research-article

Algorithmic Compression of Finite Tree Languages by Rigid Acyclic Grammars

Authors:

Sebastian Eberhard,

Gabriel Ebner, and

Stefan HetzlAuthors Info & Claims

ACM Transactions on Computational Logic (TOCL), Volume 18, Issue 4

Article No.: 26, Pages 1 - 20

https://doi.org/10.1145/3127401

Published: 21 September 2017 Publication History

Abstract

We present an algorithm to optimally compress a finite set of terms using a vectorial totally rigid acyclic tree grammar. This class of grammars has a tight connection to proof theory, and the grammar compression problem considered in this article has applications in automated deduction. The algorithm is based on a polynomial-time reduction to the MaxSAT optimization problem. The crucial step necessary to justify this reduction consists of applying a term rewriting relation to vectorial totally rigid acyclic tree grammars. Our implementation of this algorithm performs well on a large real-world dataset.

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Cited By

Cerna DKutsia T(2020)Higher-order pattern generalization modulo equational theoriesMathematical Structures in Computer Science10.1017/S096012952000011030:6(627-663)Online publication date: 20-May-2020
https://doi.org/10.1017/S0960129520000110
Ebner GHetzl SLeitsch AReis GWeller D(2019)On the Generation of Quantified LemmasJournal of Automated Reasoning10.1007/s10817-018-9462-863:1(95-126)Online publication date: 1-Jun-2019
https://dl.acm.org/doi/10.1007/s10817-018-9462-8
Eberhard SEbner GHetzl S(2018)Complexity of Decision Problems on Totally Rigid Acyclic Tree GrammarsDevelopments in Language Theory10.1007/978-3-319-98654-8_24(291-303)Online publication date: 5-Aug-2018
https://doi.org/10.1007/978-3-319-98654-8_24

Index Terms

Algorithmic Compression of Finite Tree Languages by Rigid Acyclic Grammars
1. Theory of computation
  1. Formal languages and automata theory

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Published In

cover image ACM Transactions on Computational Logic

ACM Transactions on Computational Logic Volume 18, Issue 4

October 2017

251 pages

ISSN:1529-3785

EISSN:1557-945X

DOI:10.1145/3143777

Editor:
Orna Kupferman
School of Computer Science and Engineering, Hebrew University, Israel

Issue’s Table of Contents

Copyright © 2017 ACM.

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Association for Computing Machinery

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Publication History

Published: 21 September 2017

Accepted: 01 June 2017

Revised: 01 June 2017

Received: 01 April 2016

Published in TOCL Volume 18, Issue 4

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Cited By

Cerna DKutsia T(2020)Higher-order pattern generalization modulo equational theoriesMathematical Structures in Computer Science10.1017/S096012952000011030:6(627-663)Online publication date: 20-May-2020
https://doi.org/10.1017/S0960129520000110
Ebner GHetzl SLeitsch AReis GWeller D(2019)On the Generation of Quantified LemmasJournal of Automated Reasoning10.1007/s10817-018-9462-863:1(95-126)Online publication date: 1-Jun-2019
https://dl.acm.org/doi/10.1007/s10817-018-9462-8
Eberhard SEbner GHetzl S(2018)Complexity of Decision Problems on Totally Rigid Acyclic Tree GrammarsDevelopments in Language Theory10.1007/978-3-319-98654-8_24(291-303)Online publication date: 5-Aug-2018
https://doi.org/10.1007/978-3-319-98654-8_24

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