Streamability of nested word transductions

Autor: Emmanuel Filiot, Olivier Gauwin, Pierre-Alain Reynier, Frédéric Servais
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Logical Methods in Computer Science, Vol Volume 15, Issue 2 (2019)
Druh dokumentu: article
ISSN: 1860-5974
DOI: 10.23638/LMCS-15(2:1)2019
Popis: 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.
Databáze: Directory of Open Access Journals