RISC Publications and Technical Reports in the frame of project 'Theory Exploration in Theorema: Recent Approaches to Gröbner Bases'
2021
Alexander Maletzky.A generic and executable formalization of signature-based Gröbner basis algorithms.J. Symb. Comput.106, pp. 23-47.2021.Elsevier,ISSN 0747-7171.arXiv:2012.02239 [cs.SC], https://doi.org/10.1016/j.jsc.2020.12.001.[url][bib]
2019
A. Maletzky.Formalization of Dubé's Degree Bounds for Gröbner Bases in Isabelle/HOL. In: Intelligent Computer Mathematics (Proceedings of CICM 2019, Prague, Czech Republic, July 8-12), Cezary Kaliszyk and Edwin Brady and Andrea Kohlhase and Claudio Sacerdoti-Coen (ed.), Proceedings of CICM 2019, Lecture Notes in Computer Science, pp. ?-?.2019.Springer,to appear.[pdf][bib]
A. Maletzky.Gröbner Bases and Macaulay Matrices in Isabelle/HOL. RISC, JKU Linz. Technical report, 2019.Submitted to Formal Aspects of Computing.[pdf][bib]
A. Maletzky.Theorema-HOL: Classical Higher-Order Logic in Theorema. Technical report no. 19-03 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).June2019.[pdf][bib]
2018
A. Maletzky, F. Immler.Gröbner Bases of Modules and Faugère's F4 Algorithm in Isabelle/HOL. In: Intelligent Computer Mathematics (Proceedings of CICM 2018, Hagenberg, Austria, August 13-17), Florian Rabe and William Farmer and Grant Passmore and Abdou Youssef (ed.), Proceedings of CICM 2018, Lecture Notes in Computer Science11006, pp. 178-193.2018.Springer,ISBN 978-3-319-96811-7.The final publication is available at Springer via https://doi.org/10.1007/978-3-319-96812-4_16.[doi][bib]
A. Maletzky, F. Immler.Gröbner Bases of Modules and Faugère's F4 Algorithm in Isabelle/HOL (extended version). RISC, JKU Linz. Technical report, May2018.arXiv:1805.00304 [cs.LO].[url][bib]
A. Maletzky.Gröbner Bases and Macaulay Matrices in Isabelle/HOL. RISC. Technical report, December2018.[pdf][bib]
A. Maletzky.A Generic and Executable Formalization of Signature-Based Gröbner Basis Algorithms. RISC. Technical report, September2018.Submitted.[pdf][bib]
2017
A. Maletzky.A New Reasoning Framework for Theorema 2.0. RISC, Johannes Kepler University Linz. Technical report, May2017.Accepted as work-in-progress paper at CICM 2017 (10th Conference on Intelligent Computer Mathematics, Edinburgh, UK, July 17-21).[pdf][bib]