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Syntax Meets Semantics: Methods, Interactions, and Connections in Substructural logics.

Objective

Substructural logics are formal reasoning systems that refine classical logic by weakening the structural rules in Gentzen sequent calculus.
While classical logic generally formalises the notion of truth, substructural logics allow to handle notions such as resources, vagueness, meaning, and language syntax, motivated by studies in computer science, epistemology, economy, and linguistics. Moreover, from a theoretical point of view, substructural logics provide a refined perspective of classical logic, since the former often exhibit features which are either absent or trivialised in the classical case.
Traditionally, substructural logics have been investigated following three main approaches: proof theoretic, algebraic and abstract study. Although some connections among these approaches were observed long ago, in large part these practices developed in independence. As a result, the research directions, tools and motivations for each approach developed in relative isolation.

The main objective of this project is to establish a network of collaborations between the experts of these diverse methods to investigate substructural logics in a cohesive fashion, taking into account these three distinct yet complementary points of view. The main momentum for this endeavour is provided by recent surprising results that confirm how deeply algebraic and proof theoretic methods are linked to one another.

The proposal gathers leading experts in all these three areas, from all around the word, with the aim of reuniting these traditions and their communities and obtain deep results in all three areas. We are confident that this innovative, combined perspective on substructural logics will have a deep impact on the field and that this project will provide a stable basis of cooperation for a large, international community of algebraists, logicians and theoretical computer scientists, giving fresh impetus to these disciplines to flourish and integrate.

Field of science

  • /humanities/philosophy, ethics and religion/philosophy/epistemology

Call for proposal

H2020-MSCA-RISE-2015
See other projects for this call

Funding Scheme

MSCA-RISE - Marie Skłodowska-Curie Research and Innovation Staff Exchange (RISE)

Coordinator

UNIVERSITA DEGLI STUDI DI SALERNO
Address
Via Giovanni Paolo Ii 132
84084 Fisciano Sa
Italy
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 45 000

Participants (12)

UNIVERSITA DEGLI STUDI DI CAGLIARI
Italy
EU contribution
€ 22 500
Address
Via Universita 40
09124 Cagliari
Activity type
Higher or Secondary Education Establishments
UNIVERSITA DEGLI STUDI DI MILANO
Italy
EU contribution
€ 31 500
Address
Via Festa Del Perdono 7
20122 Milano
Activity type
Higher or Secondary Education Establishments
UNIVERZITA PALACKEHO V OLOMOUCI
Czechia
EU contribution
€ 27 000
Address
Krizkovskeho 8
771 47 Olomouc
Activity type
Higher or Secondary Education Establishments
USTAV INFORMATIKY AV CR
Czechia
EU contribution
€ 85 500
Address
Pod Vodarenskou Vezi 271/2
182 07 Praha
Activity type
Research Organisations
USTAV TEORIE INFORMACE A AUTOMATIZACE AV CR VVI
Czechia
EU contribution
€ 45 000
Address
Pod Vodarenskou Vezi 4 Liben
182 00 Praha 8
Activity type
Research Organisations
TECHNISCHE UNIVERSITAET WIEN
Austria
EU contribution
€ 58 500
Address
Karlsplatz 13
1040 Wien
Activity type
Higher or Secondary Education Establishments
AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS
Spain
EU contribution
€ 45 000
Address
Calle Serrano 117
28006 Madrid
Activity type
Research Organisations
UNIVERSITAT DE BARCELONA
Spain
EU contribution
€ 67 500
Address
Gran Via De Les Corts Catalanes 585
08007 Barcelona
Activity type
Higher or Secondary Education Establishments
UNIVERSITEIT VAN AMSTERDAM
Netherlands
EU contribution
€ 27 000
Address
Spui 21
1012WX Amsterdam
Activity type
Higher or Secondary Education Establishments
UNIVERSITA DEGLI STUDI DELL'INSUBRIA
Italy
EU contribution
€ 4 500
Address
Via Ravasi 2
21100 Varese
Activity type
Higher or Secondary Education Establishments
UNIVERSIDAD AUTONOMA DE BARCELONA
Spain
EU contribution
€ 9 000
Address
Calle Campus Universitario Sn Cerdanyola V
08290 Cerdanyola Del Valles
Activity type
Higher or Secondary Education Establishments
UNIVERSITAET BERN
Switzerland
EU contribution
€ 36 000
Address
Hochschulstrasse 6
3012 Bern
Activity type
Higher or Secondary Education Establishments

Partners (12)

UNIVERSITY OF THE WITWATERSRAND JOHANNESBURG
South Africa
Address
Jan Smuts Avenue 1
2001 Johannesburg
Activity type
Higher or Secondary Education Establishments
CONSEJO NACIONAL DE INVESTIGACIONES CIENTIFICAS Y TECNICAS (CONICET)
Argentina
Address
Godoy Cruz 2290
C1425FQB Buenos Aires
Activity type
Research Organisations
The Regents of New Mexico State University
United States
Address
Corner Of Espina Street & Stewart Street
NM 88003-8001 Las Cruces
Activity type
Higher or Secondary Education Establishments
VANDERBILT UNIVERSITY
United States
Address
West End Avenue 2201
37235 Nashville Tenessee
Activity type
Higher or Secondary Education Establishments
UNIVERSITY OF DENVER COLORADO SEMINARY
United States
Address
S University Blvd 2199
80208 Denver
Activity type
Other
KOKURITSU DAIGAKU HOJIN KYOTO DAIGAKU
Japan
Address
Yoshida Honmachi 36-1 Sakyo Ku
606 8501 Kyoto
Activity type
Higher or Secondary Education Establishments
LA TROBE UNIVERSITY
Australia
Address
Kingsbury Drive
3086 La Trobe University
Activity type
Higher or Secondary Education Establishments
THE AUSTRALIAN NATIONAL UNIVERSITY
Australia
Address
Liversidge Street 1 Building 67C
0200 Canberra
Activity type
Higher or Secondary Education Establishments
NANYANG TECHNOLOGICAL UNIVERSITY
Singapore
Address
Nanyang Avenue 50
639798 Singapore
Activity type
Higher or Secondary Education Establishments
UNIVERSIDADE ESTADUAL DE CAMPINAS
Brazil
Address
Cidade Universitaria Zeferino Sn
13083 875 Campinas Sp
Activity type
Higher or Secondary Education Establishments
Chapman University
United States
Address
1 University Drive
Orange
Activity type
Other
THE UNIVERSITY OF SYDNEY
Australia
Address
Camperdown Campus Arundel St 71/79
2006 Sydney
Activity type
Higher or Secondary Education Establishments