Abstract
Using the Lempel-Ziv-78 compression algorithm to compress a string yields a dictionary of substrings, i.e. an edge-labelled tree with an order-compatible enumeration, here called an LZ-trie. Queries about strings translate to queries about LZ-tries and hence can in principle be answered without decompression. We compare notions of automata accepting LZ-tries and consider the relation between acceptable and MSO-definable classes of LZ-tries. It turns out that regular properties of strings can be checked efficiently on compressed strings by LZ-trie automata.
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Leiß, H., de Rougemont, M. (2003). Automata on Lempel-Ziv Compressed Strings. In: Baaz, M., Makowsky, J.A. (eds) Computer Science Logic. CSL 2003. Lecture Notes in Computer Science, vol 2803. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45220-1_31
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DOI: https://doi.org/10.1007/978-3-540-45220-1_31
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