@inproceedings{1870, abstract = {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.}, author = {Henzinger, Thomas A and Otop, Jan and Samanta, Roopsha}, booktitle = {Leibniz International Proceedings in Informatics, LIPIcs}, location = {Delhi, India}, pages = {431 -- 443}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Lipschitz robustness of finite-state transducers}}, doi = {10.4230/LIPIcs.FSTTCS.2014.431}, volume = {29}, year = {2014}, }