A Formalization of Convex Polyhedra Based on the Simplex Method-Reference-Cited by-同舟云学术

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A Formalization of Convex Polyhedra Based on the Simplex Method

Published:2018-08-04 Issue:2 Volume:63 Page:323-345
ISSN:0168-7433
Container-title:Journal of Automated Reasoning
language:en
Short-container-title:J Autom Reasoning

Author:

Allamigeon Xavier^ORCID,Katz Ricardo D.

Funder

Agence Nationale de la Recherche

Fondation Mathématique Jacques Hadamard

Publisher

Springer Science and Business Media LLC

Subject

Artificial Intelligence,Computational Theory and Mathematics,Software

Link

http://link.springer.com/content/pdf/10.1007/s10817-018-9477-1.pdf

Reference25 articles.

1. Armand, M., Faure, G., Grégoire, B., Keller, C., Théry, L., Werner, B.: A modular integration of sat/smt solvers to coq through proof witnesses. In: Jouannaud, J.P., Shao, Z. (eds.) Certified Programs and Proofs, pp. 135–150. Springer Berlin Heidelberg, Berlin (2011)

2. Avis, D.: A revised implementation of the reverse search vertex enumeration algorithm. In: Kalai, G., Ziegler, G.M. (eds.) Polytopes—Combinatorics and Computation. Birkhäuser, Basel (2002). https://doi.org/10.1007/978-3-0348-8438-9_9

3. Avis, D., Fukuda, K.: A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. Discrete Comput. Geom. 8(3), 295–313 (1992). https://doi.org/10.1007/BF02293050

4. Barthe, G., Forest, J., Pichardie, D., Rusu, V.: Defining and reasoning about recursive functions: a practical tool for the Coq proof assistant. In: Hagiya, M., Wadler, P. (eds.) Proceedings of FLOPS 2006. Springer Berlin Heidelberg, Berlin (2006). https://doi.org/10.1007/11737414_9

5. Besson, F.: Fast reflexive arithmetic tactics the linear case and beyond. In: Altenkirch, T., McBride, C. (eds.) Proceedings of TYPES 2006. Springer, Berlin (2007). https://doi.org/10.1007/978-3-540-74464-1_4

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2. Verified reductions for optimization;Tools and Algorithms for the Construction and Analysis of Systems;2023

3. Formalizing the Face Lattice of Polyhedra;Logical Methods in Computer Science;2022-05-18

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