Published in: LIPIcs, Volume 234, 37th Computational Complexity Conference (CCC 2022)
Michael Saks and Rahul Santhanam. On Randomized Reductions to the Random Strings. In 37th Computational Complexity Conference (CCC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 234, pp. 29:1-29:30, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{saks_et_al:LIPIcs.CCC.2022.29, author = {Saks, Michael and Santhanam, Rahul}, title = {{On Randomized Reductions to the Random Strings}}, booktitle = {37th Computational Complexity Conference (CCC 2022)}, pages = {29:1--29:30}, 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.2022.29}, URN = {urn:nbn:de:0030-drops-165912}, doi = {10.4230/LIPIcs.CCC.2022.29}, annote = {Keywords: Kolmogorov complexity, randomized reductions} }
Published in: LIPIcs, Volume 234, 37th Computational Complexity Conference (CCC 2022)
Yanyi Liu and Rafael Pass. On One-Way Functions from NP-Complete Problems. In 37th Computational Complexity Conference (CCC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 234, pp. 36:1-36:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{liu_et_al:LIPIcs.CCC.2022.36, author = {Liu, Yanyi and Pass, Rafael}, title = {{On One-Way Functions from NP-Complete Problems}}, booktitle = {37th Computational Complexity Conference (CCC 2022)}, pages = {36:1--36:24}, 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.2022.36}, URN = {urn:nbn:de:0030-drops-165981}, doi = {10.4230/LIPIcs.CCC.2022.36}, annote = {Keywords: One-way Functions, NP-Completeness, Kolmogorov Complexity} }
Published in: LIPIcs, Volume 215, 13th Innovations in Theoretical Computer Science Conference (ITCS 2022)
Lijie Chen, Shuichi Hirahara, and Neekon Vafa. Average-Case Hardness of NP and PH from Worst-Case Fine-Grained Assumptions. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 45:1-45:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{chen_et_al:LIPIcs.ITCS.2022.45, author = {Chen, Lijie and Hirahara, Shuichi and Vafa, Neekon}, title = {{Average-Case Hardness of NP and PH from Worst-Case Fine-Grained Assumptions}}, booktitle = {13th Innovations in Theoretical Computer Science Conference (ITCS 2022)}, pages = {45:1--45:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-217-4}, ISSN = {1868-8969}, year = {2022}, volume = {215}, editor = {Braverman, Mark}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2022.45}, URN = {urn:nbn:de:0030-drops-156411}, doi = {10.4230/LIPIcs.ITCS.2022.45}, annote = {Keywords: Average-case complexity, worst-case to average-case reduction} }
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 200, 36th Computational Complexity Conference (CCC 2021)
Shuichi Hirahara, Rahul Ilango, and Bruno Loff. Hardness of Constant-Round Communication Complexity. In 36th Computational Complexity Conference (CCC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 200, pp. 31:1-31:30, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{hirahara_et_al:LIPIcs.CCC.2021.31, author = {Hirahara, Shuichi and Ilango, Rahul and Loff, Bruno}, title = {{Hardness of Constant-Round Communication Complexity}}, booktitle = {36th Computational Complexity Conference (CCC 2021)}, pages = {31:1--31:30}, 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.2021.31}, URN = {urn:nbn:de:0030-drops-143055}, doi = {10.4230/LIPIcs.CCC.2021.31}, annote = {Keywords: NP-completeness, Communication Complexity, Round Elimination Lemma, Meta-Complexity} }
Published in: LIPIcs, Volume 198, 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021)
Zhenjian Lu and Igor C. Oliveira. An Efficient Coding Theorem via Probabilistic Representations and Its Applications. In 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 198, pp. 94:1-94:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{lu_et_al:LIPIcs.ICALP.2021.94, author = {Lu, Zhenjian and Oliveira, Igor C.}, title = {{An Efficient Coding Theorem via Probabilistic Representations and Its Applications}}, booktitle = {48th International Colloquium on Automata, Languages, and Programming (ICALP 2021)}, pages = {94:1--94:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-195-5}, ISSN = {1868-8969}, year = {2021}, volume = {198}, editor = {Bansal, Nikhil and Merelli, Emanuela and Worrell, James}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2021.94}, URN = {urn:nbn:de:0030-drops-141630}, doi = {10.4230/LIPIcs.ICALP.2021.94}, annote = {Keywords: computational complexity, randomized algorithms, Kolmogorov complexity} }
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 169, 35th Computational Complexity Conference (CCC 2020)
Rahul Ilango. Connecting Perebor Conjectures: Towards a Search to Decision Reduction for Minimizing Formulas. In 35th Computational Complexity Conference (CCC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 169, pp. 31:1-31:35, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{ilango:LIPIcs.CCC.2020.31, author = {Ilango, Rahul}, title = {{Connecting Perebor Conjectures: Towards a Search to Decision Reduction for Minimizing Formulas}}, booktitle = {35th Computational Complexity Conference (CCC 2020)}, pages = {31:1--31:35}, 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.2020.31}, URN = {urn:nbn:de:0030-drops-125834}, doi = {10.4230/LIPIcs.CCC.2020.31}, annote = {Keywords: minimum circuit size problem, minimum formula size problem, gate elimination, search to decision reduction, self-reducibility} }
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 132, 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Alexander Golovnev, Rahul Ilango, Russell Impagliazzo, Valentine Kabanets, Antonina Kolokolova, and Avishay Tal. AC^0[p] Lower Bounds Against MCSP via the Coin Problem. In 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 132, pp. 66:1-66:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{golovnev_et_al:LIPIcs.ICALP.2019.66, author = {Golovnev, Alexander and Ilango, Rahul and Impagliazzo, Russell and Kabanets, Valentine and Kolokolova, Antonina and Tal, Avishay}, title = {{AC^0\lbrackp\rbrack Lower Bounds Against MCSP via the Coin Problem}}, booktitle = {46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)}, pages = {66:1--66:15}, 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.2019.66}, URN = {urn:nbn:de:0030-drops-106422}, doi = {10.4230/LIPIcs.ICALP.2019.66}, annote = {Keywords: Minimum Circuit Size Problem (MCSP), circuit lower bounds, AC0\lbrackp\rbrack, coin problem, hybrid argument, MKTP, biased random boolean functions} }
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