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Expressive Power of Tree Logics

Objetivo

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.

Palabras clave

Convocatoria de propuestas

ERC-2009-StG
Consulte otros proyectos de esta convocatoria

Régimen de financiación

ERC-SG - ERC Starting Grant

Institución de acogida

UNIWERSYTET WARSZAWSKI
Aportación de la UE
€ 799 920,00
Dirección
KRAKOWSKIE PRZEDMIESCIE 26/28
00-927 WARSZAWA
Polonia

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Región
Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa
Tipo de actividad
Higher or Secondary Education Establishments
Contacto administrativo
Mikolaj Bojanczyk (Dr.)
Investigador principal
Mikolaj Bojanczyk (Mr.)
Enlaces
Coste total
Sin datos

Beneficiarios (1)