Yi Zhou, Parikshit Ram, et al.
ICLR 2023
In the 1820s Fourier provided the first algorithm for solving linear arithmetic constraints. In other words, this algorithm determines whether or not the polyhedral set associated with the constraints is empty. We show here that Fourier's algorithm has an important hidden property: in effect it also computes the affine hull of the polyhedral set. This result is established by making use of a recent theorem on the independence of negative constraints. © 1992 Kluwer Academic Publishers.
Yi Zhou, Parikshit Ram, et al.
ICLR 2023
Fahiem Bacchus, Joseph Y. Halpern, et al.
IJCAI 1995
Kenneth L. Clarkson, Elad Hazan, et al.
Journal of the ACM
Hironori Takeuchi, Tetsuya Nasukawa, et al.
Transactions of the Japanese Society for Artificial Intelligence