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What and Who

Sorting Automata and Regular Languages

Nicola Cotumaccio
University of Helsinki
AG1 Mittagsseminar (own work)
AG 1  
AG Audience
English

Date, Time and Location

Thursday, 5 December 2024
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

We show that the ideas behind some of the most important data structures for compressing and indexing strings — such as the suffix array, the Burrows-Wheeler Transform and the FM-index — are much more general and provide a new approach to studying automata and regular languages, which retrospectively explains the impact of these data structures. We classify all automata and all regular languages by their propensity to be sorted. Our classification represents a useful parameterization simultaneously for diverse automata-related measures: (i) the encoding bit-complexity of automata/labeled graphs, (ii) the complexity of operations on regular languages (e.g. membership) and on labeled graphs (e.g. pattern matching), (iii) the complexity of NFA determinization by the powerset-construction algorithm.

Contact

Nidhi Rathi
+49 681 9325 1134
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Virtual Meeting Details

Zoom
897 027 2575
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Nidhi Rathi, 12/04/2024 13:20 -- Created document.