Abstract
Let a text T[1..n] be the only string generated by a context-free grammar with g (terminal and nonterminal) symbols, and of size G (measured as the sum of the lengths of the right-hand sides of the rules). Such a grammar, called a grammar-compressed representation of T, can be encoded using GlgG bits. We introduce the first grammar-compressed index that uses O(Glgn) bits (precisely, Glgn+(2+ϵ)Glgg for any constant ϵ>0) and can find the occ occurrences of patterns P[1..m] in time O((m2+occ)lgG). We implement the index and demonstrate its practicality in comparison with the state of the art, on highly repetitive text collections.
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