Published in: LIPIcs, Volume 241, 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)
Ilario Bonacina, Nicola Galesi, and Massimo Lauria. On Vanishing Sums of Roots of Unity in Polynomial Calculus and Sum-Of-Squares. In 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 241, pp. 23:1-23:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
@InProceedings{bonacina_et_al:LIPIcs.MFCS.2022.23, author = {Bonacina, Ilario and Galesi, Nicola and Lauria, Massimo}, title = {{On Vanishing Sums of Roots of Unity in Polynomial Calculus and Sum-Of-Squares}}, booktitle = {47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)}, pages = {23:1--23:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-256-3}, ISSN = {1868-8969}, year = {2022}, volume = {241}, editor = {Szeider, Stefan and Ganian, Robert and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2022.23}, URN = {urn:nbn:de:0030-drops-168211}, doi = {10.4230/LIPIcs.MFCS.2022.23}, annote = {Keywords: polynomial calculus, sum-of-squares, roots of unity, knapsack} }
Published in: LIPIcs, Volume 200, 36th Computational Complexity Conference (CCC 2021)
Susanna F. de Rezende, Massimo Lauria, Jakob Nordström, and Dmitry Sokolov. The Power of Negative Reasoning. In 36th Computational Complexity Conference (CCC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 200, pp. 40:1-40:24, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)
@InProceedings{derezende_et_al:LIPIcs.CCC.2021.40, author = {de Rezende, Susanna F. and Lauria, Massimo and Nordstr\"{o}m, Jakob and Sokolov, Dmitry}, title = {{The Power of Negative Reasoning}}, booktitle = {36th Computational Complexity Conference (CCC 2021)}, pages = {40:1--40:24}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-193-1}, ISSN = {1868-8969}, year = {2021}, volume = {200}, editor = {Kabanets, Valentine}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2021.40}, URN = {urn:nbn:de:0030-drops-143140}, doi = {10.4230/LIPIcs.CCC.2021.40}, annote = {Keywords: Proof complexity, Polynomial calculus, Nullstellensatz, Sums-of-squares, Sherali-Adams} }
Published in: LIPIcs, Volume 137, 34th Computational Complexity Conference (CCC 2019)
Stefan Dantchev, Nicola Galesi, and Barnaby Martin. Resolution and the Binary Encoding of Combinatorial Principles. In 34th Computational Complexity Conference (CCC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 137, pp. 6:1-6:25, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2019)
@InProceedings{dantchev_et_al:LIPIcs.CCC.2019.6, author = {Dantchev, Stefan and Galesi, Nicola and Martin, Barnaby}, title = {{Resolution and the Binary Encoding of Combinatorial Principles}}, booktitle = {34th Computational Complexity Conference (CCC 2019)}, pages = {6:1--6:25}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-116-0}, ISSN = {1868-8969}, year = {2019}, volume = {137}, editor = {Shpilka, Amir}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2019.6}, URN = {urn:nbn:de:0030-drops-108287}, doi = {10.4230/LIPIcs.CCC.2019.6}, annote = {Keywords: Proof complexity, k-DNF resolution, binary encodings, Clique and Pigeonhole principle} }
Published in: LIPIcs, Volume 79, 32nd Computational Complexity Conference (CCC 2017)
Massimo Lauria and Jakob Nordström. Graph Colouring is Hard for Algorithms Based on Hilbert's Nullstellensatz and Gröbner Bases. In 32nd Computational Complexity Conference (CCC 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 79, pp. 2:1-2:20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)
@InProceedings{lauria_et_al:LIPIcs.CCC.2017.2, author = {Lauria, Massimo and Nordstr\"{o}m, Jakob}, title = {{Graph Colouring is Hard for Algorithms Based on Hilbert's Nullstellensatz and Gr\"{o}bner Bases}}, booktitle = {32nd Computational Complexity Conference (CCC 2017)}, pages = {2:1--2:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-040-8}, ISSN = {1868-8969}, year = {2017}, volume = {79}, editor = {O'Donnell, Ryan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2017.2}, URN = {urn:nbn:de:0030-drops-75410}, doi = {10.4230/LIPIcs.CCC.2017.2}, annote = {Keywords: proof complexity, Nullstellensatz, Gr\"{o}bner basis, polynomial calculus, cutting planes, colouring} }
Published in: LIPIcs, Volume 47, 33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016)
Yuval Filmus, Pavel Hrubeš, and Massimo Lauria. Semantic Versus Syntactic Cutting Planes. In 33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 47, pp. 35:1-35:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2016)
@InProceedings{filmus_et_al:LIPIcs.STACS.2016.35, author = {Filmus, Yuval and Hrube\v{s}, Pavel and Lauria, Massimo}, title = {{Semantic Versus Syntactic Cutting Planes}}, booktitle = {33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016)}, pages = {35:1--35:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-001-9}, ISSN = {1868-8969}, year = {2016}, volume = {47}, editor = {Ollinger, Nicolas and Vollmer, Heribert}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2016.35}, URN = {urn:nbn:de:0030-drops-57367}, doi = {10.4230/LIPIcs.STACS.2016.35}, annote = {Keywords: proof complexity, cutting planes, lower bounds} }
Published in: LIPIcs, Volume 33, 30th Conference on Computational Complexity (CCC 2015)
Massimo Lauria and Jakob Nordström. Tight Size-Degree Bounds for Sums-of-Squares Proofs. In 30th Conference on Computational Complexity (CCC 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 33, pp. 448-466, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2015)
@InProceedings{lauria_et_al:LIPIcs.CCC.2015.448, author = {Lauria, Massimo and Nordstr\"{o}m, Jakob}, title = {{Tight Size-Degree Bounds for Sums-of-Squares Proofs}}, booktitle = {30th Conference on Computational Complexity (CCC 2015)}, pages = {448--466}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-81-1}, ISSN = {1868-8969}, year = {2015}, volume = {33}, editor = {Zuckerman, David}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2015.448}, URN = {urn:nbn:de:0030-drops-50736}, doi = {10.4230/LIPIcs.CCC.2015.448}, annote = {Keywords: Proof complexity, resolution, Lasserre, Positivstellensatz, sums-of-squares, SOS, semidefinite programming, size, degree, rank, clique, lower bound} }
Published in: LIPIcs, Volume 25, 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)
Yuval Filmus, Massimo Lauria, Mladen Miksa, Jakob Nordström, and Marc Vinyals. From Small Space to Small Width in Resolution. In 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 25, pp. 300-311, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2014)
@InProceedings{filmus_et_al:LIPIcs.STACS.2014.300, author = {Filmus, Yuval and Lauria, Massimo and Miksa, Mladen and Nordstr\"{o}m, Jakob and Vinyals, Marc}, title = {{From Small Space to Small Width in Resolution}}, booktitle = {31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)}, pages = {300--311}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-65-1}, ISSN = {1868-8969}, year = {2014}, volume = {25}, editor = {Mayr, Ernst W. and Portier, Natacha}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2014.300}, URN = {urn:nbn:de:0030-drops-44661}, doi = {10.4230/LIPIcs.STACS.2014.300}, annote = {Keywords: proof complexity, resolution, width, space, polynomial calculus, PCR} }
Published in: Dagstuhl Seminar Proceedings, Volume 10061, Circuits, Logic, and Games (2010)
Olaf Beyersdorff, Nicola Galesi, and Massimo Lauria. Hardness of Parameterized Resolution. In Circuits, Logic, and Games. Dagstuhl Seminar Proceedings, Volume 10061, pp. 1-28, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2010)
@InProceedings{beyersdorff_et_al:DagSemProc.10061.4, author = {Beyersdorff, Olaf and Galesi, Nicola and Lauria, Massimo}, title = {{Hardness of Parameterized Resolution}}, booktitle = {Circuits, Logic, and Games}, pages = {1--28}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2010}, volume = {10061}, editor = {Benjamin Rossman and Thomas Schwentick and Denis Th\'{e}rien and Heribert Vollmer}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.10061.4}, URN = {urn:nbn:de:0030-drops-25254}, doi = {10.4230/DagSemProc.10061.4}, annote = {Keywords: Proof complexity, parameterized complexity, Resolution, Prover-Delayer Games} }
Feedback for Dagstuhl Publishing