k-REWB matching cannot be solved in O(n to the 2k minus epsilon) time under SETH, is W[2]-hard parameterized by expression length, and 2-use 2-REWBs require superlinear time unless triangle detection does; 1-use REWBs admit an O(n log squared n) algorithm.
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A bidirectional reduction between suffix random access and function inversion enables improved asymmetric streaming algorithms for exact/approximate pattern matching and relative Lempel-Ziv compression.
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On the Complexity of the Matching Problem of Regular Expressions with Backreferences
k-REWB matching cannot be solved in O(n to the 2k minus epsilon) time under SETH, is W[2]-hard parameterized by expression length, and 2-use 2-REWBs require superlinear time unless triangle detection does; 1-use REWBs admit an O(n log squared n) algorithm.
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Suffix Random Access via Function Inversion: A Key for Asymmetric Streaming String Algorithms
A bidirectional reduction between suffix random access and function inversion enables improved asymmetric streaming algorithms for exact/approximate pattern matching and relative Lempel-Ziv compression.