کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10332699 687746 2016 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Constraint satisfaction and semilinear expansions of addition over the rationals and the reals
ترجمه فارسی عنوان
رضایتمندی محدودیت ها و گسترش نیمه نهایی اضافی بر اساس منطق و واقعیات
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
چکیده انگلیسی
A semilinear relation is a finite union of finite intersections of open and closed half-spaces over, for instance, the reals, the rationals, or the integers. Semilinear relations have been studied in connection with algebraic geometry, automata theory, and spatiotemporal reasoning. We consider semilinear relations over the rationals and the reals. Under this assumption, the computational complexity of the constraint satisfaction problem (CSP) is known for all finite sets containing R+={(x,y,z)|x+y=z}, ≤, and {1}. These problems correspond to expansions of the linear programming feasibility problem. We generalise this result and fully determine the complexity for all finite sets of semilinear relations containing R+. This is accomplished in part by introducing an algorithm, based on computing affine hulls, which solves a new class of semilinear CSPs in polynomial time. We further analyse the complexity of linear optimisation over the solution set and the existence of integer solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computer and System Sciences - Volume 82, Issue 5, August 2016, Pages 912-928
نویسندگان
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