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DFLOW

Duality For Logic On Words

Total Cost €

0

EC-Contrib. €

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Partnership

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Project "DFLOW" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITEIT VAN AMSTERDAM 

Organization address
address: SPUI 21
city: AMSTERDAM
postcode: 1012WX
website: www.uva.nl

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Netherlands [NL]
 Project website http://www.samvangool.net/dflow.html
 Total cost 242˙929 €
 EC max contribution 242˙929 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2014
 Funding Scheme MSCA-IF-GF
 Starting year 2016
 Duration (year-month-day) from 2016-01-01   to  2018-12-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITEIT VAN AMSTERDAM NL (AMSTERDAM) coordinator 242˙929.00
2    THE CITY UNIVERSITY OF NEW YORK US (New York) partner 0.00

Map

 Project objective

Duality For Logic on Words (DFLOW)

The mathematical theory of Stone duality underlies a deep connection between syntax and semantics in logic and theoretical computer science, and allows for powerful applications in both of these research fields. The aim of this project is to apply the topological methods provided by Stone duality to the study of the expressive power of logic in describing formal languages of both finite and infinite words.

During the outgoing phase of the project, at the Mathematics Department at the City College of the City University of New York, the applicant will perform an in-depth study of profinite semigroups and their applications in formal language theory, through the lens of Stone duality and finite model theory. In particular, recent insights from duality theory will be applied to obtain tractable combinatorial descriptions of the free profinite objects for logic fragments of varying expressive power. During the return phase to Europe, to the Institute for Logic, Language and Computation at the University of Amsterdam, the applicability of duality theory will be extended to streams and data words. To this end, the knowledge and skills obtained during the outgoing phase will be combined with the existing local expertise on logic and coalgebra in Amsterdam.

During both phases, the hands-on research training will be complemented by training activities to further enhance the applicant's skills in networking, collaboration, teaching, communication and management.

The project, taking place at the interface of mathematics and computer science, has the potential to make a significant impact in three different ways: by advancing the research on Stone duality and formal language theory, by facilitating a new collaboration between the European host institute and a world-leading mathematics department in the USA, and by establishing the applicant's position as a leading young researcher in his field.

 Publications

year authors and title journal last update
List of publications.
2016 Silvio Ghilardi and Samuel J. v. Gool
Monadic second order logic as the model companion of temporal logic
published pages: 417--426, ISSN: , DOI:
Proceedings of the Thirty first Annual IEEE Symposium on Logic in Computer Science (LICS 2016) 2019-06-13
2017 SILVIO GHILARDI, SAMUEL J. VAN GOOL
A MODEL-THEORETIC CHARACTERIZATION OF MONADIC SECOND ORDER LOGIC ON INFINITE WORDS
published pages: 62-76, ISSN: 0022-4812, DOI: 10.1017/jsl.2016.70
The Journal of Symbolic Logic 82/01 2019-06-13
2017 Samuel J. van Gool, George Metcalfe, Constantine Tsinakis
Uniform interpolation and compact congruences
published pages: 1927-1948, ISSN: 0168-0072, DOI: 10.1016/j.apal.2017.05.001
Annals of Pure and Applied Logic 168/10 2019-06-13
2017 Mai Gehrke, Samuel J. v. Gool
Sheaves and duality
published pages: , ISSN: 0022-4049, DOI: 10.1016/j.jpaa.2017.09.004
Journal of Pure and Applied Algebra 2019-06-13
2018 Samuel J. v. Gool, Luca Reggio
An open mapping theorem for finitely copresented Esakia spaces
published pages: 69-77, ISSN: 0166-8641, DOI: 10.1016/j.topol.2018.03.006
Topology and its Applications 240 2019-06-11
2019 Samuel J. van Gool, Benjamin Steinberg
Merge Decompositions, Two-sided Krohn–Rhodes, and Aperiodic Pointlikes
published pages: 1-10, ISSN: 0008-4395, DOI: 10.4153/cmb-2018-014-8
Canadian Mathematical Bulletin 2019-06-11

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The information about "DFLOW" are provided by the European Opendata Portal: CORDIS opendata.

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