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Expressive Power of Tree Logics

Objectif

Logics for expressing properties of labeled trees and forests figure importantly in several different areas of Computer Science, including verification (branching temporal logics) and database theory (many XML query languages). The goal of this project is to investigate the expressive power of tree logics, mainly those logics that can be captured by tree automata. A similar study, but for word languages, is one of the main lines of research in formal language theory. The study of the expressive power of word logics has lead to many beautiful and fundamental results, including Schutzenberger's characterization of star-free languages, and the Krohn-Rhodes decomposition theorem. We intend to extend this research for trees. The type of questions we want to answer is: what is the expressive power of first-order logic in trees? is there a Krohn-Rhodes decomposition theory for trees? what is a tree group? We expect that our study of tree logics will use algebraic techniques, possibly the setting of forest algebra (as introduced by the principal investigator and Igor Walukiewicz). We would also like to extend the algebraic setting beyond regular languages of finite trees, to e.g. infinite trees, or nonregular languages.

Mots‑clés

Appel à propositions

ERC-2009-StG
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Régime de financement

ERC-SG - ERC Starting Grant

Institution d’accueil

UNIWERSYTET WARSZAWSKI
Contribution de l’UE
€ 799 920,00
Adresse
KRAKOWSKIE PRZEDMIESCIE 26/28
00-927 WARSZAWA
Pologne

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Région
Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa
Type d’activité
Higher or Secondary Education Establishments
Contact administratif
Mikolaj Bojanczyk (Dr.)
Chercheur principal
Mikolaj Bojanczyk (Mr.)
Liens
Coût total
Aucune donnée

Bénéficiaires (1)