--- _id: '6493' abstract: - lang: eng text: We present two algorithmic approaches for synthesizing linear hybrid automata from experimental data. Unlike previous approaches, our algorithms work without a template and generate an automaton with nondeterministic guards and invariants, and with an arbitrary number and topology of modes. They thus construct a succinct model from the data and provide formal guarantees. In particular, (1) the generated automaton can reproduce the data up to a specified tolerance and (2) the automaton is tight, given the first guarantee. Our first approach encodes the synthesis problem as a logical formula in the theory of linear arithmetic, which can then be solved by an SMT solver. This approach minimizes the number of modes in the resulting model but is only feasible for limited data sets. To address scalability, we propose a second approach that does not enforce to find a minimal model. The algorithm constructs an initial automaton and then iteratively extends the automaton based on processing new data. Therefore the algorithm is well-suited for online and synthesis-in-the-loop applications. The core of the algorithm is a membership query that checks whether, within the specified tolerance, a given data set can result from the execution of a given automaton. We solve this membership problem for linear hybrid automata by repeated reachability computations. We demonstrate the effectiveness of the algorithm on synthetic data sets and on cardiac-cell measurements. alternative_title: - LNCS article_processing_charge: No 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 - first_name: Luka full_name: Zeleznik, Luka id: 3ADCA2E4-F248-11E8-B48F-1D18A9856A87 last_name: Zeleznik citation: ama: 'Garcia Soto M, Henzinger TA, Schilling C, Zeleznik L. Membership-based synthesis of linear hybrid automata. In: 31st International Conference on Computer-Aided Verification. Vol 11561. Springer; 2019:297-314. doi:10.1007/978-3-030-25540-4_16' apa: 'Garcia Soto, M., Henzinger, T. A., Schilling, C., & Zeleznik, L. (2019). Membership-based synthesis of linear hybrid automata. In 31st International Conference on Computer-Aided Verification (Vol. 11561, pp. 297–314). New York City, NY, USA: Springer. https://doi.org/10.1007/978-3-030-25540-4_16' chicago: Garcia Soto, Miriam, Thomas A Henzinger, Christian Schilling, and Luka Zeleznik. “Membership-Based Synthesis of Linear Hybrid Automata.” In 31st International Conference on Computer-Aided Verification, 11561:297–314. Springer, 2019. https://doi.org/10.1007/978-3-030-25540-4_16. ieee: M. Garcia Soto, T. A. Henzinger, C. Schilling, and L. Zeleznik, “Membership-based synthesis of linear hybrid automata,” in 31st International Conference on Computer-Aided Verification, New York City, NY, USA, 2019, vol. 11561, pp. 297–314. ista: 'Garcia Soto M, Henzinger TA, Schilling C, Zeleznik L. 2019. Membership-based synthesis of linear hybrid automata. 31st International Conference on Computer-Aided Verification. CAV: Computer-Aided Verification, LNCS, vol. 11561, 297–314.' mla: Garcia Soto, Miriam, et al. “Membership-Based Synthesis of Linear Hybrid Automata.” 31st International Conference on Computer-Aided Verification, vol. 11561, Springer, 2019, pp. 297–314, doi:10.1007/978-3-030-25540-4_16. short: M. Garcia Soto, T.A. Henzinger, C. Schilling, L. Zeleznik, in:, 31st International Conference on Computer-Aided Verification, Springer, 2019, pp. 297–314. conference: end_date: 2019-07-18 location: New York City, NY, USA name: 'CAV: Computer-Aided Verification' start_date: 2019-07-15 date_created: 2019-05-27T07:09:53Z date_published: 2019-07-12T00:00:00Z date_updated: 2023-08-25T10:40:41Z day: '12' ddc: - '000' department: - _id: ToHe doi: 10.1007/978-3-030-25540-4_16 ec_funded: 1 external_id: isi: - '000491468000016' file: - access_level: open_access checksum: 1f1d61b83a151031745ef70a501da3d6 content_type: application/pdf creator: dernst date_created: 2019-08-14T11:05:30Z date_updated: 2020-07-14T12:47:32Z file_id: '6817' file_name: 2019_CAV_GarciaSoto.pdf file_size: 674795 relation: main_file file_date_updated: 2020-07-14T12:47:32Z has_accepted_license: '1' intvolume: ' 11561' isi: 1 keyword: - Synthesis - Linear hybrid automaton - Membership language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: 297-314 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 31st International Conference on Computer-Aided Verification publication_identifier: isbn: - '9783030255398' issn: - 0302-9743 publication_status: published publisher: Springer quality_controlled: '1' scopus_import: '1' status: public title: Membership-based synthesis of linear hybrid 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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 11561 year: '2019' ...