{"date_published":"2014-12-01T00:00:00Z","abstract":[{"text":"We investigate the problem of checking if a finite-state transducer is robust to uncertainty in its input. Our notion of robustness is based on the analytic notion of Lipschitz continuity - a transducer is K-(Lipschitz) robust if the perturbation in its output is at most K times the perturbation in its input. We quantify input and output perturbation using similarity functions. We show that K-robustness is undecidable even for deterministic transducers. We identify a class of functional transducers, which admits a polynomial time automata-theoretic decision procedure for K-robustness. This class includes Mealy machines and functional letter-to-letter transducers. We also study K-robustness of nondeterministic transducers. Since a nondeterministic transducer generates a set of output words for each input word, we quantify output perturbation using setsimilarity functions. We show that K-robustness of nondeterministic transducers is undecidable, even for letter-to-letter transducers. We identify a class of set-similarity functions which admit decidable K-robustness of letter-to-letter transducers.","lang":"eng"}],"date_updated":"2021-01-12T06:53:45Z","pubrep_id":"804","doi":"10.4230/LIPIcs.FSTTCS.2014.431","department":[{"_id":"ToHe"}],"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","author":[{"orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger","full_name":"Henzinger, Thomas A","first_name":"Thomas A"},{"full_name":"Otop, Jan","first_name":"Jan","last_name":"Otop","id":"2FC5DA74-F248-11E8-B48F-1D18A9856A87"},{"id":"3D2AAC08-F248-11E8-B48F-1D18A9856A87","last_name":"Samanta","first_name":"Roopsha","full_name":"Samanta, Roopsha"}],"intvolume":"        29","oa":1,"alternative_title":["LIPIcs"],"type":"conference","day":"01","volume":29,"status":"public","publication":"Leibniz International Proceedings in Informatics, LIPIcs","_id":"1870","has_accepted_license":"1","page":"431 - 443","date_created":"2018-12-11T11:54:27Z","conference":{"end_date":"2014-12-17","location":"Delhi, India","start_date":"2014-12-15","name":"FSTTCS: Foundations of Software Technology and Theoretical Computer Science"},"title":"Lipschitz robustness of finite-state transducers","ddc":["004"],"file":[{"checksum":"7b1aff1710a8bffb7080ec07f62d9a17","relation":"main_file","file_name":"IST-2017-804-v1+1_37.pdf","creator":"system","content_type":"application/pdf","file_id":"4734","file_size":562151,"date_updated":"2020-07-14T12:45:19Z","date_created":"2018-12-12T10:09:11Z","access_level":"open_access"}],"quality_controlled":"1","language":[{"iso":"eng"}],"month":"12","publication_status":"published","publist_id":"5227","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"file_date_updated":"2020-07-14T12:45:19Z","citation":{"ieee":"T. A. Henzinger, J. Otop, and R. Samanta, “Lipschitz robustness of finite-state transducers,” in <i>Leibniz International Proceedings in Informatics, LIPIcs</i>, Delhi, India, 2014, vol. 29, pp. 431–443.","ista":"Henzinger TA, Otop J, Samanta R. 2014. Lipschitz robustness of finite-state transducers. Leibniz International Proceedings in Informatics, LIPIcs. FSTTCS: Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol. 29, 431–443.","chicago":"Henzinger, Thomas A, Jan Otop, and Roopsha Samanta. “Lipschitz Robustness of Finite-State Transducers.” In <i>Leibniz International Proceedings in Informatics, LIPIcs</i>, 29:431–43. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014. <a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2014.431\">https://doi.org/10.4230/LIPIcs.FSTTCS.2014.431</a>.","apa":"Henzinger, T. A., Otop, J., &#38; Samanta, R. (2014). Lipschitz robustness of finite-state transducers. In <i>Leibniz International Proceedings in Informatics, LIPIcs</i> (Vol. 29, pp. 431–443). Delhi, India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2014.431\">https://doi.org/10.4230/LIPIcs.FSTTCS.2014.431</a>","ama":"Henzinger TA, Otop J, Samanta R. Lipschitz robustness of finite-state transducers. In: <i>Leibniz International Proceedings in Informatics, LIPIcs</i>. Vol 29. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2014:431-443. doi:<a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2014.431\">10.4230/LIPIcs.FSTTCS.2014.431</a>","short":"T.A. Henzinger, J. Otop, R. Samanta, in:, Leibniz International Proceedings in Informatics, LIPIcs, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014, pp. 431–443.","mla":"Henzinger, Thomas A., et al. “Lipschitz Robustness of Finite-State Transducers.” <i>Leibniz International Proceedings in Informatics, LIPIcs</i>, vol. 29, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014, pp. 431–43, doi:<a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2014.431\">10.4230/LIPIcs.FSTTCS.2014.431</a>."},"year":"2014"}