文章基本信息

标题：String-to-String Interpretations With Polynomial-Size Output
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作者：Mikolaj Bojanczyk ; Sandra Kiefer ; Nathan Lhote 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2019
卷号：132
页码：1-14
DOI：10.4230/LIPIcs.ICALP.2019.106
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：String-to-string MSO interpretations are like Courcelle's MSO transductions, except that a single output position can be represented using a tuple of input positions instead of just a single input position. In particular, the output length is polynomial in the input length, as opposed to MSO transductions, which have output of linear length. We show that string-to-string MSO interpretations are exactly the polyregular functions. The latter class has various characterisations, one of which is that it consists of the string-to-string functions recognised by pebble transducers. Our main result implies the surprising fact that string-to-string MSO interpretations are closed under composition.
关键词：MSO; interpretations; pebble transducers; polyregular functions