LIPIcs, Volume 137
CCC 2019, July 18-20, 2019, New Brunswick, NJ, USA
Editors: Amir Shpilka
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Xin Li and Yan Zhong. Explicit Directional Affine Extractors and Improved Hardness for Linear Branching Programs. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 10:1-10:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{li_et_al:LIPIcs.CCC.2024.10, author = {Li, Xin and Zhong, Yan}, title = {{Explicit Directional Affine Extractors and Improved Hardness for Linear Branching Programs}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {10:1--10:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.10}, URN = {urn:nbn:de:0030-drops-204060}, doi = {10.4230/LIPIcs.CCC.2024.10}, annote = {Keywords: Randomness Extractors, Affine, Read-once Linear Branching Programs, Low-degree polynomials, AC⁰ circuits} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Peter Bürgisser, Mahmut Levent Doğan, Visu Makam, Michael Walter, and Avi Wigderson. Complexity of Robust Orbit Problems for Torus Actions and the abc-Conjecture. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 14:1-14:48, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{burgisser_et_al:LIPIcs.CCC.2024.14, author = {B\"{u}rgisser, Peter and Do\u{g}an, Mahmut Levent and Makam, Visu and Walter, Michael and Wigderson, Avi}, title = {{Complexity of Robust Orbit Problems for Torus Actions and the abc-Conjecture}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {14:1--14:48}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.14}, URN = {urn:nbn:de:0030-drops-204100}, doi = {10.4230/LIPIcs.CCC.2024.14}, annote = {Keywords: computational invariant theory, geometric complexity theory, orbit problems, abc-conjecture, closest vector problem} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Prerona Chatterjee, Deepanshu Kush, Shubhangi Saraf, and Amir Shpilka. Lower Bounds for Set-Multilinear Branching Programs. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 20:1-20:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{chatterjee_et_al:LIPIcs.CCC.2024.20, author = {Chatterjee, Prerona and Kush, Deepanshu and Saraf, Shubhangi and Shpilka, Amir}, title = {{Lower Bounds for Set-Multilinear Branching Programs}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {20:1--20:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.20}, URN = {urn:nbn:de:0030-drops-204167}, doi = {10.4230/LIPIcs.CCC.2024.20}, annote = {Keywords: Lower Bounds, Algebraic Branching Programs, Set-multilinear polynomials} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Hugo Aaronson, Tom Gur, Ninad Rajgopal, and Ron D. Rothblum. Distribution-Free Proofs of Proximity. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 24:1-24:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{aaronson_et_al:LIPIcs.CCC.2024.24, author = {Aaronson, Hugo and Gur, Tom and Rajgopal, Ninad and Rothblum, Ron D.}, title = {{Distribution-Free Proofs of Proximity}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {24:1--24:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.24}, URN = {urn:nbn:de:0030-drops-204204}, doi = {10.4230/LIPIcs.CCC.2024.24}, annote = {Keywords: Property Testing, Interactive Proofs, Distribution-Free Property Testing} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Michael A. Forbes. Low-Depth Algebraic Circuit Lower Bounds over Any Field. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 31:1-31:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{forbes:LIPIcs.CCC.2024.31, author = {Forbes, Michael A.}, title = {{Low-Depth Algebraic Circuit Lower Bounds over Any Field}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {31:1--31:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.31}, URN = {urn:nbn:de:0030-drops-204271}, doi = {10.4230/LIPIcs.CCC.2024.31}, annote = {Keywords: algebraic circuits, lower bounds, low-depth circuits, positive characteristic} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Vikraman Arvind and Pushkar S. Joglekar. A Multivariate to Bivariate Reduction for Noncommutative Rank and Related Results. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 14:1-14:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{arvind_et_al:LIPIcs.ICALP.2024.14, author = {Arvind, Vikraman and Joglekar, Pushkar S.}, title = {{A Multivariate to Bivariate Reduction for Noncommutative Rank and Related Results}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {14:1--14:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.14}, URN = {urn:nbn:de:0030-drops-201571}, doi = {10.4230/LIPIcs.ICALP.2024.14}, annote = {Keywords: noncommutative rank, rational formulas, identity testing, parallel complexity} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Omkar Baraskar, Agrim Dewan, Chandan Saha, and Pulkit Sinha. NP-Hardness of Testing Equivalence to Sparse Polynomials and to Constant-Support Polynomials. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 16:1-16:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{baraskar_et_al:LIPIcs.ICALP.2024.16, author = {Baraskar, Omkar and Dewan, Agrim and Saha, Chandan and Sinha, Pulkit}, title = {{NP-Hardness of Testing Equivalence to Sparse Polynomials and to Constant-Support Polynomials}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {16:1--16:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.16}, URN = {urn:nbn:de:0030-drops-201598}, doi = {10.4230/LIPIcs.ICALP.2024.16}, annote = {Keywords: Equivalence testing, MCSP, sparse polynomials, 3SAT} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Xin Li and Yan Zhong. Two-Source and Affine Non-Malleable Extractors for Small Entropy. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 108:1-108:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{li_et_al:LIPIcs.ICALP.2024.108, author = {Li, Xin and Zhong, Yan}, title = {{Two-Source and Affine Non-Malleable Extractors for Small Entropy}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {108:1--108:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.108}, URN = {urn:nbn:de:0030-drops-202512}, doi = {10.4230/LIPIcs.ICALP.2024.108}, annote = {Keywords: Randomness Extractors, Non-malleable, Two-source, Affine} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Carla Groenland, Isja Mannens, Jesper Nederlof, Marta Piecyk, and Paweł Rzążewski. Towards Tight Bounds for the Graph Homomorphism Problem Parameterized by Cutwidth via Asymptotic Matrix Parameters. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 77:1-77:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{groenland_et_al:LIPIcs.ICALP.2024.77, author = {Groenland, Carla and Mannens, Isja and Nederlof, Jesper and Piecyk, Marta and Rz\k{a}\.{z}ewski, Pawe{\l}}, title = {{Towards Tight Bounds for the Graph Homomorphism Problem Parameterized by Cutwidth via Asymptotic Matrix Parameters}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {77:1--77:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.77}, URN = {urn:nbn:de:0030-drops-202208}, doi = {10.4230/LIPIcs.ICALP.2024.77}, annote = {Keywords: graph homomorphism, cutwidth, asymptotic matrix parameters} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Hamed Hatami, Kaave Hosseini, Shachar Lovett, and Anthony Ostuni. Refuting Approaches to the Log-Rank Conjecture for XOR Functions. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 82:1-82:11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{hatami_et_al:LIPIcs.ICALP.2024.82, author = {Hatami, Hamed and Hosseini, Kaave and Lovett, Shachar and Ostuni, Anthony}, title = {{Refuting Approaches to the Log-Rank Conjecture for XOR Functions}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {82:1--82:11}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.82}, URN = {urn:nbn:de:0030-drops-202252}, doi = {10.4230/LIPIcs.ICALP.2024.82}, annote = {Keywords: Communication complexity, log-rank conjecture, XOR functions, additive structure} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Vladimir V. Podolskii and Dmitrii Sluch. One-Way Communication Complexity of Partial XOR Functions. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 116:1-116:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{podolskii_et_al:LIPIcs.ICALP.2024.116, author = {Podolskii, Vladimir V. and Sluch, Dmitrii}, title = {{One-Way Communication Complexity of Partial XOR Functions}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {116:1--116:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.116}, URN = {urn:nbn:de:0030-drops-202591}, doi = {10.4230/LIPIcs.ICALP.2024.116}, annote = {Keywords: Partial functions, XOR functions, communication complexity, decision trees, covering codes} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Aaron Potechin and Aaron Zhang. Bounds on the Total Coefficient Size of Nullstellensatz Proofs of the Pigeonhole Principle. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 117:1-117:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{potechin_et_al:LIPIcs.ICALP.2024.117, author = {Potechin, Aaron and Zhang, Aaron}, title = {{Bounds on the Total Coefficient Size of Nullstellensatz Proofs of the Pigeonhole Principle}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {117:1--117:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.117}, URN = {urn:nbn:de:0030-drops-202604}, doi = {10.4230/LIPIcs.ICALP.2024.117}, annote = {Keywords: Proof complexity, Nullstellensatz, pigeonhole principle, coefficient size} }
Published in: LIPIcs, Volume 287, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024)
Jop Briët, Matthias Christandl, Itai Leigh, Amir Shpilka, and Jeroen Zuiddam. Discreteness of Asymptotic Tensor Ranks (Extended Abstract). In 15th Innovations in Theoretical Computer Science Conference (ITCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 287, pp. 20:1-20:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{briet_et_al:LIPIcs.ITCS.2024.20, author = {Bri\"{e}t, Jop and Christandl, Matthias and Leigh, Itai and Shpilka, Amir and Zuiddam, Jeroen}, title = {{Discreteness of Asymptotic Tensor Ranks}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {20:1--20:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-309-6}, ISSN = {1868-8969}, year = {2024}, volume = {287}, editor = {Guruswami, Venkatesan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.20}, URN = {urn:nbn:de:0030-drops-195483}, doi = {10.4230/LIPIcs.ITCS.2024.20}, annote = {Keywords: Tensors, Asymptotic rank, Subrank, Slice rank, Restriction, Degeneration, Diagonalization, SLOCC} }
Published in: LIPIcs, Volume 287, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024)
Yuval Filmus, Edward A. Hirsch, Artur Riazanov, Alexander Smal, and Marc Vinyals. Proving Unsatisfiability with Hitting Formulas. In 15th Innovations in Theoretical Computer Science Conference (ITCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 287, pp. 48:1-48:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{filmus_et_al:LIPIcs.ITCS.2024.48, author = {Filmus, Yuval and Hirsch, Edward A. and Riazanov, Artur and Smal, Alexander and Vinyals, Marc}, title = {{Proving Unsatisfiability with Hitting Formulas}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {48:1--48:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-309-6}, ISSN = {1868-8969}, year = {2024}, volume = {287}, editor = {Guruswami, Venkatesan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.48}, URN = {urn:nbn:de:0030-drops-195762}, doi = {10.4230/LIPIcs.ITCS.2024.48}, annote = {Keywords: hitting formulas, polynomial identity testing, query complexity} }