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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.

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)

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UNIVERSITA DEGLI STUDI DI CAGLIARI

Italy

EU Contribution

€ 22 500

UNIVERSITA DEGLI STUDI DI MILANO

Italy

EU Contribution

€ 31 500

UNIVERZITA PALACKEHO V OLOMOUCI

Czechia

EU Contribution

€ 27 000

USTAV INFORMATIKY AV CR

Czechia

EU Contribution

€ 85 500

USTAV TEORIE INFORMACE A AUTOMATIZACE AV CR VVI

Czechia

EU Contribution

€ 45 000

TECHNISCHE UNIVERSITAET WIEN

Austria

EU Contribution

€ 58 500

AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS

Spain

EU Contribution

€ 45 000

UNIVERSITAT DE BARCELONA

Spain

EU Contribution

€ 67 500

UNIVERSITEIT VAN AMSTERDAM

Netherlands

EU Contribution

€ 27 000

UNIVERSITA DEGLI STUDI DELL'INSUBRIA

Italy

EU Contribution

€ 4 500

UNIVERSITAT AUTONOMA DE BARCELONA

Spain

EU Contribution

€ 9 000

UNIVERSITAET BERN

Switzerland

EU Contribution

€ 36 000

Partners (12)

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UNIVERSITY OF THE WITWATERSRAND JOHANNESBURG

CONSEJO NACIONAL DE INVESTIGACIONES CIENTIFICAS Y TECNICAS (CONICET)

The Regents of New Mexico State University

VANDERBILT UNIVERSITY

UNIVERSITY OF DENVER COLORADO SEMINARY

National University Corporation, Kyoto University

LA TROBE UNIVERSITY

THE AUSTRALIAN NATIONAL UNIVERSITY

Nanyang Technological University

UNIVERSIDADE ESTADUAL DE CAMPINAS

Chapman University

THE UNIVERSITY OF SYDNEY

Project information

Grant agreement ID: 689176

Status

Closed project

  • Start date

    1 March 2016

  • End date

    28 February 2019

Funded under:

H2020-EU.1.3.3.

  • Overall budget:

    € 580 500

  • EU contribution

    € 504 000

Coordinated by:

UNIVERSITA DEGLI STUDI DI SALERNO

Italy