Streamability of Nested Word Transductions

Abstract : We consider the problem of evaluating in streaming (i.e. in a single left-to-right pass) a nested word transduction with a limited amount of memory. A transduction T is said to be height bounded memory (HBM) if it can be evaluated with a memory that depends only on the size of T and on the height of the input word. We show that it is decidable in coNPtime for a nested word transduction defined by a visibly pushdown transducer (VPT), if it is HBM. In this case, the required amount of memory may depend exponentially on the height of the word. We exhibit a sufficient, decidable condition for a VPT to be evaluated with a memory that depends quadratically on the height of the word. This condition defines a class of transductions that strictly contains all determinizable VPTs.
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Supratik Chakraborty and Amit Kumar. FSTTCS - 31st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science - 2011, Dec 2011, Mumbai, India. Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, 13, pp.312-324, 2011, Leibniz International Proceedings in Informatics (LIPIcs). 〈10.4230/LIPIcs.FSTTCS.2011.312〉
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Emmanuel Filiot, Olivier Gauwin, Pierre-Alain Reynier, Frederic Servais. Streamability of Nested Word Transductions. Supratik Chakraborty and Amit Kumar. FSTTCS - 31st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science - 2011, Dec 2011, Mumbai, India. Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, 13, pp.312-324, 2011, Leibniz International Proceedings in Informatics (LIPIcs). 〈10.4230/LIPIcs.FSTTCS.2011.312〉. 〈inria-00566409v2〉

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