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.
Fields of science
Programme(s)
Coordinator
84084 Fisciano Sa
Italy
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Participants (12)
09124 Cagliari
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20122 Milano
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771 47 Olomouc
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182 07 Praha
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182 00 Praha 8
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1040 Wien
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28006 Madrid
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08007 Barcelona
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1012WX Amsterdam
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21100 Varese
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08193 Cerdanyola Del Valles
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3012 Bern
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Partners (12)
Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
2001 Johannesburg
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
C1425FQB Buenos Aires
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
NM 88003-8001 Las Cruces
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
37235 Nashville Tenessee
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
80208 Denver
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
606 8501 Kyoto
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
3086 La Trobe University
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
0200 Canberra
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
639798 Singapore
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
13083 875 Campinas Sp
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
Orange
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Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.
2006 Sydney
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