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arXiv · 0910.2315

The Complexity of Translation Membership for Macro Tree Transducers

Kazuhiro Inaba·Sebastian Maneth
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Abstract

Macro tree transducers (mtts) are a useful formal model for XML query and transformation languages. In this paper one of the fundamental decision problems on translations, namely the "translation membership problem" is studied for mtts. For a fixed translation, the translation membership problem asks whether a given input/output pair is element of the translation. For call-by-name mtts this problem is shown to be NP-complete. The main result is that translation membership for call-by-value mtts is in polynomial time. For several extensions, such as addition of regular look-ahead or the generalization to multi-return mtts, it is shown that translation membership still remains in PTIME.

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Kazuhiro Inaba, Sebastian Maneth. 2009-10-13. The Complexity of Translation Membership for Macro Tree Transducers. https://arxiv.org/abs/0910.2315

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