Abstract | ||
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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 characterizations, one of which is that it consists of the string-to-string functions recognized by pebble transducers. Our main result implies the surprising fact that string-to-string MSO interpretations are closed under composition. |
Year | Venue | Field |
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2019 | ICALP | Discrete mathematics,Combinatorics,Polynomial,Tuple,Mathematics |
DocType | Volume | Citations |
Journal | abs/1905.13190 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mikołaj Bojańczyk | 1 | 247 | 17.78 |
Sandra Kiefer | 2 | 9 | 2.50 |
Nathan Lhote | 3 | 0 | 0.68 |