Published in: LIPIcs, Volume 317, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024)
Noam Mazor and Rafael Pass. On Black-Box Meta Complexity and Function Inversion. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 317, pp. 66:1-66:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{mazor_et_al:LIPIcs.APPROX/RANDOM.2024.66, author = {Mazor, Noam and Pass, Rafael}, title = {{On Black-Box Meta Complexity and Function Inversion}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024)}, pages = {66:1--66:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-348-5}, ISSN = {1868-8969}, year = {2024}, volume = {317}, editor = {Kumar, Amit and Ron-Zewi, Noga}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2024.66}, URN = {urn:nbn:de:0030-drops-210597}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2024.66}, annote = {Keywords: Meta Complexity, Kolmogorov complexity, function inversion} }
Published in: LIPIcs, Volume 306, 49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024)
Olaf Beyersdorff, Tim Hoffmann, Kaspar Kasche, and Luc Nicolas Spachmann. Polynomial Calculus for Quantified Boolean Logic: Lower Bounds Through Circuits and Degree. In 49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 306, pp. 27:1-27:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{beyersdorff_et_al:LIPIcs.MFCS.2024.27, author = {Beyersdorff, Olaf and Hoffmann, Tim and Kasche, Kaspar and Spachmann, Luc Nicolas}, title = {{Polynomial Calculus for Quantified Boolean Logic: Lower Bounds Through Circuits and Degree}}, booktitle = {49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024)}, pages = {27:1--27:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-335-5}, ISSN = {1868-8969}, year = {2024}, volume = {306}, editor = {Kr\'{a}lovi\v{c}, Rastislav and Ku\v{c}era, Anton{\'\i}n}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2024.27}, URN = {urn:nbn:de:0030-drops-205834}, doi = {10.4230/LIPIcs.MFCS.2024.27}, annote = {Keywords: proof complexity, QBF, polynomial calculus, circuits, lower bounds} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Noel Arteche, Gaia Carenini, and Matthew Gray. Quantum Automating TC⁰-Frege Is LWE-Hard. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 15:1-15:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{arteche_et_al:LIPIcs.CCC.2024.15, author = {Arteche, Noel and Carenini, Gaia and Gray, Matthew}, title = {{Quantum Automating TC⁰-Frege Is LWE-Hard}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {15:1--15:25}, 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.2024.15}, URN = {urn:nbn:de:0030-drops-204117}, doi = {10.4230/LIPIcs.CCC.2024.15}, annote = {Keywords: automatability, post-quantum cryptography, feasible interpolation} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Noel Arteche, Erfan Khaniki, Ján Pich, and Rahul Santhanam. From Proof Complexity to Circuit Complexity via Interactive Protocols. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 12:1-12:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{arteche_et_al:LIPIcs.ICALP.2024.12, author = {Arteche, Noel and Khaniki, Erfan and Pich, J\'{a}n and Santhanam, Rahul}, title = {{From Proof Complexity to Circuit Complexity via Interactive Protocols}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {12:1--12:20}, 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.2024.12}, URN = {urn:nbn:de:0030-drops-201557}, doi = {10.4230/LIPIcs.ICALP.2024.12}, annote = {Keywords: proof complexity, circuit complexity, interactive protocols} }
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 287, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024)
Iddo Tzameret and Lu-Ming Zhang. Stretching Demi-Bits and Nondeterministic-Secure Pseudorandomness. In 15th Innovations in Theoretical Computer Science Conference (ITCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 287, pp. 95:1-95:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{tzameret_et_al:LIPIcs.ITCS.2024.95, author = {Tzameret, Iddo and Zhang, Lu-Ming}, title = {{Stretching Demi-Bits and Nondeterministic-Secure Pseudorandomness}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {95:1--95:22}, 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.2024.95}, URN = {urn:nbn:de:0030-drops-196234}, doi = {10.4230/LIPIcs.ITCS.2024.95}, annote = {Keywords: Pseudorandomness, Cryptography, Natural Proofs, Nondeterminism, Lower bounds} }
Published in: LIPIcs, Volume 234, 37th Computational Complexity Conference (CCC 2022)
Erfan Khaniki. Nisan-Wigderson Generators in Proof Complexity: New Lower Bounds. In 37th Computational Complexity Conference (CCC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 234, pp. 17:1-17:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{khaniki:LIPIcs.CCC.2022.17, author = {Khaniki, Erfan}, title = {{Nisan-Wigderson Generators in Proof Complexity: New Lower Bounds}}, booktitle = {37th Computational Complexity Conference (CCC 2022)}, pages = {17:1--17:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-241-9}, ISSN = {1868-8969}, year = {2022}, volume = {234}, editor = {Lovett, Shachar}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2022.17}, URN = {urn:nbn:de:0030-drops-165799}, doi = {10.4230/LIPIcs.CCC.2022.17}, annote = {Keywords: Proof complexity, Bounded arithmetic, Bounded depth Frege, Nisan-Wigderson generators, Meta-complexity, Lower bounds} }
Published in: LIPIcs, Volume 229, 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)
Ján Pich and Rahul Santhanam. Learning Algorithms Versus Automatability of Frege Systems. In 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 229, pp. 101:1-101:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{pich_et_al:LIPIcs.ICALP.2022.101, author = {Pich, J\'{a}n and Santhanam, Rahul}, title = {{Learning Algorithms Versus Automatability of Frege Systems}}, booktitle = {49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)}, pages = {101:1--101:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-235-8}, ISSN = {1868-8969}, year = {2022}, volume = {229}, editor = {Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2022.101}, URN = {urn:nbn:de:0030-drops-164427}, doi = {10.4230/LIPIcs.ICALP.2022.101}, annote = {Keywords: learning algorithms, automatability, proof complexity} }
Published in: LIPIcs, Volume 213, 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)
Eric Allender, Mahdi Cheraghchi, Dimitrios Myrisiotis, Harsha Tirumala, and Ilya Volkovich. One-Way Functions and a Conditional Variant of MKTP. In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 213, pp. 7:1-7:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{allender_et_al:LIPIcs.FSTTCS.2021.7, author = {Allender, Eric and Cheraghchi, Mahdi and Myrisiotis, Dimitrios and Tirumala, Harsha and Volkovich, Ilya}, title = {{One-Way Functions and a Conditional Variant of MKTP}}, booktitle = {41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)}, pages = {7:1--7:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-215-0}, ISSN = {1868-8969}, year = {2021}, volume = {213}, editor = {Boja\'{n}czyk, Miko{\l}aj and Chekuri, Chandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.7}, URN = {urn:nbn:de:0030-drops-155181}, doi = {10.4230/LIPIcs.FSTTCS.2021.7}, annote = {Keywords: Kolmogorov complexity, KT Complexity, Minimum KT-complexity Problem, MKTP, Conditional KT Complexity, Minimum Conditional KT-complexity Problem, McKTP, one-way functions, OWFs, average-case hardness, pseudorandom generators, PRGs, pseudorandom functions, PRFs, distinguishers, learning algorithms, NP-completeness, reductions} }
Published in: LIPIcs, Volume 169, 35th Computational Complexity Conference (CCC 2020)
Rahul Ilango, Bruno Loff, and Igor C. Oliveira. NP-Hardness of Circuit Minimization for Multi-Output Functions. In 35th Computational Complexity Conference (CCC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 169, pp. 22:1-22:36, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{ilango_et_al:LIPIcs.CCC.2020.22, author = {Ilango, Rahul and Loff, Bruno and Oliveira, Igor C.}, title = {{NP-Hardness of Circuit Minimization for Multi-Output Functions}}, booktitle = {35th Computational Complexity Conference (CCC 2020)}, pages = {22:1--22:36}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-156-6}, ISSN = {1868-8969}, year = {2020}, volume = {169}, editor = {Saraf, Shubhangi}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2020.22}, URN = {urn:nbn:de:0030-drops-125744}, doi = {10.4230/LIPIcs.CCC.2020.22}, annote = {Keywords: MCSP, circuit minimization, communication complexity, Boolean circuit} }
Published in: LIPIcs, Volume 151, 11th Innovations in Theoretical Computer Science Conference (ITCS 2020)
Rahul Ilango. Approaching MCSP from Above and Below: Hardness for a Conditional Variant and AC^0[p]. In 11th Innovations in Theoretical Computer Science Conference (ITCS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 151, pp. 34:1-34:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{ilango:LIPIcs.ITCS.2020.34, author = {Ilango, Rahul}, title = {{Approaching MCSP from Above and Below: Hardness for a Conditional Variant and AC^0\lbrackp\rbrack}}, booktitle = {11th Innovations in Theoretical Computer Science Conference (ITCS 2020)}, pages = {34:1--34:26}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-134-4}, ISSN = {1868-8969}, year = {2020}, volume = {151}, editor = {Vidick, Thomas}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2020.34}, URN = {urn:nbn:de:0030-drops-117191}, doi = {10.4230/LIPIcs.ITCS.2020.34}, annote = {Keywords: Minimum Circuit Size Problem, reductions, NP-completeness, circuit lower bounds} }
Published in: LIPIcs, Volume 151, 11th Innovations in Theoretical Computer Science Conference (ITCS 2020)
Lijie Chen, Shuichi Hirahara, Igor C. Oliveira, Ján Pich, Ninad Rajgopal, and Rahul Santhanam. Beyond Natural Proofs: Hardness Magnification and Locality. In 11th Innovations in Theoretical Computer Science Conference (ITCS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 151, pp. 70:1-70:48, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{chen_et_al:LIPIcs.ITCS.2020.70, author = {Chen, Lijie and Hirahara, Shuichi and Oliveira, Igor C. and Pich, J\'{a}n and Rajgopal, Ninad and Santhanam, Rahul}, title = {{Beyond Natural Proofs: Hardness Magnification and Locality}}, booktitle = {11th Innovations in Theoretical Computer Science Conference (ITCS 2020)}, pages = {70:1--70:48}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-134-4}, ISSN = {1868-8969}, year = {2020}, volume = {151}, editor = {Vidick, Thomas}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2020.70}, URN = {urn:nbn:de:0030-drops-117550}, doi = {10.4230/LIPIcs.ITCS.2020.70}, annote = {Keywords: Hardness Magnification, Natural Proofs, Minimum Circuit Size Problem, Circuit Lower Bounds} }
Published in: LIPIcs, Volume 152, 28th EACSL Annual Conference on Computer Science Logic (CSL 2020)
Iddo Tzameret. From Classical Proof Theory to P versus NP: a Guide to Bounded Theories (Invited Talk). In 28th EACSL Annual Conference on Computer Science Logic (CSL 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 152, pp. 5:1-5:2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{tzameret:LIPIcs.CSL.2020.5, author = {Tzameret, Iddo}, title = {{From Classical Proof Theory to P versus NP: a Guide to Bounded Theories}}, booktitle = {28th EACSL Annual Conference on Computer Science Logic (CSL 2020)}, pages = {5:1--5:2}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-132-0}, ISSN = {1868-8969}, year = {2020}, volume = {152}, editor = {Fern\'{a}ndez, Maribel and Muscholl, Anca}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2020.5}, URN = {urn:nbn:de:0030-drops-116482}, doi = {10.4230/LIPIcs.CSL.2020.5}, annote = {Keywords: Bounded arithmetic, complexity class separations, circuit complexity, proof complexity, weak theories of arithmetic, feasible mathematics} }
Published in: LIPIcs, Volume 137, 34th Computational Complexity Conference (CCC 2019)
Igor Carboni Oliveira, Ján Pich, and Rahul Santhanam. Hardness Magnification near State-Of-The-Art Lower Bounds. In 34th Computational Complexity Conference (CCC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 137, pp. 27:1-27:29, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{oliveira_et_al:LIPIcs.CCC.2019.27, author = {Oliveira, Igor Carboni and Pich, J\'{a}n and Santhanam, Rahul}, title = {{Hardness Magnification near State-Of-The-Art Lower Bounds}}, booktitle = {34th Computational Complexity Conference (CCC 2019)}, pages = {27:1--27:29}, 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.2019.27}, URN = {urn:nbn:de:0030-drops-108494}, doi = {10.4230/LIPIcs.CCC.2019.27}, annote = {Keywords: Circuit Complexity, Minimum Circuit Size Problem, Kolmogorov Complexity} }
Published in: LIPIcs, Volume 132, 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Igor Carboni Oliveira. Randomness and Intractability in Kolmogorov Complexity. In 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 132, pp. 32:1-32:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{oliveira:LIPIcs.ICALP.2019.32, author = {Oliveira, Igor Carboni}, title = {{Randomness and Intractability in Kolmogorov Complexity}}, booktitle = {46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)}, pages = {32:1--32:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-109-2}, ISSN = {1868-8969}, year = {2019}, volume = {132}, editor = {Baier, Christel and Chatzigiannakis, Ioannis and Flocchini, Paola and Leonardi, Stefano}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2019.32}, URN = {urn:nbn:de:0030-drops-106087}, doi = {10.4230/LIPIcs.ICALP.2019.32}, annote = {Keywords: computational complexity, randomness, circuit lower bounds, Kolmogorov complexity} }
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