Zhikun Yuen, Paula Branco, et al.
DSAA 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.
Zhikun Yuen, Paula Branco, et al.
DSAA 2023
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AAAI 2019
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JPDC
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ICDH 2024