--- _id: '1307' abstract: - lang: eng text: We prove uniqueness of solutions of the DLSS equation in a class of sufficiently regular functions. The global weak solutions of the DLSS equation constructed by Jüngel and Matthes belong to this class of uniqueness. We also show uniqueness of solutions for the quantum drift-diffusion equation, which contains additional drift and second-order diffusion terms. The results hold in case of periodic or Dirichlet-Neumann boundary conditions. Our proof is based on a monotonicity property of the DLSS operator and sophisticated approximation arguments; we derive a PDE satisfied by the pointwise square root of the solution, which enables us to exploit the monotonicity property of the operator. author: - first_name: Julian L full_name: Julian Fischer id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87 last_name: Fischer orcid: 0000-0002-0479-558X citation: ama: Fischer JL. Uniqueness of solutions of the Derrida-Lebowitz-Speer-Spohn equation and quantum drift diffusion models. Communications in Partial Differential Equations. 2013;38(11):2004-2047. doi:10.1080/03605302.2013.823548 apa: Fischer, J. L. (2013). Uniqueness of solutions of the Derrida-Lebowitz-Speer-Spohn equation and quantum drift diffusion models. Communications in Partial Differential Equations. Taylor & Francis. https://doi.org/10.1080/03605302.2013.823548 chicago: Fischer, Julian L. “Uniqueness of Solutions of the Derrida-Lebowitz-Speer-Spohn Equation and Quantum Drift Diffusion Models.” Communications in Partial Differential Equations. Taylor & Francis, 2013. https://doi.org/10.1080/03605302.2013.823548. ieee: J. L. Fischer, “Uniqueness of solutions of the Derrida-Lebowitz-Speer-Spohn equation and quantum drift diffusion models,” Communications in Partial Differential Equations, vol. 38, no. 11. Taylor & Francis, pp. 2004–2047, 2013. ista: Fischer JL. 2013. Uniqueness of solutions of the Derrida-Lebowitz-Speer-Spohn equation and quantum drift diffusion models. Communications in Partial Differential Equations. 38(11), 2004–2047. mla: Fischer, Julian L. “Uniqueness of Solutions of the Derrida-Lebowitz-Speer-Spohn Equation and Quantum Drift Diffusion Models.” Communications in Partial Differential Equations, vol. 38, no. 11, Taylor & Francis, 2013, pp. 2004–47, doi:10.1080/03605302.2013.823548. short: J.L. Fischer, Communications in Partial Differential Equations 38 (2013) 2004–2047. date_created: 2018-12-11T11:51:17Z date_published: 2013-11-01T00:00:00Z date_updated: 2021-01-12T06:49:46Z day: '01' doi: 10.1080/03605302.2013.823548 extern: 1 intvolume: ' 38' issue: '11' month: '11' page: 2004 - 2047 publication: Communications in Partial Differential Equations publication_status: published publisher: Taylor & Francis publist_id: '5962' quality_controlled: 0 status: public title: Uniqueness of solutions of the Derrida-Lebowitz-Speer-Spohn equation and quantum drift diffusion models type: journal_article volume: 38 year: '2013' ... --- _id: '1310' abstract: - lang: eng text: We derive lower bounds on asymptotic support propagation rates for strong solutions of the Cauchy problem for the thin-film equation. The bounds coincide up to a constant factor with the previously known upper bounds and thus are sharp. Our results hold in case of at most three spatial dimensions and n∈. (1, 2.92). The result is established using weighted backward entropy inequalities with singular weight functions to yield a differential inequality; combined with some entropy production estimates, the optimal rate of propagation is obtained. To the best of our knowledge, these are the first lower bounds on asymptotic support propagation rates for higher-order nonnegativity-preserving parabolic equations. author: - first_name: Julian L full_name: Julian Fischer id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87 last_name: Fischer orcid: 0000-0002-0479-558X citation: ama: Fischer JL. Optimal lower bounds on asymptotic support propagation rates for the thin-film equation. Journal of Differential Equations. 2013;255(10):3127-3149. doi:10.1016/j.jde.2013.07.028 apa: Fischer, J. L. (2013). Optimal lower bounds on asymptotic support propagation rates for the thin-film equation. Journal of Differential Equations. Academic Press. https://doi.org/10.1016/j.jde.2013.07.028 chicago: Fischer, Julian L. “Optimal Lower Bounds on Asymptotic Support Propagation Rates for the Thin-Film Equation.” Journal of Differential Equations. Academic Press, 2013. https://doi.org/10.1016/j.jde.2013.07.028. ieee: J. L. Fischer, “Optimal lower bounds on asymptotic support propagation rates for the thin-film equation,” Journal of Differential Equations, vol. 255, no. 10. Academic Press, pp. 3127–3149, 2013. ista: Fischer JL. 2013. Optimal lower bounds on asymptotic support propagation rates for the thin-film equation. Journal of Differential Equations. 255(10), 3127–3149. mla: Fischer, Julian L. “Optimal Lower Bounds on Asymptotic Support Propagation Rates for the Thin-Film Equation.” Journal of Differential Equations, vol. 255, no. 10, Academic Press, 2013, pp. 3127–49, doi:10.1016/j.jde.2013.07.028. short: J.L. Fischer, Journal of Differential Equations 255 (2013) 3127–3149. date_created: 2018-12-11T11:51:18Z date_published: 2013-11-15T00:00:00Z date_updated: 2021-01-12T06:49:47Z day: '15' doi: 10.1016/j.jde.2013.07.028 extern: 1 intvolume: ' 255' issue: '10' month: '11' page: 3127 - 3149 publication: Journal of Differential Equations publication_status: published publisher: Academic Press publist_id: '5961' quality_controlled: 0 status: public title: Optimal lower bounds on asymptotic support propagation rates for the thin-film equation type: journal_article volume: 255 year: '2013' ... --- _id: '1374' abstract: - lang: eng text: 'We study two-player zero-sum games over infinite-state graphs equipped with ωB and finitary conditions. Our first contribution is about the strategy complexity, i.e the memory required for winning strategies: we prove that over general infinite-state graphs, memoryless strategies are sufficient for finitary Büchi, and finite-memory suffices for finitary parity games. We then study pushdown games with boundedness conditions, with two contributions. First we prove a collapse result for pushdown games with ωB-conditions, implying the decidability of solving these games. Second we consider pushdown games with finitary parity along with stack boundedness conditions, and show that solving these games is EXPTIME-complete.' alternative_title: - LIPIcs author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Nathanaël full_name: Fijalkow, Nathanaël last_name: Fijalkow citation: ama: 'Chatterjee K, Fijalkow N. Infinite-state games with finitary conditions. In: 22nd EACSL Annual Conference on Computer Science Logic. Vol 23. Leibniz International Proceedings in Informatics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2013:181-196. doi:10.4230/LIPIcs.CSL.2013.181' apa: 'Chatterjee, K., & Fijalkow, N. (2013). Infinite-state games with finitary conditions. In 22nd EACSL Annual Conference on Computer Science Logic (Vol. 23, pp. 181–196). Torino, Italy: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CSL.2013.181' chicago: Chatterjee, Krishnendu, and Nathanaël Fijalkow. “Infinite-State Games with Finitary Conditions.” In 22nd EACSL Annual Conference on Computer Science Logic, 23:181–96. Leibniz International Proceedings in Informatics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2013. https://doi.org/10.4230/LIPIcs.CSL.2013.181. ieee: K. Chatterjee and N. Fijalkow, “Infinite-state games with finitary conditions,” in 22nd EACSL Annual Conference on Computer Science Logic, Torino, Italy, 2013, vol. 23, pp. 181–196. ista: 'Chatterjee K, Fijalkow N. 2013. Infinite-state games with finitary conditions. 22nd EACSL Annual Conference on Computer Science Logic. CSL: Computer Science LogicLeibniz International Proceedings in Informatics, LIPIcs, vol. 23, 181–196.' mla: Chatterjee, Krishnendu, and Nathanaël Fijalkow. “Infinite-State Games with Finitary Conditions.” 22nd EACSL Annual Conference on Computer Science Logic, vol. 23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2013, pp. 181–96, doi:10.4230/LIPIcs.CSL.2013.181. short: K. Chatterjee, N. Fijalkow, in:, 22nd EACSL Annual Conference on Computer Science Logic, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2013, pp. 181–196. conference: end_date: 2013-09-05 location: Torino, Italy name: 'CSL: Computer Science Logic' start_date: 203-09-02 date_created: 2018-12-11T11:51:39Z date_published: 2013-09-01T00:00:00Z date_updated: 2021-01-12T06:50:14Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.CSL.2013.181 ec_funded: 1 file: - access_level: open_access checksum: b7091a3866db573c0db5ec486952255e content_type: application/pdf creator: system date_created: 2018-12-12T10:13:38Z date_updated: 2020-07-14T12:44:47Z file_id: '5023' file_name: IST-2016-624-v1+1_ChKr_Infinite-state_games_2013_17.pdf file_size: 547296 relation: main_file file_date_updated: 2020-07-14T12:44:47Z has_accepted_license: '1' intvolume: ' 23' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '09' oa: 1 oa_version: Published Version page: 181 - 196 project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: 22nd EACSL Annual Conference on Computer Science Logic publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik publist_id: '5837' pubrep_id: '624' quality_controlled: '1' scopus_import: 1 series_title: Leibniz International Proceedings in Informatics status: public title: Infinite-state games with finitary conditions 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: 23 year: '2013' ... --- _id: '1385' abstract: - lang: eng text: It is often difficult to correctly implement a Boolean controller for a complex system, especially when concurrency is involved. Yet, it may be easy to formally specify a controller. For instance, for a pipelined processor it suffices to state that the visible behavior of the pipelined system should be identical to a non-pipelined reference system (Burch-Dill paradigm). We present a novel procedure to efficiently synthesize multiple Boolean control signals from a specification given as a quantified first-order formula (with a specific quantifier structure). Our approach uses uninterpreted functions to abstract details of the design. We construct an unsatisfiable SMT formula from the given specification. Then, from just one proof of unsatisfiability, we use a variant of Craig interpolation to compute multiple coordinated interpolants that implement the Boolean control signals. Our method avoids iterative learning and back-substitution of the control functions. We applied our approach to synthesize a controller for a simple two-stage pipelined processor, and present first experimental results. acknowledgement: "This research was supported by the European Commission through project\r\nDIAMOND \ (FP7-2009-IST-4-248613), and QUAINT (I774-N23), " author: - first_name: Georg full_name: Hofferek, Georg last_name: Hofferek - first_name: Ashutosh full_name: Gupta, Ashutosh id: 335E5684-F248-11E8-B48F-1D18A9856A87 last_name: Gupta - first_name: Bettina full_name: Könighofer, Bettina last_name: Könighofer - first_name: Jie full_name: Jiang, Jie last_name: Jiang - first_name: Roderick full_name: Bloem, Roderick last_name: Bloem citation: ama: 'Hofferek G, Gupta A, Könighofer B, Jiang J, Bloem R. Synthesizing multiple boolean functions using interpolation on a single proof. In: 2013 Formal Methods in Computer-Aided Design. IEEE; 2013:77-84. doi:10.1109/FMCAD.2013.6679394' apa: 'Hofferek, G., Gupta, A., Könighofer, B., Jiang, J., & Bloem, R. (2013). Synthesizing multiple boolean functions using interpolation on a single proof. In 2013 Formal Methods in Computer-Aided Design (pp. 77–84). Portland, OR, United States: IEEE. https://doi.org/10.1109/FMCAD.2013.6679394' chicago: Hofferek, Georg, Ashutosh Gupta, Bettina Könighofer, Jie Jiang, and Roderick Bloem. “Synthesizing Multiple Boolean Functions Using Interpolation on a Single Proof.” In 2013 Formal Methods in Computer-Aided Design, 77–84. IEEE, 2013. https://doi.org/10.1109/FMCAD.2013.6679394. ieee: G. Hofferek, A. Gupta, B. Könighofer, J. Jiang, and R. Bloem, “Synthesizing multiple boolean functions using interpolation on a single proof,” in 2013 Formal Methods in Computer-Aided Design, Portland, OR, United States, 2013, pp. 77–84. ista: 'Hofferek G, Gupta A, Könighofer B, Jiang J, Bloem R. 2013. Synthesizing multiple boolean functions using interpolation on a single proof. 2013 Formal Methods in Computer-Aided Design. FMCAD: Formal Methods in Computer-Aided Design, 77–84.' mla: Hofferek, Georg, et al. “Synthesizing Multiple Boolean Functions Using Interpolation on a Single Proof.” 2013 Formal Methods in Computer-Aided Design, IEEE, 2013, pp. 77–84, doi:10.1109/FMCAD.2013.6679394. short: G. Hofferek, A. Gupta, B. Könighofer, J. Jiang, R. Bloem, in:, 2013 Formal Methods in Computer-Aided Design, IEEE, 2013, pp. 77–84. conference: end_date: 2013-10-23 location: Portland, OR, United States name: 'FMCAD: Formal Methods in Computer-Aided Design' start_date: 2013-10-20 date_created: 2018-12-11T11:51:43Z date_published: 2013-12-11T00:00:00Z date_updated: 2021-01-12T06:50:19Z day: '11' department: - _id: ToHe doi: 10.1109/FMCAD.2013.6679394 ec_funded: 1 external_id: arxiv: - '1308.4767' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1308.4767 month: '12' oa: 1 oa_version: Preprint page: 77 - 84 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25EE3708-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '267989' name: Quantitative Reactive Modeling publication: 2013 Formal Methods in Computer-Aided Design publication_status: published publisher: IEEE publist_id: '5825' quality_controlled: '1' status: public title: Synthesizing multiple boolean functions using interpolation on a single proof type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2013' ... --- _id: '1387' abstract: - lang: eng text: Choices made by nondeterministic word automata depend on both the past (the prefix of the word read so far) and the future (the suffix yet to be read). In several applications, most notably synthesis, the future is diverse or unknown, leading to algorithms that are based on deterministic automata. Hoping to retain some of the advantages of nondeterministic automata, researchers have studied restricted classes of nondeterministic automata. Three such classes are nondeterministic automata that are good for trees (GFT; i.e., ones that can be expanded to tree automata accepting the derived tree languages, thus whose choices should satisfy diverse futures), good for games (GFG; i.e., ones whose choices depend only on the past), and determinizable by pruning (DBP; i.e., ones that embody equivalent deterministic automata). The theoretical properties and relative merits of the different classes are still open, having vagueness on whether they really differ from deterministic automata. In particular, while DBP ⊆ GFG ⊆ GFT, it is not known whether every GFT automaton is GFG and whether every GFG automaton is DBP. Also open is the possible succinctness of GFG and GFT automata compared to deterministic automata. We study these problems for ω-regular automata with all common acceptance conditions. We show that GFT=GFG⊃DBP, and describe a determinization construction for GFG automata. acknowledgement: and ERC Grant QUALITY. alternative_title: - LNCS article_processing_charge: No author: - first_name: Udi full_name: Boker, Udi id: 31E297B6-F248-11E8-B48F-1D18A9856A87 last_name: Boker - first_name: Denis full_name: Kuperberg, Denis last_name: Kuperberg - first_name: Orna full_name: Kupferman, Orna last_name: Kupferman - first_name: Michał full_name: Skrzypczak, Michał last_name: Skrzypczak citation: ama: Boker U, Kuperberg D, Kupferman O, Skrzypczak M. Nondeterminism in the presence of a diverse or unknown future. 2013;7966(PART 2):89-100. doi:10.1007/978-3-642-39212-2_11 apa: 'Boker, U., Kuperberg, D., Kupferman, O., & Skrzypczak, M. (2013). Nondeterminism in the presence of a diverse or unknown future. Presented at the ICALP: Automata, Languages and Programming, Riga, Latvia: Springer. https://doi.org/10.1007/978-3-642-39212-2_11' chicago: Boker, Udi, Denis Kuperberg, Orna Kupferman, and Michał Skrzypczak. “Nondeterminism in the Presence of a Diverse or Unknown Future.” Lecture Notes in Computer Science. Springer, 2013. https://doi.org/10.1007/978-3-642-39212-2_11. ieee: U. Boker, D. Kuperberg, O. Kupferman, and M. Skrzypczak, “Nondeterminism in the presence of a diverse or unknown future,” vol. 7966, no. PART 2. Springer, pp. 89–100, 2013. ista: Boker U, Kuperberg D, Kupferman O, Skrzypczak M. 2013. Nondeterminism in the presence of a diverse or unknown future. 7966(PART 2), 89–100. mla: Boker, Udi, et al. Nondeterminism in the Presence of a Diverse or Unknown Future. Vol. 7966, no. PART 2, Springer, 2013, pp. 89–100, doi:10.1007/978-3-642-39212-2_11. short: U. Boker, D. Kuperberg, O. Kupferman, M. Skrzypczak, 7966 (2013) 89–100. conference: end_date: 2013-07-12 location: Riga, Latvia name: 'ICALP: Automata, Languages and Programming' start_date: 2013-07-08 date_created: 2018-12-11T11:51:44Z date_published: 2013-07-01T00:00:00Z date_updated: 2020-08-11T10:09:09Z day: '01' ddc: - '000' department: - _id: ToHe doi: 10.1007/978-3-642-39212-2_11 ec_funded: 1 file: - access_level: open_access checksum: 98bc02e3793072e279ec8d364b381ff3 content_type: application/pdf creator: dernst date_created: 2020-05-15T11:05:50Z date_updated: 2020-07-14T12:44:48Z file_id: '7857' file_name: 2013_ICALP_Boker.pdf file_size: 276982 relation: main_file file_date_updated: 2020-07-14T12:44:48Z has_accepted_license: '1' intvolume: ' 7966' issue: PART 2 language: - iso: eng month: '07' oa: 1 oa_version: Submitted Version page: 89 - 100 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25EE3708-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '267989' name: Quantitative Reactive Modeling publication_status: published publisher: Springer publist_id: '5823' quality_controlled: '1' scopus_import: 1 series_title: Lecture Notes in Computer Science status: public title: Nondeterminism in the presence of a diverse or unknown future type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 7966 year: '2013' ...