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SUffix trees meet REgular languages

Objective

The SURE project (SUffix trees meet REgular languages) is an interdisciplinary project at the intersection of several areas: Algorithms, Data Compression, Automata Theory and Bioinformatics. Its primary objective is to extend the suffix tree, the most important data structure for string processing, to labeled graphs and automata, and to use this new paradigm for studying regular languages.

The suffix tree of a string supports a myriad of natural queries on strings, including multiple pattern matching variants. Suffix trees inspired a variety of related data structures for string algorithms, such as the suffix array, the Burrows-Wheeler transform and the FM-index.

Today’s world demands the processing and analysis of increasingly complex, interrelated data. All these relationships can be captured by using (labeled) graphs. For example, the World Wide Web can be modeled as a graph, where elements are connected through hyperlinks. Graphs are also widely used to model social networks and to create databases. The SURE project will lead to a new data structure, the suffix tree of a graph, efficiently supporting all previous queries on graphs. This will be crucial in the emerging field of pangenomics, where graphs can store multiple genomes, overcoming the inherent bias of a single reference genome.

Graphs provide a natural framework for analyzing regular languages in automata theory. Recent results indicate that several string-processing data structures suggest a new paradigm for analyzing regular languages. The SURE project will extend this paradigm through the suffix tree of a graph, proving that the same ideas can be applied to other formalisms (such as omega-regular languages). We will also show how to study the hierarchy of regular languages induced by these data structures through the lens of regular expressions and logic.

Fields of science (EuroSciVoc)

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Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

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HORIZON-TMA-MSCA-PF-GF - HORIZON TMA MSCA Postdoctoral Fellowships - Global Fellowships

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Call for proposal

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(opens in new window) HORIZON-MSCA-2025-PF

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Coordinator

GRAN SASSO SCIENCE INSTITUTE
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 250 643,40
Address
VIA FRANCESCO CRISPI 7
67100 L'Aquila
Italy

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Region
Sud Abruzzo L’Aquila
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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Partners (2)

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