the precise separation of complexity classes that their program proposes to demonstrate.
منابع مشابه
J an 2 01 1 AN OVERVIEW OF MATHEMATICAL ISSUES ARISING IN THE GEOMETRIC COMPLEXITY THEORY APPROACH TO VP 6 = VNP
We discuss the geometry of orbit closures and the asymptotic behavior of Kronecker coefficients in the context of the Geometric Complexity Theory program to prove a variant of Valiant’s algebraic analog of the P 6= NP conjecture. We also describe the precise separation of complexity classes that their program proposes to demonstrate.
متن کاملAn Overview of Mathematical Issues Arising in the Geometric Complexity Theory Approach to VP≠VNP
We discuss the geometry of orbit closures and the asymptotic behavior of Kronecker coefficients in the context of the geometric complexity theory program to prove a variant of Valiant’s algebraic analogue of the P = NP conjecture. We also describe the precise separation of complexity classes that their program proposes to demonstrate.
متن کاملAn Overview of Mathematical Issues Arising in the Geometric Complexity Theory Approach to Vp 6= Vnp
We discuss the geometry of orbit closures and the asymptotic behavior of Kronecker coefficients in the context of the Geometric Complexity Theory program to prove a variant of Valiant’s algebraic analog of the P 6= NP conjecture. We also describe the precise separation of complexity classes that their program proposes to demonstrate.
متن کاملBoundaries of VP and VNP
One fundamental question in the context of the geometric complexity theory approach to the VP vs. VNP conjecture is whether VP = VP, where VP is the class of families of polynomials that can be computed by arithmetic circuits of polynomial degree and size, and VP is the class of families of polynomials that can be approximated infinitesimally closely by arithmetic circuits of polynomial degree ...
متن کاملChaos/Complexity Theory and Education
Sciences exist to demonstrate the fundamental order underlying nature. Chaos/complexity theory is a novel and amazing field of scientific inquiry. Notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (Retrieved from http://www.inc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/0907.2850 شماره
صفحات -
تاریخ انتشار 2009