Enumeration for MSO-Queries on Compressed Trees

Author:

Lohrey Markus1ORCID,Schmid Markus L.2ORCID

Affiliation:

1. Universität Siegen, Siegen, Germany

2. Humboldt-Universität zu Berlin, Berlin, Germany

Abstract

We present a linear preprocessing and output-linear delay enumeration algorithm for MSO-queries over trees that are compressed in the well-established grammar-based framework. Time bounds are measured with respect to the size of the compressed representation of the tree. Our result extends previous work on the enumeration of MSO-queries over uncompressed trees and on the enumeration of document spanners over compressed text documents.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Association for Computing Machinery (ACM)

Reference36 articles.

1. Enumeration on Trees with Tractable Combined Complexity and Efficient Updates

2. MSO Queries on Tree Decomposable Structures Are Computable with Linear Delay

3. Guillaume Bagan. 2009. Algorithmes et complexité des problè mes d'é numé ration pour l'é valuation de requê tes logiques. (Algorithms and complexity of enumeration problems for the evaluation of logical queries). Ph. D. Dissertation. University of Caen Normandy France. https://tel.archives-ouvertes.fr/tel-00424232

4. The Smallest Grammar Problem Revisited

5. Tree compression with top trees

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