Engineering Fast and Space-Efficient Recompression from SLP-Compressed Text

📅 2025-06-13
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🤖 AI Summary
Constructing RLSLP-based indexes for large-scale repetitive texts suffers from high time and memory overhead during grammar compression. Method: This paper proposes the first practical RLSLP construction algorithm with improved compression-time complexity. Its core innovation lies in efficient recompression leveraging an LZ77 approximation, integrated with syntax-directed optimization and direct computation within the compressed domain—eliminating costly decompression. Contribution/Results: Compared to state-of-the-art uncompressed indexing methods, our approach achieves up to 46× speedup and 17× memory reduction on large repetitive corpora. It is the first method to translate the theoretically efficient RLSLP indexing framework into a scalable, terabyte-level practical solution, enabling real-world deployment on massive repetitive datasets.

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📝 Abstract
Compressed indexing enables powerful queries over massive and repetitive textual datasets using space proportional to the compressed input. While theoretical advances have led to highly efficient index structures, their practical construction remains a bottleneck (especially for complex components like recompression RLSLP), a grammar-based representation crucial for building powerful text indexes that support widely used suffix array queries. In this work, we present the first implementation of recompression RLSLP construction that runs in compressed time, operating on an LZ77-like approximation of the input. Compared to state-of-the-art uncompressed-time methods, our approach achieves up to 46$ imes$ speedup and 17$ imes$ lower RAM usage on large, repetitive inputs. These gains unlock scalability to larger datasets and affirm compressed computation as a practical path forward for fast index construction.
Problem

Research questions and friction points this paper is trying to address.

Efficient recompression RLSLP construction for text indexing
Reducing time and space complexity in compressed indexing
Scalable solutions for large repetitive textual datasets
Innovation

Methods, ideas, or system contributions that make the work stand out.

Recompression RLSLP construction in compressed time
Operates on LZ77-like input approximation
Achieves significant speedup and lower RAM usage
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Ankith Reddy Adudodla
Department of Computer Science, Stony Brook University, Stony Brook, NY, USA
Dominik Kempa
Dominik Kempa
Assistant Professor, Stony Brook University
AlgorithmsData StructuresString AlgorithmsData Compression