--- _id: '12171' abstract: - lang: eng text: 'We propose an algorithmic approach for synthesizing linear hybrid automata from time-series data. Unlike existing approaches, our approach provides a whole family of models with the same discrete structure but different dynamics. Each model in the family is guaranteed to capture the input data up to a precision error ε, in the following sense: For each time series, the model contains an execution that is ε-close to the data points. Our construction allows to effectively choose a model from this family with minimal precision error ε. We demonstrate the algorithm’s efficiency and its ability to find precise models in two case studies.' acknowledgement: This work was supported in part by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 847635, by the ERC-2020-AdG 101020093, by DIREC - Digital Research Centre Denmark, and by the Villum Investigator Grant S4OS. alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Miriam full_name: Garcia Soto, Miriam id: 4B3207F6-F248-11E8-B48F-1D18A9856A87 last_name: Garcia Soto orcid: 0000-0003-2936-5719 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Christian full_name: Schilling, Christian id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87 last_name: Schilling orcid: 0000-0003-3658-1065 citation: ama: 'Garcia Soto M, Henzinger TA, Schilling C. Synthesis of parametric hybrid automata from time series. In: 20th International Symposium on Automated Technology for Verification and Analysis. Vol 13505. Springer Nature; 2022:337-353. doi:10.1007/978-3-031-19992-9_22' apa: 'Garcia Soto, M., Henzinger, T. A., & Schilling, C. (2022). Synthesis of parametric hybrid automata from time series. In 20th International Symposium on Automated Technology for Verification and Analysis (Vol. 13505, pp. 337–353). Virtual: Springer Nature. https://doi.org/10.1007/978-3-031-19992-9_22' chicago: Garcia Soto, Miriam, Thomas A Henzinger, and Christian Schilling. “Synthesis of Parametric Hybrid Automata from Time Series.” In 20th International Symposium on Automated Technology for Verification and Analysis, 13505:337–53. Springer Nature, 2022. https://doi.org/10.1007/978-3-031-19992-9_22. ieee: M. Garcia Soto, T. A. Henzinger, and C. Schilling, “Synthesis of parametric hybrid automata from time series,” in 20th International Symposium on Automated Technology for Verification and Analysis, Virtual, 2022, vol. 13505, pp. 337–353. ista: 'Garcia Soto M, Henzinger TA, Schilling C. 2022. Synthesis of parametric hybrid automata from time series. 20th International Symposium on Automated Technology for Verification and Analysis. ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 13505, 337–353.' mla: Garcia Soto, Miriam, et al. “Synthesis of Parametric Hybrid Automata from Time Series.” 20th International Symposium on Automated Technology for Verification and Analysis, vol. 13505, Springer Nature, 2022, pp. 337–53, doi:10.1007/978-3-031-19992-9_22. short: M. Garcia Soto, T.A. Henzinger, C. Schilling, in:, 20th International Symposium on Automated Technology for Verification and Analysis, Springer Nature, 2022, pp. 337–353. conference: end_date: 2022-10-28 location: Virtual name: 'ATVA: Automated Technology for Verification and Analysis' start_date: 2022-10-25 date_created: 2023-01-12T12:11:16Z date_published: 2022-10-21T00:00:00Z date_updated: 2023-02-13T09:27:55Z day: '21' department: - _id: ToHe doi: 10.1007/978-3-031-19992-9_22 ec_funded: 1 external_id: arxiv: - '2208.06383' intvolume: ' 13505' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2208.06383 month: '10' oa: 1 oa_version: Preprint page: 337-353 project: - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software publication: 20th International Symposium on Automated Technology for Verification and Analysis publication_identifier: eisbn: - '9783031199929' eissn: - 1611-3349 isbn: - '9783031199912' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Synthesis of parametric hybrid automata from time series type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 13505 year: '2022' ... --- _id: '12175' abstract: - lang: eng text: An automaton is history-deterministic (HD) if one can safely resolve its non-deterministic choices on the fly. In a recent paper, Henzinger, Lehtinen and Totzke studied this in the context of Timed Automata [9], where it was conjectured that the class of timed ω-languages recognised by HD-timed automata strictly extends that of deterministic ones. We provide a proof for this fact. acknowledgement: This work was supported in part by the ERC-2020-AdG 101020093, the EPSRC project EP/V025848/1, and the EPSRC project EP/X017796/1. alternative_title: - LNCS article_processing_charge: No author: - first_name: Sougata full_name: Bose, Sougata last_name: Bose - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Karoliina full_name: Lehtinen, Karoliina last_name: Lehtinen - first_name: Sven full_name: Schewe, Sven last_name: Schewe - first_name: Patrick full_name: Totzke, Patrick last_name: Totzke citation: ama: 'Bose S, Henzinger TA, Lehtinen K, Schewe S, Totzke P. History-deterministic timed automata are not determinizable. In: 16th International Conference on Reachability Problems. Vol 13608. Springer Nature; 2022:67-76. doi:10.1007/978-3-031-19135-0_5' apa: 'Bose, S., Henzinger, T. A., Lehtinen, K., Schewe, S., & Totzke, P. (2022). History-deterministic timed automata are not determinizable. In 16th International Conference on Reachability Problems (Vol. 13608, pp. 67–76). Kaiserslautern, Germany: Springer Nature. https://doi.org/10.1007/978-3-031-19135-0_5' chicago: Bose, Sougata, Thomas A Henzinger, Karoliina Lehtinen, Sven Schewe, and Patrick Totzke. “History-Deterministic Timed Automata Are Not Determinizable.” In 16th International Conference on Reachability Problems, 13608:67–76. Springer Nature, 2022. https://doi.org/10.1007/978-3-031-19135-0_5. ieee: S. Bose, T. A. Henzinger, K. Lehtinen, S. Schewe, and P. Totzke, “History-deterministic timed automata are not determinizable,” in 16th International Conference on Reachability Problems, Kaiserslautern, Germany, 2022, vol. 13608, pp. 67–76. ista: 'Bose S, Henzinger TA, Lehtinen K, Schewe S, Totzke P. 2022. History-deterministic timed automata are not determinizable. 16th International Conference on Reachability Problems. RC: Reachability Problems, LNCS, vol. 13608, 67–76.' mla: Bose, Sougata, et al. “History-Deterministic Timed Automata Are Not Determinizable.” 16th International Conference on Reachability Problems, vol. 13608, Springer Nature, 2022, pp. 67–76, doi:10.1007/978-3-031-19135-0_5. short: S. Bose, T.A. Henzinger, K. Lehtinen, S. Schewe, P. Totzke, in:, 16th International Conference on Reachability Problems, Springer Nature, 2022, pp. 67–76. conference: end_date: 2022-10-21 location: Kaiserslautern, Germany name: 'RC: Reachability Problems' start_date: 2022-10-17 date_created: 2023-01-12T12:11:57Z date_published: 2022-10-12T00:00:00Z date_updated: 2023-09-05T15:12:08Z day: '12' department: - _id: ToHe doi: 10.1007/978-3-031-19135-0_5 ec_funded: 1 intvolume: ' 13608' language: - iso: eng main_file_link: - open_access: '1' url: https://hal.science/hal-03849398/ month: '10' oa: 1 oa_version: Preprint page: 67-76 project: - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software publication: 16th International Conference on Reachability Problems publication_identifier: eisbn: - '9783031191350' eissn: - 1611-3349 isbn: - '9783031191343' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: History-deterministic timed automata are not determinizable type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 13608 year: '2022' ... --- _id: '12302' abstract: - lang: eng text: 'We propose a novel algorithm to decide the language inclusion between (nondeterministic) Büchi automata, a PSPACE-complete problem. Our approach, like others before, leverage a notion of quasiorder to prune the search for a counterexample by discarding candidates which are subsumed by others for the quasiorder. Discarded candidates are guaranteed to not compromise the completeness of the algorithm. The novelty of our work lies in the quasiorder used to discard candidates. We introduce FORQs (family of right quasiorders) that we obtain by adapting the notion of family of right congruences put forward by Maler and Staiger in 1993. We define a FORQ-based inclusion algorithm which we prove correct and instantiate it for a specific FORQ, called the structural FORQ, induced by the Büchi automaton to the right of the inclusion sign. The resulting implementation, called FORKLIFT, scales up better than the state-of-the-art on a variety of benchmarks including benchmarks from program verification and theorem proving for word combinatorics. Artifact: https://doi.org/10.5281/zenodo.6552870' acknowledgement: This work was partially funded by the ESF Investing in your future, the Madrid regional project S2018/TCS-4339 BLOQUES, the Spanish project PGC2018-102210-B-I00 BOSCO, the Ramón y Cajal fellowship RYC-2016-20281, and the ERC grant PR1001ERC02. alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Kyveli full_name: Doveri, Kyveli last_name: Doveri - first_name: Pierre full_name: Ganty, Pierre last_name: Ganty - first_name: Nicolas Adrien full_name: Mazzocchi, Nicolas Adrien id: b26baa86-3308-11ec-87b0-8990f34baa85 last_name: Mazzocchi citation: ama: 'Doveri K, Ganty P, Mazzocchi NA. FORQ-based language inclusion formal testing. In: Computer Aided Verification. Vol 13372. Springer Nature; 2022:109-129. doi:10.1007/978-3-031-13188-2_6' apa: 'Doveri, K., Ganty, P., & Mazzocchi, N. A. (2022). FORQ-based language inclusion formal testing. In Computer Aided Verification (Vol. 13372, pp. 109–129). Haifa, Israel: Springer Nature. https://doi.org/10.1007/978-3-031-13188-2_6' chicago: Doveri, Kyveli, Pierre Ganty, and Nicolas Adrien Mazzocchi. “FORQ-Based Language Inclusion Formal Testing.” In Computer Aided Verification, 13372:109–29. Springer Nature, 2022. https://doi.org/10.1007/978-3-031-13188-2_6. ieee: K. Doveri, P. Ganty, and N. A. Mazzocchi, “FORQ-based language inclusion formal testing,” in Computer Aided Verification, Haifa, Israel, 2022, vol. 13372, pp. 109–129. ista: 'Doveri K, Ganty P, Mazzocchi NA. 2022. FORQ-based language inclusion formal testing. Computer Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 13372, 109–129.' mla: Doveri, Kyveli, et al. “FORQ-Based Language Inclusion Formal Testing.” Computer Aided Verification, vol. 13372, Springer Nature, 2022, pp. 109–29, doi:10.1007/978-3-031-13188-2_6. short: K. Doveri, P. Ganty, N.A. Mazzocchi, in:, Computer Aided Verification, Springer Nature, 2022, pp. 109–129. conference: end_date: 2022-08-10 location: Haifa, Israel name: 'CAV: Computer Aided Verification' start_date: 2022-08-07 date_created: 2023-01-16T10:06:31Z date_published: 2022-08-06T00:00:00Z date_updated: 2023-09-05T15:13:36Z day: '06' ddc: - '000' department: - _id: ToHe doi: 10.1007/978-3-031-13188-2_6 ec_funded: 1 external_id: arxiv: - '2207.13549' isi: - '000870310500006' file: - access_level: open_access checksum: edc363b1be5447a09063e115c247918a content_type: application/pdf creator: dernst date_created: 2023-01-30T12:51:02Z date_updated: 2023-01-30T12:51:02Z file_id: '12465' file_name: 2022_LNCS_Doveri.pdf file_size: 497682 relation: main_file success: 1 file_date_updated: 2023-01-30T12:51:02Z has_accepted_license: '1' intvolume: ' 13372' isi: 1 language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: 109-129 project: - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software publication: Computer Aided Verification publication_identifier: eisbn: - '9783031131882' eissn: - 1611-3349 isbn: - '9783031131875' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: FORQ-based language inclusion formal testing tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 13372 year: '2022' ... --- _id: '12508' abstract: - lang: eng text: "We explore the notion of history-determinism in the context of timed automata (TA). History-deterministic automata are those in which nondeterminism can be resolved on the fly, based on the run constructed thus far. History-determinism is a robust property that admits different game-based characterisations, and history-deterministic specifications allow for game-based verification without an expensive determinization step.\r\nWe show yet another characterisation of history-determinism in terms of fair simulation, at the general level of labelled transition systems: a system is history-deterministic precisely if and only if it fairly simulates all language smaller systems.\r\nFor timed automata over infinite timed words it is known that universality is undecidable for Büchi TA. We show that for history-deterministic TA with arbitrary parity acceptance, timed universality, inclusion, and synthesis all remain decidable and are ExpTime-complete.\r\nFor the subclass of TA with safety or reachability acceptance, we show that checking whether such an automaton is history-deterministic is decidable (in ExpTime), and history-deterministic TA with safety acceptance are effectively determinizable without introducing new automata states." acknowledgement: "Thomas A. Henzinger: This work was supported in part by the ERC-2020-AdG 101020093.\r\nPatrick Totzke: acknowledges support from the EPSRC, project no. EP/V025848/1.\r\n" alternative_title: - LIPIcs article_processing_charge: No author: - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Karoliina full_name: Lehtinen, Karoliina last_name: Lehtinen - first_name: Patrick full_name: Totzke, Patrick last_name: Totzke citation: ama: 'Henzinger TA, Lehtinen K, Totzke P. History-deterministic timed automata. In: 33rd International Conference on Concurrency Theory. Vol 243. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022:14:1-14:21. doi:10.4230/LIPIcs.CONCUR.2022.14' apa: 'Henzinger, T. A., Lehtinen, K., & Totzke, P. (2022). History-deterministic timed automata. In 33rd International Conference on Concurrency Theory (Vol. 243, p. 14:1-14:21). Warsaw, Poland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2022.14' chicago: Henzinger, Thomas A, Karoliina Lehtinen, and Patrick Totzke. “History-Deterministic Timed Automata.” In 33rd International Conference on Concurrency Theory, 243:14:1-14:21. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.CONCUR.2022.14. ieee: T. A. Henzinger, K. Lehtinen, and P. Totzke, “History-deterministic timed automata,” in 33rd International Conference on Concurrency Theory, Warsaw, Poland, 2022, vol. 243, p. 14:1-14:21. ista: 'Henzinger TA, Lehtinen K, Totzke P. 2022. History-deterministic timed automata. 33rd International Conference on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol. 243, 14:1-14:21.' mla: Henzinger, Thomas A., et al. “History-Deterministic Timed Automata.” 33rd International Conference on Concurrency Theory, vol. 243, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 14:1-14:21, doi:10.4230/LIPIcs.CONCUR.2022.14. short: T.A. Henzinger, K. Lehtinen, P. Totzke, in:, 33rd International Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 14:1-14:21. conference: end_date: 2022-09-16 location: Warsaw, Poland name: 'CONCUR: Conference on Concurrency Theory' start_date: 2022-09-13 date_created: 2023-02-05T17:24:23Z date_published: 2022-09-06T00:00:00Z date_updated: 2023-02-06T09:23:31Z day: '06' ddc: - '000' department: - _id: ToHe doi: 10.4230/LIPIcs.CONCUR.2022.14 ec_funded: 1 file: - access_level: open_access checksum: 9e97e15628f66b2ad77f535bb0327dee content_type: application/pdf creator: dernst date_created: 2023-02-06T09:21:09Z date_updated: 2023-02-06T09:21:09Z file_id: '12520' file_name: 2022_LIPICs_Henzinger2.pdf file_size: 717940 relation: main_file success: 1 file_date_updated: 2023-02-06T09:21:09Z has_accepted_license: '1' intvolume: ' 243' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: 14:1-14:21 project: - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software publication: 33rd International Conference on Concurrency Theory publication_identifier: isbn: - '9783959772464' issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: History-deterministic timed automata tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 243 year: '2022' ... --- _id: '12509' abstract: - lang: eng text: A graph game is a two-player zero-sum game in which the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game. In bidding games, both players have budgets, and in each turn, we hold an "auction" (bidding) to determine which player moves the token. In this survey, we consider several bidding mechanisms and their effect on the properties of the game. Specifically, bidding games, and in particular bidding games of infinite duration, have an intriguing equivalence with random-turn games in which in each turn, the player who moves is chosen randomly. We summarize how minor changes in the bidding mechanism lead to unexpected differences in the equivalence with random-turn games. acknowledgement: "Guy Avni: Work partially supported by the Israel Science Foundation, ISF grant agreement\r\nno 1679/21.\r\nThomas A. Henzinger: This work was supported in part by the ERC-2020-AdG 101020093.\r\nWe would like to thank all our collaborators Milad Aghajohari, Ventsislav Chonev, Rasmus Ibsen-Jensen, Ismäel Jecker, Petr Novotný, Josef Tkadlec, and Ðorđe Žikelić; we hope the collaboration was as fun and meaningful for you as it was for us." article_processing_charge: No author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 citation: ama: 'Avni G, Henzinger TA. An updated survey of bidding games on graphs. In: 47th International Symposium on Mathematical Foundations of Computer Science. Vol 241. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022:3:1-3:6. doi:10.4230/LIPIcs.MFCS.2022.3' apa: 'Avni, G., & Henzinger, T. A. (2022). An updated survey of bidding games on graphs. In 47th International Symposium on Mathematical Foundations of Computer Science (Vol. 241, p. 3:1-3:6). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2022.3' chicago: 'Avni, Guy, and Thomas A Henzinger. “An Updated Survey of Bidding Games on Graphs.” In 47th International Symposium on Mathematical Foundations of Computer Science, 241:3:1-3:6. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.MFCS.2022.3.' ieee: G. Avni and T. A. Henzinger, “An updated survey of bidding games on graphs,” in 47th International Symposium on Mathematical Foundations of Computer Science, Vienna, Austria, 2022, vol. 241, p. 3:1-3:6. ista: 'Avni G, Henzinger TA. 2022. An updated survey of bidding games on graphs. 47th International Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of Computer ScienceLeibniz International Proceedings in Informatics (LIPIcs) vol. 241, 3:1-3:6.' mla: Avni, Guy, and Thomas A. Henzinger. “An Updated Survey of Bidding Games on Graphs.” 47th International Symposium on Mathematical Foundations of Computer Science, vol. 241, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 3:1-3:6, doi:10.4230/LIPIcs.MFCS.2022.3. short: G. Avni, T.A. Henzinger, in:, 47th International Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2022, p. 3:1-3:6. conference: end_date: 2022-08-26 location: Vienna, Austria name: 'MFCS: Symposium on Mathematical Foundations of Computer Science' start_date: 2022-08-22 date_created: 2023-02-05T17:26:01Z date_published: 2022-08-22T00:00:00Z date_updated: 2023-02-06T09:16:54Z day: '22' ddc: - '000' department: - _id: ToHe doi: 10.4230/LIPIcs.MFCS.2022.3 ec_funded: 1 file: - access_level: open_access checksum: 1888ec9421622f9526fbec2de035f132 content_type: application/pdf creator: dernst date_created: 2023-02-06T09:13:04Z date_updated: 2023-02-06T09:13:04Z file_id: '12519' file_name: 2022_LIPICs_Avni.pdf file_size: 624586 relation: main_file success: 1 file_date_updated: 2023-02-06T09:13:04Z has_accepted_license: '1' intvolume: ' 241' language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: 3:1-3:6 place: Dagstuhl, Germany project: - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software publication: 47th International Symposium on Mathematical Foundations of Computer Science publication_identifier: isbn: - '9783959772563' issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' series_title: Leibniz International Proceedings in Informatics (LIPIcs) status: public title: An updated survey of bidding games on graphs tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 241 year: '2022' ... --- _id: '12510' abstract: - lang: eng text: "We introduce a new statistical verification algorithm that formally quantifies the behavioral robustness of any time-continuous process formulated as a continuous-depth model. Our algorithm solves a set of global optimization (Go) problems over a given time horizon to construct a tight enclosure (Tube) of the set of all process executions starting from a ball of initial states. We call our algorithm GoTube. Through its construction, GoTube ensures that the bounding tube is conservative up to a desired probability and up to a desired tightness.\r\n GoTube is implemented in JAX and optimized to scale to complex continuous-depth neural network models. Compared to advanced reachability analysis tools for time-continuous neural networks, GoTube does not accumulate overapproximation errors between time steps and avoids the infamous wrapping effect inherent in symbolic techniques. We show that GoTube substantially outperforms state-of-the-art verification tools in terms of the size of the initial ball, speed, time-horizon, task completion, and scalability on a large set of experiments.\r\n GoTube is stable and sets the state-of-the-art in terms of its ability to scale to time horizons well beyond what has been previously possible." acknowledgement: SG is funded by the Austrian Science Fund (FWF) project number W1255-N23. ML and TH are supported in part by FWF under grant Z211-N23 (Wittgenstein Award) and the ERC-2020-AdG 101020093. SS is supported by NSF awards DCL-2040599, CCF-1918225, and CPS-1446832. RH and DR are partially supported by Boeing. RG is partially supported by Horizon-2020 ECSEL Project grant No. 783163 (iDev40). article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Sophie A. full_name: Gruenbacher, Sophie A. last_name: Gruenbacher - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Ramin full_name: Hasani, Ramin last_name: Hasani - first_name: Daniela full_name: Rus, Daniela last_name: Rus - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Scott A. full_name: Smolka, Scott A. last_name: Smolka - first_name: Radu full_name: Grosu, Radu last_name: Grosu citation: ama: 'Gruenbacher SA, Lechner M, Hasani R, et al. GoTube: Scalable statistical verification of continuous-depth models. Proceedings of the AAAI Conference on Artificial Intelligence. 2022;36(6):6755-6764. doi:10.1609/aaai.v36i6.20631' apa: 'Gruenbacher, S. A., Lechner, M., Hasani, R., Rus, D., Henzinger, T. A., Smolka, S. A., & Grosu, R. (2022). GoTube: Scalable statistical verification of continuous-depth models. Proceedings of the AAAI Conference on Artificial Intelligence. Association for the Advancement of Artificial Intelligence. https://doi.org/10.1609/aaai.v36i6.20631' chicago: 'Gruenbacher, Sophie A., Mathias Lechner, Ramin Hasani, Daniela Rus, Thomas A Henzinger, Scott A. Smolka, and Radu Grosu. “GoTube: Scalable Statistical Verification of Continuous-Depth Models.” Proceedings of the AAAI Conference on Artificial Intelligence. Association for the Advancement of Artificial Intelligence, 2022. https://doi.org/10.1609/aaai.v36i6.20631.' ieee: 'S. A. Gruenbacher et al., “GoTube: Scalable statistical verification of continuous-depth models,” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 36, no. 6. Association for the Advancement of Artificial Intelligence, pp. 6755–6764, 2022.' ista: 'Gruenbacher SA, Lechner M, Hasani R, Rus D, Henzinger TA, Smolka SA, Grosu R. 2022. GoTube: Scalable statistical verification of continuous-depth models. Proceedings of the AAAI Conference on Artificial Intelligence. 36(6), 6755–6764.' mla: 'Gruenbacher, Sophie A., et al. “GoTube: Scalable Statistical Verification of Continuous-Depth Models.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 36, no. 6, Association for the Advancement of Artificial Intelligence, 2022, pp. 6755–64, doi:10.1609/aaai.v36i6.20631.' short: S.A. Gruenbacher, M. Lechner, R. Hasani, D. Rus, T.A. Henzinger, S.A. Smolka, R. Grosu, Proceedings of the AAAI Conference on Artificial Intelligence 36 (2022) 6755–6764. date_created: 2023-02-05T17:27:42Z date_published: 2022-06-28T00:00:00Z date_updated: 2023-09-26T10:46:59Z day: '28' department: - _id: ToHe doi: 10.1609/aaai.v36i6.20631 ec_funded: 1 external_id: arxiv: - '2107.08467' intvolume: ' 36' issue: '6' keyword: - General Medicine language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2107.08467 month: '06' oa: 1 oa_version: Preprint page: 6755-6764 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software publication: Proceedings of the AAAI Conference on Artificial Intelligence publication_identifier: eissn: - 2374-3468 isbn: - '978577358350' issn: - 2159-5399 publication_status: published publisher: Association for the Advancement of Artificial Intelligence quality_controlled: '1' scopus_import: '1' status: public title: 'GoTube: Scalable statistical verification of continuous-depth models' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 36 year: '2022' ... --- _id: '12511' abstract: - lang: eng text: "We consider the problem of formally verifying almost-sure (a.s.) asymptotic stability in discrete-time nonlinear stochastic control systems. While verifying stability in deterministic control systems is extensively studied in the literature, verifying stability in stochastic control systems is an open problem. The few existing works on this topic either consider only specialized forms of stochasticity or make restrictive assumptions on the system, rendering them inapplicable to learning algorithms with neural network policies. \r\n In this work, we present an approach for general nonlinear stochastic control problems with two novel aspects: (a) instead of classical stochastic extensions of Lyapunov functions, we use ranking supermartingales (RSMs) to certify a.s. asymptotic stability, and (b) we present a method for learning neural network RSMs. \r\n We prove that our approach guarantees a.s. asymptotic stability of the system and\r\n provides the first method to obtain bounds on the stabilization time, which stochastic Lyapunov functions do not.\r\n Finally, we validate our approach experimentally on a set of nonlinear stochastic reinforcement learning environments with neural network policies." acknowledgement: "This work was supported in part by the ERC-2020-AdG 101020093, ERC CoG 863818 (FoRM-SMArt) and the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie Grant Agreement No. 665385." article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic orcid: 0000-0002-4681-1699 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 citation: ama: Lechner M, Zikelic D, Chatterjee K, Henzinger TA. Stability verification in stochastic control systems via neural network supermartingales. Proceedings of the AAAI Conference on Artificial Intelligence. 2022;36(7):7326-7336. doi:10.1609/aaai.v36i7.20695 apa: Lechner, M., Zikelic, D., Chatterjee, K., & Henzinger, T. A. (2022). Stability verification in stochastic control systems via neural network supermartingales. Proceedings of the AAAI Conference on Artificial Intelligence. Association for the Advancement of Artificial Intelligence. https://doi.org/10.1609/aaai.v36i7.20695 chicago: Lechner, Mathias, Dorde Zikelic, Krishnendu Chatterjee, and Thomas A Henzinger. “Stability Verification in Stochastic Control Systems via Neural Network Supermartingales.” Proceedings of the AAAI Conference on Artificial Intelligence. Association for the Advancement of Artificial Intelligence, 2022. https://doi.org/10.1609/aaai.v36i7.20695. ieee: M. Lechner, D. Zikelic, K. Chatterjee, and T. A. Henzinger, “Stability verification in stochastic control systems via neural network supermartingales,” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 36, no. 7. Association for the Advancement of Artificial Intelligence, pp. 7326–7336, 2022. ista: Lechner M, Zikelic D, Chatterjee K, Henzinger TA. 2022. Stability verification in stochastic control systems via neural network supermartingales. Proceedings of the AAAI Conference on Artificial Intelligence. 36(7), 7326–7336. mla: Lechner, Mathias, et al. “Stability Verification in Stochastic Control Systems via Neural Network Supermartingales.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 36, no. 7, Association for the Advancement of Artificial Intelligence, 2022, pp. 7326–36, doi:10.1609/aaai.v36i7.20695. short: M. Lechner, D. Zikelic, K. Chatterjee, T.A. Henzinger, Proceedings of the AAAI Conference on Artificial Intelligence 36 (2022) 7326–7336. date_created: 2023-02-05T17:29:50Z date_published: 2022-06-28T00:00:00Z date_updated: 2025-07-14T09:09:58Z day: '28' department: - _id: ToHe - _id: KrCh doi: 10.1609/aaai.v36i7.20695 ec_funded: 1 external_id: arxiv: - '2112.09495' intvolume: ' 36' issue: '7' keyword: - General Medicine language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2112.09495 month: '06' oa: 1 oa_version: Preprint page: 7326-7336 project: - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication: Proceedings of the AAAI Conference on Artificial Intelligence publication_identifier: eissn: - 2374-3468 isbn: - '9781577358350' issn: - 2159-5399 publication_status: published publisher: Association for the Advancement of Artificial Intelligence quality_controlled: '1' related_material: record: - id: '14539' relation: dissertation_contains status: public scopus_import: '1' status: public title: Stability verification in stochastic control systems via neural network supermartingales type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 36 year: '2022' ... --- _id: '10665' abstract: - lang: eng text: "Formal verification of neural networks is an active topic of research, and recent advances have significantly increased the size of the networks that verification tools can handle. However, most methods are designed for verification of an idealized model of the actual network which works over real arithmetic and ignores rounding imprecisions. This idealization is in stark contrast to network quantization, which is a technique that trades numerical precision for computational efficiency and is, therefore, often applied in practice. Neglecting rounding errors of such low-bit quantized neural networks has been shown to lead to wrong conclusions about the network’s correctness. Thus, the desired approach for verifying quantized neural networks would be one that takes these rounding errors\r\ninto account. In this paper, we show that verifying the bitexact implementation of quantized neural networks with bitvector specifications is PSPACE-hard, even though verifying idealized real-valued networks and satisfiability of bit-vector specifications alone are each in NP. Furthermore, we explore several practical heuristics toward closing the complexity gap between idealized and bit-exact verification. In particular, we propose three techniques for making SMT-based verification of quantized neural networks more scalable. Our experiments demonstrate that our proposed methods allow a speedup of up to three orders of magnitude over existing approaches." acknowledgement: "This research was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein\r\nAward), ERC CoG 863818 (FoRM-SMArt), and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385.\r\n" alternative_title: - Technical Tracks article_processing_charge: No arxiv: 1 author: - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic orcid: 0000-0002-4681-1699 citation: ama: 'Henzinger TA, Lechner M, Zikelic D. Scalable verification of quantized neural networks. In: Proceedings of the AAAI Conference on Artificial Intelligence. Vol 35. AAAI Press; 2021:3787-3795.' apa: 'Henzinger, T. A., Lechner, M., & Zikelic, D. (2021). Scalable verification of quantized neural networks. In Proceedings of the AAAI Conference on Artificial Intelligence (Vol. 35, pp. 3787–3795). Virtual: AAAI Press.' chicago: Henzinger, Thomas A, Mathias Lechner, and Dorde Zikelic. “Scalable Verification of Quantized Neural Networks.” In Proceedings of the AAAI Conference on Artificial Intelligence, 35:3787–95. AAAI Press, 2021. ieee: T. A. Henzinger, M. Lechner, and D. Zikelic, “Scalable verification of quantized neural networks,” in Proceedings of the AAAI Conference on Artificial Intelligence, Virtual, 2021, vol. 35, no. 5A, pp. 3787–3795. ista: 'Henzinger TA, Lechner M, Zikelic D. 2021. Scalable verification of quantized neural networks. Proceedings of the AAAI Conference on Artificial Intelligence. AAAI: Association for the Advancement of Artificial Intelligence, Technical Tracks, vol. 35, 3787–3795.' mla: Henzinger, Thomas A., et al. “Scalable Verification of Quantized Neural Networks.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 35, no. 5A, AAAI Press, 2021, pp. 3787–95. short: T.A. Henzinger, M. Lechner, D. Zikelic, in:, Proceedings of the AAAI Conference on Artificial Intelligence, AAAI Press, 2021, pp. 3787–3795. conference: end_date: 2021-02-09 location: Virtual name: 'AAAI: Association for the Advancement of Artificial Intelligence' start_date: 2021-02-02 date_created: 2022-01-25T15:15:02Z date_published: 2021-05-28T00:00:00Z date_updated: 2025-07-14T09:10:11Z day: '28' ddc: - '000' department: - _id: GradSch - _id: ToHe ec_funded: 1 external_id: arxiv: - '2012.08185' file: - access_level: open_access checksum: 2bc8155b2526a70fba5b7301bc89dbd1 content_type: application/pdf creator: mlechner date_created: 2022-01-26T07:41:16Z date_updated: 2022-01-26T07:41:16Z file_id: '10684' file_name: 16496-Article Text-19990-1-2-20210518 (1).pdf file_size: 137235 relation: main_file success: 1 file_date_updated: 2022-01-26T07:41:16Z has_accepted_license: '1' intvolume: ' 35' issue: 5A language: - iso: eng main_file_link: - open_access: '1' url: https://ojs.aaai.org/index.php/AAAI/article/view/16496 month: '05' oa: 1 oa_version: Published Version page: 3787-3795 project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Proceedings of the AAAI Conference on Artificial Intelligence publication_identifier: eissn: - 2374-3468 isbn: - 978-1-57735-866-4 issn: - 2159-5399 publication_status: published publisher: AAAI Press quality_controlled: '1' related_material: record: - id: '11362' relation: dissertation_contains status: public scopus_import: '1' status: public title: Scalable verification of quantized neural networks type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 35 year: '2021' ... --- _id: '10666' abstract: - lang: eng text: Adversarial training is an effective method to train deep learning models that are resilient to norm-bounded perturbations, with the cost of nominal performance drop. While adversarial training appears to enhance the robustness and safety of a deep model deployed in open-world decision-critical applications, counterintuitively, it induces undesired behaviors in robot learning settings. In this paper, we show theoretically and experimentally that neural controllers obtained via adversarial training are subjected to three types of defects, namely transient, systematic, and conditional errors. We first generalize adversarial training to a safety-domain optimization scheme allowing for more generic specifications. We then prove that such a learning process tends to cause certain error profiles. We support our theoretical results by a thorough experimental safety analysis in a robot-learning task. Our results suggest that adversarial training is not yet ready for robot learning. acknowledgement: M.L. and T.A.H. are supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). R.H. and D.R. are supported by Boeing and R.G. by Horizon-2020 ECSEL Project grant no. 783163 (iDev40). article_processing_charge: No arxiv: 1 author: - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Ramin full_name: Hasani, Ramin last_name: Hasani - first_name: Radu full_name: Grosu, Radu last_name: Grosu - first_name: Daniela full_name: Rus, Daniela last_name: Rus - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 citation: ama: 'Lechner M, Hasani R, Grosu R, Rus D, Henzinger TA. Adversarial training is not ready for robot learning. In: 2021 IEEE International Conference on Robotics and Automation. ICRA. ; 2021:4140-4147. doi:10.1109/ICRA48506.2021.9561036' apa: Lechner, M., Hasani, R., Grosu, R., Rus, D., & Henzinger, T. A. (2021). Adversarial training is not ready for robot learning. In 2021 IEEE International Conference on Robotics and Automation (pp. 4140–4147). Xi’an, China. https://doi.org/10.1109/ICRA48506.2021.9561036 chicago: Lechner, Mathias, Ramin Hasani, Radu Grosu, Daniela Rus, and Thomas A Henzinger. “Adversarial Training Is Not Ready for Robot Learning.” In 2021 IEEE International Conference on Robotics and Automation, 4140–47. ICRA, 2021. https://doi.org/10.1109/ICRA48506.2021.9561036. ieee: M. Lechner, R. Hasani, R. Grosu, D. Rus, and T. A. Henzinger, “Adversarial training is not ready for robot learning,” in 2021 IEEE International Conference on Robotics and Automation, Xi’an, China, 2021, pp. 4140–4147. ista: 'Lechner M, Hasani R, Grosu R, Rus D, Henzinger TA. 2021. Adversarial training is not ready for robot learning. 2021 IEEE International Conference on Robotics and Automation. ICRA: International Conference on Robotics and AutomationICRA, 4140–4147.' mla: Lechner, Mathias, et al. “Adversarial Training Is Not Ready for Robot Learning.” 2021 IEEE International Conference on Robotics and Automation, 2021, pp. 4140–47, doi:10.1109/ICRA48506.2021.9561036. short: M. Lechner, R. Hasani, R. Grosu, D. Rus, T.A. Henzinger, in:, 2021 IEEE International Conference on Robotics and Automation, 2021, pp. 4140–4147. conference: end_date: 2021-06-05 location: Xi'an, China name: 'ICRA: International Conference on Robotics and Automation' start_date: 2021-05-30 date_created: 2022-01-25T15:44:54Z date_published: 2021-01-01T00:00:00Z date_updated: 2023-08-17T06:58:38Z ddc: - '000' department: - _id: GradSch - _id: ToHe doi: 10.1109/ICRA48506.2021.9561036 external_id: arxiv: - '2103.08187' isi: - '000765738803040' has_accepted_license: '1' isi: 1 language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/3.0/ main_file_link: - open_access: '1' url: https://arxiv.org/abs/2103.08187 oa: 1 oa_version: None page: 4140-4147 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 2021 IEEE International Conference on Robotics and Automation publication_identifier: eisbn: - 978-1-7281-9077-8 eissn: - 2577-087X isbn: - 978-1-7281-9078-5 issn: - 1050-4729 publication_status: published quality_controlled: '1' related_material: record: - id: '11362' relation: dissertation_contains status: public series_title: ICRA status: public title: Adversarial training is not ready for robot learning tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0) short: CC BY-NC-ND (3.0) type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '10667' abstract: - lang: eng text: Bayesian neural networks (BNNs) place distributions over the weights of a neural network to model uncertainty in the data and the network's prediction. We consider the problem of verifying safety when running a Bayesian neural network policy in a feedback loop with infinite time horizon systems. Compared to the existing sampling-based approaches, which are inapplicable to the infinite time horizon setting, we train a separate deterministic neural network that serves as an infinite time horizon safety certificate. In particular, we show that the certificate network guarantees the safety of the system over a subset of the BNN weight posterior's support. Our method first computes a safe weight set and then alters the BNN's weight posterior to reject samples outside this set. Moreover, we show how to extend our approach to a safe-exploration reinforcement learning setting, in order to avoid unsafe trajectories during the training of the policy. We evaluate our approach on a series of reinforcement learning benchmarks, including non-Lyapunovian safety specifications. acknowledgement: This research was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award), ERC CoG 863818 (FoRM-SMArt), and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385. alternative_title: - ' Advances in Neural Information Processing Systems' article_processing_charge: No arxiv: 1 author: - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Ðorđe full_name: Žikelić, Ðorđe last_name: Žikelić - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 citation: ama: 'Lechner M, Žikelić Ð, Chatterjee K, Henzinger TA. Infinite time horizon safety of Bayesian neural networks. In: 35th Conference on Neural Information Processing Systems. ; 2021. doi:10.48550/arXiv.2111.03165' apa: Lechner, M., Žikelić, Ð., Chatterjee, K., & Henzinger, T. A. (2021). Infinite time horizon safety of Bayesian neural networks. In 35th Conference on Neural Information Processing Systems. Virtual. https://doi.org/10.48550/arXiv.2111.03165 chicago: Lechner, Mathias, Ðorđe Žikelić, Krishnendu Chatterjee, and Thomas A Henzinger. “Infinite Time Horizon Safety of Bayesian Neural Networks.” In 35th Conference on Neural Information Processing Systems, 2021. https://doi.org/10.48550/arXiv.2111.03165. ieee: M. Lechner, Ð. Žikelić, K. Chatterjee, and T. A. Henzinger, “Infinite time horizon safety of Bayesian neural networks,” in 35th Conference on Neural Information Processing Systems, Virtual, 2021. ista: 'Lechner M, Žikelić Ð, Chatterjee K, Henzinger TA. 2021. Infinite time horizon safety of Bayesian neural networks. 35th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, .' mla: Lechner, Mathias, et al. “Infinite Time Horizon Safety of Bayesian Neural Networks.” 35th Conference on Neural Information Processing Systems, 2021, doi:10.48550/arXiv.2111.03165. short: M. Lechner, Ð. Žikelić, K. Chatterjee, T.A. Henzinger, in:, 35th Conference on Neural Information Processing Systems, 2021. conference: end_date: 2021-12-10 location: Virtual name: 'NeurIPS: Neural Information Processing Systems' start_date: 2021-12-06 date_created: 2022-01-25T15:45:58Z date_published: 2021-12-01T00:00:00Z date_updated: 2025-07-14T09:10:12Z day: '01' ddc: - '000' department: - _id: GradSch - _id: ToHe - _id: KrCh doi: 10.48550/arXiv.2111.03165 ec_funded: 1 external_id: arxiv: - '2111.03165' file: - access_level: open_access checksum: 0fc0f852525c10dda9cc9ffea07fb4e4 content_type: application/pdf creator: mlechner date_created: 2022-01-26T07:39:59Z date_updated: 2022-01-26T07:39:59Z file_id: '10682' file_name: infinite_time_horizon_safety_o.pdf file_size: 452492 relation: main_file success: 1 file_date_updated: 2022-01-26T07:39:59Z has_accepted_license: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://proceedings.neurips.cc/paper/2021/hash/544defa9fddff50c53b71c43e0da72be-Abstract.html month: '12' oa: 1 oa_version: Published Version project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 35th Conference on Neural Information Processing Systems publication_status: published quality_controlled: '1' related_material: record: - id: '11362' relation: dissertation_contains status: public status: public title: Infinite time horizon safety of Bayesian neural networks tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0) short: CC BY-NC-ND (3.0) type: conference user_id: 2EBD1598-F248-11E8-B48F-1D18A9856A87 year: '2021' ... --- _id: '10668' abstract: - lang: eng text: 'Robustness to variations in lighting conditions is a key objective for any deep vision system. To this end, our paper extends the receptive field of convolutional neural networks with two residual components, ubiquitous in the visual processing system of vertebrates: On-center and off-center pathways, with an excitatory center and inhibitory surround; OOCS for short. The On-center pathway is excited by the presence of a light stimulus in its center, but not in its surround, whereas the Off-center pathway is excited by the absence of a light stimulus in its center, but not in its surround. We design OOCS pathways via a difference of Gaussians, with their variance computed analytically from the size of the receptive fields. OOCS pathways complement each other in their response to light stimuli, ensuring this way a strong edge-detection capability, and as a result an accurate and robust inference under challenging lighting conditions. We provide extensive empirical evidence showing that networks supplied with OOCS pathways gain accuracy and illumination-robustness from the novel edge representation, compared to other baselines.' acknowledgement: Z.B. is supported by the Doctoral College Resilient Embedded Systems, which is run jointly by the TU Wien’s Faculty of Informatics and the UAS Technikum Wien. R.G. is partially supported by the Horizon 2020 Era-Permed project Persorad, and ECSEL Project grant no. 783163 (iDev40). R.H and D.R were partially supported by Boeing and MIT. M.L. is supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). alternative_title: - PMLR article_processing_charge: No author: - first_name: Zahra full_name: Babaiee, Zahra last_name: Babaiee - first_name: Ramin full_name: Hasani, Ramin last_name: Hasani - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Daniela full_name: Rus, Daniela last_name: Rus - first_name: Radu full_name: Grosu, Radu last_name: Grosu citation: ama: 'Babaiee Z, Hasani R, Lechner M, Rus D, Grosu R. On-off center-surround receptive fields for accurate and robust image classification. In: Proceedings of the 38th International Conference on Machine Learning. Vol 139. ML Research Press; 2021:478-489.' apa: 'Babaiee, Z., Hasani, R., Lechner, M., Rus, D., & Grosu, R. (2021). On-off center-surround receptive fields for accurate and robust image classification. In Proceedings of the 38th International Conference on Machine Learning (Vol. 139, pp. 478–489). Virtual: ML Research Press.' chicago: Babaiee, Zahra, Ramin Hasani, Mathias Lechner, Daniela Rus, and Radu Grosu. “On-off Center-Surround Receptive Fields for Accurate and Robust Image Classification.” In Proceedings of the 38th International Conference on Machine Learning, 139:478–89. ML Research Press, 2021. ieee: Z. Babaiee, R. Hasani, M. Lechner, D. Rus, and R. Grosu, “On-off center-surround receptive fields for accurate and robust image classification,” in Proceedings of the 38th International Conference on Machine Learning, Virtual, 2021, vol. 139, pp. 478–489. ista: 'Babaiee Z, Hasani R, Lechner M, Rus D, Grosu R. 2021. On-off center-surround receptive fields for accurate and robust image classification. Proceedings of the 38th International Conference on Machine Learning. ML: Machine Learning, PMLR, vol. 139, 478–489.' mla: Babaiee, Zahra, et al. “On-off Center-Surround Receptive Fields for Accurate and Robust Image Classification.” Proceedings of the 38th International Conference on Machine Learning, vol. 139, ML Research Press, 2021, pp. 478–89. short: Z. Babaiee, R. Hasani, M. Lechner, D. Rus, R. Grosu, in:, Proceedings of the 38th International Conference on Machine Learning, ML Research Press, 2021, pp. 478–489. conference: end_date: 2021-07-24 location: Virtual name: 'ML: Machine Learning' start_date: 2021-07-18 date_created: 2022-01-25T15:46:33Z date_published: 2021-07-01T00:00:00Z date_updated: 2022-05-04T15:02:27Z day: '01' ddc: - '000' department: - _id: GradSch - _id: ToHe file: - access_level: open_access checksum: d30eae62561bb517d9f978437d7677db content_type: application/pdf creator: mlechner date_created: 2022-01-26T07:38:32Z date_updated: 2022-01-26T07:38:32Z file_id: '10681' file_name: babaiee21a.pdf file_size: 4246561 relation: main_file success: 1 file_date_updated: 2022-01-26T07:38:32Z has_accepted_license: '1' intvolume: ' 139' language: - iso: eng main_file_link: - open_access: '1' url: https://proceedings.mlr.press/v139/babaiee21a month: '07' oa: 1 oa_version: Published Version page: 478-489 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: Proceedings of the 38th International Conference on Machine Learning publication_identifier: issn: - 2640-3498 publication_status: published publisher: ML Research Press quality_controlled: '1' status: public title: On-off center-surround receptive fields for accurate and robust image classification tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0) short: CC BY-NC-ND (3.0) type: conference user_id: 2EBD1598-F248-11E8-B48F-1D18A9856A87 volume: 139 year: '2021' ... --- _id: '10669' abstract: - lang: eng text: "We show that Neural ODEs, an emerging class of timecontinuous neural networks, can be verified by solving a set of global-optimization problems. For this purpose, we introduce Stochastic Lagrangian Reachability (SLR), an\r\nabstraction-based technique for constructing a tight Reachtube (an over-approximation of the set of reachable states\r\nover a given time-horizon), and provide stochastic guarantees in the form of confidence intervals for the Reachtube bounds. SLR inherently avoids the infamous wrapping effect (accumulation of over-approximation errors) by performing local optimization steps to expand safe regions instead of repeatedly forward-propagating them as is done by deterministic reachability methods. To enable fast local optimizations, we introduce a novel forward-mode adjoint sensitivity method to compute gradients without the need for backpropagation. Finally, we establish asymptotic and non-asymptotic convergence rates for SLR." acknowledgement: "The authors would like to thank the reviewers for their insightful comments. RH and RG were partially supported by\r\nHorizon-2020 ECSEL Project grant No. 783163 (iDev40). RH was partially supported by Boeing. ML was supported\r\nin part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). SG was funded by FWF\r\nproject W1255-N23. JC was partially supported by NAWA Polish Returns grant PPN/PPO/2018/1/00029. SS was supported by NSF awards DCL-2040599, CCF-1918225, and CPS-1446832.\r\n" alternative_title: - Technical Tracks article_processing_charge: No arxiv: 1 author: - first_name: Sophie full_name: Grunbacher, Sophie last_name: Grunbacher - first_name: Ramin full_name: Hasani, Ramin last_name: Hasani - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Jacek full_name: Cyranka, Jacek last_name: Cyranka - first_name: Scott A full_name: Smolka, Scott A last_name: Smolka - first_name: Radu full_name: Grosu, Radu last_name: Grosu citation: ama: 'Grunbacher S, Hasani R, Lechner M, Cyranka J, Smolka SA, Grosu R. On the verification of neural ODEs with stochastic guarantees. In: Proceedings of the AAAI Conference on Artificial Intelligence. Vol 35. AAAI Press; 2021:11525-11535.' apa: 'Grunbacher, S., Hasani, R., Lechner, M., Cyranka, J., Smolka, S. A., & Grosu, R. (2021). On the verification of neural ODEs with stochastic guarantees. In Proceedings of the AAAI Conference on Artificial Intelligence (Vol. 35, pp. 11525–11535). Virtual: AAAI Press.' chicago: Grunbacher, Sophie, Ramin Hasani, Mathias Lechner, Jacek Cyranka, Scott A Smolka, and Radu Grosu. “On the Verification of Neural ODEs with Stochastic Guarantees.” In Proceedings of the AAAI Conference on Artificial Intelligence, 35:11525–35. AAAI Press, 2021. ieee: S. Grunbacher, R. Hasani, M. Lechner, J. Cyranka, S. A. Smolka, and R. Grosu, “On the verification of neural ODEs with stochastic guarantees,” in Proceedings of the AAAI Conference on Artificial Intelligence, Virtual, 2021, vol. 35, no. 13, pp. 11525–11535. ista: 'Grunbacher S, Hasani R, Lechner M, Cyranka J, Smolka SA, Grosu R. 2021. On the verification of neural ODEs with stochastic guarantees. Proceedings of the AAAI Conference on Artificial Intelligence. AAAI: Association for the Advancement of Artificial Intelligence, Technical Tracks, vol. 35, 11525–11535.' mla: Grunbacher, Sophie, et al. “On the Verification of Neural ODEs with Stochastic Guarantees.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 35, no. 13, AAAI Press, 2021, pp. 11525–35. short: S. Grunbacher, R. Hasani, M. Lechner, J. Cyranka, S.A. Smolka, R. Grosu, in:, Proceedings of the AAAI Conference on Artificial Intelligence, AAAI Press, 2021, pp. 11525–11535. conference: end_date: 2021-02-09 location: Virtual name: 'AAAI: Association for the Advancement of Artificial Intelligence' start_date: 2021-02-02 date_created: 2022-01-25T15:47:20Z date_published: 2021-05-28T00:00:00Z date_updated: 2022-05-24T06:33:14Z day: '28' ddc: - '000' department: - _id: GradSch - _id: ToHe external_id: arxiv: - '2012.08863' file: - access_level: open_access checksum: 468d07041e282a1d46ffdae92f709630 content_type: application/pdf creator: mlechner date_created: 2022-01-26T07:38:08Z date_updated: 2022-01-26T07:38:08Z file_id: '10680' file_name: 17372-Article Text-20866-1-2-20210518.pdf file_size: 286906 relation: main_file success: 1 file_date_updated: 2022-01-26T07:38:08Z has_accepted_license: '1' intvolume: ' 35' issue: '13' language: - iso: eng main_file_link: - open_access: '1' url: https://ojs.aaai.org/index.php/AAAI/article/view/17372 month: '05' oa: 1 oa_version: Published Version page: 11525-11535 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: Proceedings of the AAAI Conference on Artificial Intelligence publication_identifier: eissn: - 2374-3468 isbn: - 978-1-57735-866-4 issn: - 2159-5399 publication_status: published publisher: AAAI Press quality_controlled: '1' status: public title: On the verification of neural ODEs with stochastic guarantees type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 35 year: '2021' ... --- _id: '10670' abstract: - lang: eng text: "Imitation learning enables high-fidelity, vision-based learning of policies within rich, photorealistic environments. However, such techniques often rely on traditional discrete-time neural models and face difficulties in generalizing to domain shifts by failing to account for the causal relationships between the agent and the environment. In this paper, we propose a theoretical and experimental framework for learning causal representations using continuous-time neural networks, specifically over their discrete-time counterparts. We evaluate our method in the context of visual-control learning of drones over a series of complex tasks, ranging from short- and long-term navigation, to chasing static and dynamic objects through photorealistic environments. Our results demonstrate that causal continuous-time\r\ndeep models can perform robust navigation tasks, where advanced recurrent models fail. These models learn complex causal control representations directly from raw visual inputs and scale to solve a variety of tasks using imitation learning." acknowledgement: "C.V., R.H. A.A. and D.R. are partially supported by Boeing and MIT. A.A. is supported by the National Science Foundation (NSF) Graduate Research Fellowship Program. M.L. is supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). Research was sponsored by the United States Air Force Research Laboratory and the United States Air Force Artificial Intelligence Accelerator and was accomplished under Cooperative Agreement Number FA8750-19-2-1000. The views and conclusions contained in this document are those of the authors\r\nand should not be interpreted as representing the official policies, either expressed or implied, of the United States Air Force or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein.\r\n" alternative_title: - ' Advances in Neural Information Processing Systems' article_processing_charge: No arxiv: 1 author: - first_name: Charles J full_name: Vorbach, Charles J last_name: Vorbach - first_name: Ramin full_name: Hasani, Ramin last_name: Hasani - first_name: Alexander full_name: Amini, Alexander last_name: Amini - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Daniela full_name: Rus, Daniela last_name: Rus citation: ama: 'Vorbach CJ, Hasani R, Amini A, Lechner M, Rus D. Causal navigation by continuous-time neural networks. In: 35th Conference on Neural Information Processing Systems. ; 2021.' apa: Vorbach, C. J., Hasani, R., Amini, A., Lechner, M., & Rus, D. (2021). Causal navigation by continuous-time neural networks. In 35th Conference on Neural Information Processing Systems. Virtual. chicago: Vorbach, Charles J, Ramin Hasani, Alexander Amini, Mathias Lechner, and Daniela Rus. “Causal Navigation by Continuous-Time Neural Networks.” In 35th Conference on Neural Information Processing Systems, 2021. ieee: C. J. Vorbach, R. Hasani, A. Amini, M. Lechner, and D. Rus, “Causal navigation by continuous-time neural networks,” in 35th Conference on Neural Information Processing Systems, Virtual, 2021. ista: 'Vorbach CJ, Hasani R, Amini A, Lechner M, Rus D. 2021. Causal navigation by continuous-time neural networks. 35th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, .' mla: Vorbach, Charles J., et al. “Causal Navigation by Continuous-Time Neural Networks.” 35th Conference on Neural Information Processing Systems, 2021. short: C.J. Vorbach, R. Hasani, A. Amini, M. Lechner, D. Rus, in:, 35th Conference on Neural Information Processing Systems, 2021. conference: end_date: 2021-12-10 location: Virtual name: 'NeurIPS: Neural Information Processing Systems' start_date: 2021-12-06 date_created: 2022-01-25T15:47:50Z date_published: 2021-12-01T00:00:00Z date_updated: 2022-01-26T14:33:31Z day: '01' ddc: - '000' department: - _id: GradSch - _id: ToHe external_id: arxiv: - '2106.08314' file: - access_level: open_access checksum: be81f0ade174a8c9b2d4fe09590b2021 content_type: application/pdf creator: mlechner date_created: 2022-01-26T07:37:24Z date_updated: 2022-01-26T07:37:24Z file_id: '10679' file_name: NeurIPS-2021-causal-navigation-by-continuous-time-neural-networks-Paper.pdf file_size: 6841228 relation: main_file success: 1 file_date_updated: 2022-01-26T07:37:24Z has_accepted_license: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://proceedings.neurips.cc/paper/2021/hash/67ba02d73c54f0b83c05507b7fb7267f-Abstract.html month: '12' oa: 1 oa_version: Published Version project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 35th Conference on Neural Information Processing Systems publication_status: published quality_controlled: '1' status: public title: Causal navigation by continuous-time neural networks tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0) short: CC BY-NC-ND (3.0) type: conference user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2021' ... --- _id: '10671' abstract: - lang: eng text: We introduce a new class of time-continuous recurrent neural network models. Instead of declaring a learning system’s dynamics by implicit nonlinearities, we construct networks of linear first-order dynamical systems modulated via nonlinear interlinked gates. The resulting models represent dynamical systems with varying (i.e., liquid) time-constants coupled to their hidden state, with outputs being computed by numerical differential equation solvers. These neural networks exhibit stable and bounded behavior, yield superior expressivity within the family of neural ordinary differential equations, and give rise to improved performance on time-series prediction tasks. To demonstrate these properties, we first take a theoretical approach to find bounds over their dynamics, and compute their expressive power by the trajectory length measure in a latent trajectory space. We then conduct a series of time-series prediction experiments to manifest the approximation capability of Liquid Time-Constant Networks (LTCs) compared to classical and modern RNNs. acknowledgement: "R.H. and D.R. are partially supported by Boeing. R.H. and R.G. were partially supported by the Horizon-2020 ECSEL\r\nProject grant No. 783163 (iDev40). M.L. was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). A.A. is supported by the National Science Foundation (NSF) Graduate Research Fellowship Program. This research work is partially drawn from the PhD dissertation of R.H." alternative_title: - Technical Tracks article_processing_charge: No arxiv: 1 author: - first_name: Ramin full_name: Hasani, Ramin last_name: Hasani - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Alexander full_name: Amini, Alexander last_name: Amini - first_name: Daniela full_name: Rus, Daniela last_name: Rus - first_name: Radu full_name: Grosu, Radu last_name: Grosu citation: ama: 'Hasani R, Lechner M, Amini A, Rus D, Grosu R. Liquid time-constant networks. In: Proceedings of the AAAI Conference on Artificial Intelligence. Vol 35. AAAI Press; 2021:7657-7666.' apa: 'Hasani, R., Lechner, M., Amini, A., Rus, D., & Grosu, R. (2021). Liquid time-constant networks. In Proceedings of the AAAI Conference on Artificial Intelligence (Vol. 35, pp. 7657–7666). Virtual: AAAI Press.' chicago: Hasani, Ramin, Mathias Lechner, Alexander Amini, Daniela Rus, and Radu Grosu. “Liquid Time-Constant Networks.” In Proceedings of the AAAI Conference on Artificial Intelligence, 35:7657–66. AAAI Press, 2021. ieee: R. Hasani, M. Lechner, A. Amini, D. Rus, and R. Grosu, “Liquid time-constant networks,” in Proceedings of the AAAI Conference on Artificial Intelligence, Virtual, 2021, vol. 35, no. 9, pp. 7657–7666. ista: 'Hasani R, Lechner M, Amini A, Rus D, Grosu R. 2021. Liquid time-constant networks. Proceedings of the AAAI Conference on Artificial Intelligence. AAAI: Association for the Advancement of Artificial Intelligence, Technical Tracks, vol. 35, 7657–7666.' mla: Hasani, Ramin, et al. “Liquid Time-Constant Networks.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 35, no. 9, AAAI Press, 2021, pp. 7657–66. short: R. Hasani, M. Lechner, A. Amini, D. Rus, R. Grosu, in:, Proceedings of the AAAI Conference on Artificial Intelligence, AAAI Press, 2021, pp. 7657–7666. conference: end_date: 2021-02-09 location: Virtual name: 'AAAI: Association for the Advancement of Artificial Intelligence' start_date: 2021-02-02 date_created: 2022-01-25T15:48:36Z date_published: 2021-05-28T00:00:00Z date_updated: 2022-05-24T06:36:54Z day: '28' ddc: - '000' department: - _id: GradSch - _id: ToHe external_id: arxiv: - '2006.04439' file: - access_level: open_access checksum: 0f06995fba06dbcfa7ed965fc66027ff content_type: application/pdf creator: mlechner date_created: 2022-01-26T07:36:03Z date_updated: 2022-01-26T07:36:03Z file_id: '10678' file_name: 16936-Article Text-20430-1-2-20210518 (1).pdf file_size: 4302669 relation: main_file success: 1 file_date_updated: 2022-01-26T07:36:03Z has_accepted_license: '1' intvolume: ' 35' issue: '9' language: - iso: eng main_file_link: - open_access: '1' url: https://ojs.aaai.org/index.php/AAAI/article/view/16936 month: '05' oa: 1 oa_version: Published Version page: 7657-7666 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: Proceedings of the AAAI Conference on Artificial Intelligence publication_identifier: eissn: - 2374-3468 isbn: - 978-1-57735-866-4 issn: - 2159-5399 publication_status: published publisher: AAAI Press quality_controlled: '1' status: public title: Liquid time-constant networks type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 35 year: '2021' ... --- _id: '10674' abstract: - lang: eng text: 'In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner of the game. Such games are central in formal methods since they model the interaction between a non-terminating system and its environment. In bidding games the players bid for the right to move the token: in each round, the players simultaneously submit bids, and the higher bidder moves the token and pays the other player. Bidding games are known to have a clean and elegant mathematical structure that relies on the ability of the players to submit arbitrarily small bids. Many applications, however, require a fixed granularity for the bids, which can represent, for example, the monetary value expressed in cents. We study, for the first time, the combination of discrete-bidding and infinite-duration games. Our most important result proves that these games form a large determined subclass of concurrent games, where determinacy is the strong property that there always exists exactly one player who can guarantee winning the game. In particular, we show that, in contrast to non-discrete bidding games, the mechanism with which tied bids are resolved plays an important role in discrete-bidding games. We study several natural tie-breaking mechanisms and show that, while some do not admit determinacy, most natural mechanisms imply determinacy for every pair of initial budgets.' acknowledgement: "This research was supported in part by the Austrian Science Fund (FWF) under grants S11402-N23 (RiSE/SHiNE), Z211-N23 (Wittgenstein Award), and M 2369-N33 (Meitner fellowship).\r\n" article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Milad full_name: Aghajohari, Milad last_name: Aghajohari - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 citation: ama: Aghajohari M, Avni G, Henzinger TA. Determinacy in discrete-bidding infinite-duration games. Logical Methods in Computer Science. 2021;17(1):10:1-10:23. doi:10.23638/LMCS-17(1:10)2021 apa: Aghajohari, M., Avni, G., & Henzinger, T. A. (2021). Determinacy in discrete-bidding infinite-duration games. Logical Methods in Computer Science. International Federation for Computational Logic. https://doi.org/10.23638/LMCS-17(1:10)2021 chicago: Aghajohari, Milad, Guy Avni, and Thomas A Henzinger. “Determinacy in Discrete-Bidding Infinite-Duration Games.” Logical Methods in Computer Science. International Federation for Computational Logic, 2021. https://doi.org/10.23638/LMCS-17(1:10)2021. ieee: M. Aghajohari, G. Avni, and T. A. Henzinger, “Determinacy in discrete-bidding infinite-duration games,” Logical Methods in Computer Science, vol. 17, no. 1. International Federation for Computational Logic, p. 10:1-10:23, 2021. ista: Aghajohari M, Avni G, Henzinger TA. 2021. Determinacy in discrete-bidding infinite-duration games. Logical Methods in Computer Science. 17(1), 10:1-10:23. mla: Aghajohari, Milad, et al. “Determinacy in Discrete-Bidding Infinite-Duration Games.” Logical Methods in Computer Science, vol. 17, no. 1, International Federation for Computational Logic, 2021, p. 10:1-10:23, doi:10.23638/LMCS-17(1:10)2021. short: M. Aghajohari, G. Avni, T.A. Henzinger, Logical Methods in Computer Science 17 (2021) 10:1-10:23. date_created: 2022-01-25T16:32:13Z date_published: 2021-02-03T00:00:00Z date_updated: 2023-08-17T06:56:42Z day: '03' ddc: - '510' department: - _id: ToHe doi: 10.23638/LMCS-17(1:10)2021 external_id: arxiv: - '1905.03588' isi: - '000658724600010' file: - access_level: open_access checksum: b35586a50ed1ca8f44767de116d18d81 content_type: application/pdf creator: alisjak date_created: 2022-01-26T08:04:50Z date_updated: 2022-01-26T08:04:50Z file_id: '10690' file_name: 2021_LMCS_AGHAJOHAR.pdf file_size: 819878 relation: main_file success: 1 file_date_updated: 2022-01-26T08:04:50Z has_accepted_license: '1' intvolume: ' 17' isi: 1 issue: '1' keyword: - computer science - computer science and game theory - logic in computer science language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: 10:1-10:23 project: - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: Logical Methods in Computer Science publication_identifier: eissn: - 1860-5974 publication_status: published publisher: International Federation for Computational Logic quality_controlled: '1' scopus_import: '1' status: public title: Determinacy in discrete-bidding infinite-duration games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 17 year: '2021' ... --- _id: '10688' abstract: - lang: eng text: "Civl is a static verifier for concurrent programs designed around the conceptual framework of layered refinement,\r\nwhich views the task of verifying a program as a sequence of program simplification steps each justified by its own invariant. Civl verifies a layered concurrent program that compactly expresses all the programs in this sequence and the supporting invariants. This paper presents the design and implementation of the Civl verifier." acknowledgement: This research was performed while Bernhard Kragl was at IST Austria, supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). alternative_title: - Conference Series article_processing_charge: No author: - first_name: Bernhard full_name: Kragl, Bernhard id: 320FC952-F248-11E8-B48F-1D18A9856A87 last_name: Kragl orcid: 0000-0001-7745-9117 - first_name: Shaz full_name: Qadeer, Shaz last_name: Qadeer citation: ama: 'Kragl B, Qadeer S. The Civl verifier. In: Ruzica P, Whalen MW, eds. Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design. Vol 2. TU Wien Academic Press; 2021:143–152. doi:10.34727/2021/isbn.978-3-85448-046-4_23' apa: 'Kragl, B., & Qadeer, S. (2021). The Civl verifier. In P. Ruzica & M. W. Whalen (Eds.), Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design (Vol. 2, pp. 143–152). Virtual: TU Wien Academic Press. https://doi.org/10.34727/2021/isbn.978-3-85448-046-4_23' chicago: Kragl, Bernhard, and Shaz Qadeer. “The Civl Verifier.” In Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design, edited by Piskac Ruzica and Michael W. Whalen, 2:143–152. TU Wien Academic Press, 2021. https://doi.org/10.34727/2021/isbn.978-3-85448-046-4_23. ieee: B. Kragl and S. Qadeer, “The Civl verifier,” in Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design, Virtual, 2021, vol. 2, pp. 143–152. ista: 'Kragl B, Qadeer S. 2021. The Civl verifier. Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design. FMCAD: Formal Methods in Computer-Aided Design, Conference Series, vol. 2, 143–152.' mla: Kragl, Bernhard, and Shaz Qadeer. “The Civl Verifier.” Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design, edited by Piskac Ruzica and Michael W. Whalen, vol. 2, TU Wien Academic Press, 2021, pp. 143–152, doi:10.34727/2021/isbn.978-3-85448-046-4_23. short: B. Kragl, S. Qadeer, in:, P. Ruzica, M.W. Whalen (Eds.), Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design, TU Wien Academic Press, 2021, pp. 143–152. conference: end_date: 2021-10-22 location: Virtual name: 'FMCAD: Formal Methods in Computer-Aided Design' start_date: 2021-10-20 date_created: 2022-01-26T08:01:30Z date_published: 2021-10-01T00:00:00Z date_updated: 2022-01-26T08:20:41Z day: '01' ddc: - '000' department: - _id: ToHe doi: 10.34727/2021/isbn.978-3-85448-046-4_23 editor: - first_name: Piskac full_name: Ruzica, Piskac last_name: Ruzica - first_name: Michael W. full_name: Whalen, Michael W. last_name: Whalen file: - access_level: open_access checksum: 35438ac9f9750340b7f8ae4ae3220d9f content_type: application/pdf creator: cchlebak date_created: 2022-01-26T08:04:29Z date_updated: 2022-01-26T08:04:29Z file_id: '10689' file_name: 2021_FCAD2021_Kragl.pdf file_size: 390555 relation: main_file success: 1 file_date_updated: 2022-01-26T08:04:29Z has_accepted_license: '1' intvolume: ' 2' language: - iso: eng month: '10' oa: 1 oa_version: Published Version page: 143–152 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design publication_identifier: isbn: - 978-3-85448-046-4 publication_status: published publisher: TU Wien Academic Press quality_controlled: '1' status: public title: The Civl verifier tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 2 year: '2021' ... --- _id: '8912' abstract: - lang: eng text: "For automata, synchronization, the problem of bringing an automaton to a particular state regardless of its initial state, is important. It has several applications in practice and is related to a fifty-year-old conjecture on the length of the shortest synchronizing word. Although using shorter words increases the effectiveness in practice, finding a shortest one (which is not necessarily unique) is NP-hard. For this reason, there exist various heuristics in the literature. However, high-quality heuristics such as SynchroP producing relatively shorter sequences are very expensive and can take hours when the automaton has tens of thousands of states. The SynchroP heuristic has been frequently used as a benchmark to evaluate the performance of the new heuristics. In this work, we first improve the runtime of SynchroP and its variants by using algorithmic techniques. We then focus on adapting SynchroP for many-core architectures,\r\nand overall, we obtain more than 1000× speedup on GPUs compared to naive sequential implementation that has been frequently used as a benchmark to evaluate new heuristics in the literature. We also propose two SynchroP variants and evaluate their performance." acknowledgement: This work was supported by The Scientific and Technological Research Council of Turkey (TUBITAK) [grant number 114E569]. This research was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). We would like to thank the authors of (Roman & Szykula, 2015) for providing their heuristics implementations, which we used to compare our SynchroP implementation as given in Table 11. article_number: '114203' article_processing_charge: No article_type: original author: - first_name: Naci E full_name: Sarac, Naci E id: 8C6B42F8-C8E6-11E9-A03A-F2DCE5697425 last_name: Sarac - first_name: Ömer Faruk full_name: Altun, Ömer Faruk last_name: Altun - first_name: Kamil Tolga full_name: Atam, Kamil Tolga last_name: Atam - first_name: Sertac full_name: Karahoda, Sertac last_name: Karahoda - first_name: Kamer full_name: Kaya, Kamer last_name: Kaya - first_name: Hüsnü full_name: Yenigün, Hüsnü last_name: Yenigün citation: ama: Sarac NE, Altun ÖF, Atam KT, Karahoda S, Kaya K, Yenigün H. Boosting expensive synchronizing heuristics. Expert Systems with Applications. 2021;167(4). doi:10.1016/j.eswa.2020.114203 apa: Sarac, N. E., Altun, Ö. F., Atam, K. T., Karahoda, S., Kaya, K., & Yenigün, H. (2021). Boosting expensive synchronizing heuristics. Expert Systems with Applications. Elsevier. https://doi.org/10.1016/j.eswa.2020.114203 chicago: Sarac, Naci E, Ömer Faruk Altun, Kamil Tolga Atam, Sertac Karahoda, Kamer Kaya, and Hüsnü Yenigün. “Boosting Expensive Synchronizing Heuristics.” Expert Systems with Applications. Elsevier, 2021. https://doi.org/10.1016/j.eswa.2020.114203. ieee: N. E. Sarac, Ö. F. Altun, K. T. Atam, S. Karahoda, K. Kaya, and H. Yenigün, “Boosting expensive synchronizing heuristics,” Expert Systems with Applications, vol. 167, no. 4. Elsevier, 2021. ista: Sarac NE, Altun ÖF, Atam KT, Karahoda S, Kaya K, Yenigün H. 2021. Boosting expensive synchronizing heuristics. Expert Systems with Applications. 167(4), 114203. mla: Sarac, Naci E., et al. “Boosting Expensive Synchronizing Heuristics.” Expert Systems with Applications, vol. 167, no. 4, 114203, Elsevier, 2021, doi:10.1016/j.eswa.2020.114203. short: N.E. Sarac, Ö.F. Altun, K.T. Atam, S. Karahoda, K. Kaya, H. Yenigün, Expert Systems with Applications 167 (2021). date_created: 2020-12-02T13:34:25Z date_published: 2021-04-01T00:00:00Z date_updated: 2023-08-04T11:19:00Z day: '01' ddc: - '000' department: - _id: ToHe doi: 10.1016/j.eswa.2020.114203 external_id: isi: - '000640531100038' file: - access_level: open_access checksum: 600c2f81bc898a725bcfa7cf26ff4fed content_type: application/pdf creator: esarac date_created: 2020-12-02T13:33:51Z date_updated: 2020-12-02T13:33:51Z file_id: '8913' file_name: synchroPaperRevised.pdf file_size: 634967 relation: main_file file_date_updated: 2020-12-02T13:33:51Z has_accepted_license: '1' intvolume: ' 167' isi: 1 issue: '4' language: - iso: eng month: '04' oa: 1 oa_version: Submitted Version project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: Expert Systems with Applications publication_identifier: issn: - '09574174' publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Boosting expensive synchronizing heuristics type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 167 year: '2021' ... --- _id: '9200' abstract: - lang: eng text: Formal design of embedded and cyber-physical systems relies on mathematical modeling. In this paper, we consider the model class of hybrid automata whose dynamics are defined by affine differential equations. Given a set of time-series data, we present an algorithmic approach to synthesize a hybrid automaton exhibiting behavior that is close to the data, up to a specified precision, and changes in synchrony with the data. A fundamental problem in our synthesis algorithm is to check membership of a time series in a hybrid automaton. Our solution integrates reachability and optimization techniques for affine dynamical systems to obtain both a sufficient and a necessary condition for membership, combined in a refinement framework. The algorithm processes one time series at a time and hence can be interrupted, provide an intermediate result, and be resumed. We report experimental results demonstrating the applicability of our synthesis approach. acknowledgement: This research was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award) and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411. article_processing_charge: No arxiv: 1 author: - first_name: Miriam full_name: Garcia Soto, Miriam id: 4B3207F6-F248-11E8-B48F-1D18A9856A87 last_name: Garcia Soto orcid: 0000-0003-2936-5719 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Christian full_name: Schilling, Christian id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87 last_name: Schilling orcid: 0000-0003-3658-1065 citation: ama: 'Garcia Soto M, Henzinger TA, Schilling C. Synthesis of hybrid automata with affine dynamics from time-series data. In: HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control. Association for Computing Machinery; 2021:2102.12734. doi:10.1145/3447928.3456704' apa: 'Garcia Soto, M., Henzinger, T. A., & Schilling, C. (2021). Synthesis of hybrid automata with affine dynamics from time-series data. In HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control (p. 2102.12734). Nashville, TN, United States: Association for Computing Machinery. https://doi.org/10.1145/3447928.3456704' chicago: 'Garcia Soto, Miriam, Thomas A Henzinger, and Christian Schilling. “Synthesis of Hybrid Automata with Affine Dynamics from Time-Series Data.” In HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control, 2102.12734. Association for Computing Machinery, 2021. https://doi.org/10.1145/3447928.3456704.' ieee: 'M. Garcia Soto, T. A. Henzinger, and C. Schilling, “Synthesis of hybrid automata with affine dynamics from time-series data,” in HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control, Nashville, TN, United States, 2021, p. 2102.12734.' ista: 'Garcia Soto M, Henzinger TA, Schilling C. 2021. Synthesis of hybrid automata with affine dynamics from time-series data. HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control. HSCC: International Conference on Hybrid Systems Computation and Control, 2102.12734.' mla: 'Garcia Soto, Miriam, et al. “Synthesis of Hybrid Automata with Affine Dynamics from Time-Series Data.” HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control, Association for Computing Machinery, 2021, p. 2102.12734, doi:10.1145/3447928.3456704.' short: 'M. Garcia Soto, T.A. Henzinger, C. Schilling, in:, HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control, Association for Computing Machinery, 2021, p. 2102.12734.' conference: end_date: 2021-05-21 location: Nashville, TN, United States name: 'HSCC: International Conference on Hybrid Systems Computation and Control' start_date: 2021-05-19 date_created: 2021-02-26T16:30:39Z date_published: 2021-05-01T00:00:00Z date_updated: 2023-08-07T13:49:33Z day: '01' ddc: - '000' department: - _id: ToHe doi: 10.1145/3447928.3456704 ec_funded: 1 external_id: arxiv: - '2102.12734' isi: - '000932821700028' file: - access_level: open_access checksum: 4c1202c1abf71384c3ee6fea88c2f80e content_type: application/pdf creator: kschuh date_created: 2021-05-25T13:53:22Z date_updated: 2021-05-25T13:53:22Z file_id: '9424' file_name: 2021_HSCC_Soto.pdf file_size: 1474786 relation: main_file success: 1 file_date_updated: 2021-05-25T13:53:22Z has_accepted_license: '1' isi: 1 keyword: - hybrid automaton - membership - system identification language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: '2102.12734' project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 'HSCC ''21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control' publication_identifier: isbn: - '9781450383394' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' scopus_import: '1' status: public title: Synthesis of hybrid automata with affine dynamics from time-series data tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '9239' abstract: - lang: eng text: 'A graph game proceeds as follows: two players move a token through a graph to produce a finite or infinite path, which determines the payoff of the game. We study bidding games in which in each turn, an auction determines which player moves the token. Bidding games were largely studied in combination with two variants of first-price auctions called “Richman” and “poorman” bidding. We study taxman bidding, which span the spectrum between the two. The game is parameterized by a constant : portion τ of the winning bid is paid to the other player, and portion to the bank. While finite-duration (reachability) taxman games have been studied before, we present, for the first time, results on infinite-duration taxman games: we unify, generalize, and simplify previous equivalences between bidding games and a class of stochastic games called random-turn games.' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Đorđe full_name: Žikelić, Đorđe last_name: Žikelić citation: ama: Avni G, Henzinger TA, Žikelić Đ. Bidding mechanisms in graph games. Journal of Computer and System Sciences. 2021;119(8):133-144. doi:10.1016/j.jcss.2021.02.008 apa: Avni, G., Henzinger, T. A., & Žikelić, Đ. (2021). Bidding mechanisms in graph games. Journal of Computer and System Sciences. Elsevier. https://doi.org/10.1016/j.jcss.2021.02.008 chicago: Avni, Guy, Thomas A Henzinger, and Đorđe Žikelić. “Bidding Mechanisms in Graph Games.” Journal of Computer and System Sciences. Elsevier, 2021. https://doi.org/10.1016/j.jcss.2021.02.008. ieee: G. Avni, T. A. Henzinger, and Đ. Žikelić, “Bidding mechanisms in graph games,” Journal of Computer and System Sciences, vol. 119, no. 8. Elsevier, pp. 133–144, 2021. ista: Avni G, Henzinger TA, Žikelić Đ. 2021. Bidding mechanisms in graph games. Journal of Computer and System Sciences. 119(8), 133–144. mla: Avni, Guy, et al. “Bidding Mechanisms in Graph Games.” Journal of Computer and System Sciences, vol. 119, no. 8, Elsevier, 2021, pp. 133–44, doi:10.1016/j.jcss.2021.02.008. short: G. Avni, T.A. Henzinger, Đ. Žikelić, Journal of Computer and System Sciences 119 (2021) 133–144. date_created: 2021-03-14T23:01:32Z date_published: 2021-03-03T00:00:00Z date_updated: 2023-08-07T14:08:34Z day: '03' department: - _id: ToHe doi: 10.1016/j.jcss.2021.02.008 external_id: arxiv: - '1905.03835' isi: - '000634149800009' intvolume: ' 119' isi: 1 issue: '8' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.1905.03835 month: '03' oa: 1 oa_version: Preprint page: 133-144 publication: Journal of Computer and System Sciences publication_identifier: eissn: - 1090-2724 issn: - 0022-0000 publication_status: published publisher: Elsevier quality_controlled: '1' related_material: record: - id: '6884' relation: earlier_version status: public scopus_import: '1' status: public title: Bidding mechanisms in graph games type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 119 year: '2021' ... --- _id: '9281' abstract: - lang: eng text: We comment on two formal proofs of Fermat's sum of two squares theorem, written using the Mathematical Components libraries of the Coq proof assistant. The first one follows Zagier's celebrated one-sentence proof; the second follows David Christopher's recent new proof relying on partition-theoretic arguments. Both formal proofs rely on a general property of involutions of finite sets, of independent interest. The proof technique consists for the most part of automating recurrent tasks (such as case distinctions and computations on natural numbers) via ad hoc tactics. article_number: '2103.11389' article_processing_charge: No arxiv: 1 author: - first_name: Guillaume full_name: Dubach, Guillaume id: D5C6A458-10C4-11EA-ABF4-A4B43DDC885E last_name: Dubach orcid: 0000-0001-6892-8137 - first_name: Fabian full_name: Mühlböck, Fabian id: 6395C5F6-89DF-11E9-9C97-6BDFE5697425 last_name: Mühlböck orcid: 0000-0003-1548-0177 citation: ama: Dubach G, Mühlböck F. Formal verification of Zagier’s one-sentence proof. arXiv. doi:10.48550/arXiv.2103.11389 apa: Dubach, G., & Mühlböck, F. (n.d.). Formal verification of Zagier’s one-sentence proof. arXiv. https://doi.org/10.48550/arXiv.2103.11389 chicago: Dubach, Guillaume, and Fabian Mühlböck. “Formal Verification of Zagier’s One-Sentence Proof.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2103.11389. ieee: G. Dubach and F. Mühlböck, “Formal verification of Zagier’s one-sentence proof,” arXiv. . ista: Dubach G, Mühlböck F. Formal verification of Zagier’s one-sentence proof. arXiv, 2103.11389. mla: Dubach, Guillaume, and Fabian Mühlböck. “Formal Verification of Zagier’s One-Sentence Proof.” ArXiv, 2103.11389, doi:10.48550/arXiv.2103.11389. short: G. Dubach, F. Mühlböck, ArXiv (n.d.). date_created: 2021-03-23T05:38:48Z date_published: 2021-03-21T00:00:00Z date_updated: 2023-05-03T10:26:45Z day: '21' department: - _id: LaEr - _id: ToHe doi: 10.48550/arXiv.2103.11389 ec_funded: 1 external_id: arxiv: - '2103.11389' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2103.11389 month: '03' oa: 1 oa_version: Preprint project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: arXiv publication_status: submitted related_material: record: - id: '9946' relation: other status: public status: public title: Formal verification of Zagier's one-sentence proof type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2021' ...