Matemáticas y Computación
Departamento
Publicaciones en las que colabora con (12)
2022
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A Formalization of the Smith Normal Form in Higher-Order Logic
Journal of Automated Reasoning
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Correction to: A Formalization of the Smith Normal Form in Higher-Order Logic (Journal of Automated Reasoning, (2022), 66, 4, (1065-1095), 10.1007/s10817-022-09631-5)
Journal of Automated Reasoning
2021
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Two algorithms based on modular arithmetic: lattice basis reduction and Hermite normal form computation
Archive of Formal Proofs, pp. 1-418
2020
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Formalizing the LLL Basis Reduction Algorithm and the LLL Factorization Algorithm in Isabelle/HOL
Journal of Automated Reasoning, Vol. 64, Núm. 5, pp. 827-856
2018
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A Formalization of the LLL Basis Reduction Algorithm
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
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A Perron-Frobenius Theorem for Jordan Blocks for Complexity Proving
WST 2018 16th International Workshop on Termination
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A verified LLL algorithm
Archive of Formal Proofs, pp. 1-251
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A verified factorization algorithm for integer polynomials with polynomial complexity
Archive of Formal Proofs, pp. 1-80
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Efficient certification of complexity proofs formalizing the Perron-Frobenius theorem (invited talk paper)
CPP 2018 - Proceedings of the 7th ACM SIGPLAN International Conference on Certified Programs and Proofs, Co-located with POPL 2018
2017
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A formalization of the Berlekamp-Zassenhaus factorization algorithm
CPP 2017 - Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs, pp. 17-29
2016
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Perron-Frobenius Theorem for Spectral Radius Analysis
Archive of Formal Proofs, pp. 1-132
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The Factorization Algorithm of Berlekamp and Zassenhaus
Archive of Formal Proofs, pp. 1-481