Project description
Exploring the 'consequences' of less structure
Logic is a discipline that studies correct reasoning and true statements in a formal environment. Languages, deductive systems, syntax and semantics are its basic tools. Classical modal logics form a family of logics that focus on modes of truth, that is to say, they analyse if a statement is 'necessarily' or 'possibly' true, in a given situation. The EU-funded MOSAIC project is taking a closer look at modal logics based on the general setting of substructural logics. The latter are a wide class of formal systems including classical, intuitionistic, many-valued and paraconsistent logics, just to quote few. Beyond the theoretical analysis, the MOSAIC project also aims at developing tools and methods for substructural modal logics to impact several areas of applied science such as artificial intelligence, security and legal reasoning.
Objective
Modal logics are a family of formal systems based on classical logic which aim at improving the expressive power of the classical calculus allowing to reason about “modes of truth”. The aim of the present proposal is to put forward a systematic study of substructural modal logics, understood as those modal logics in which the modal operators are based upon the general ground of substructural logics, weaker deductive systems than classical logic. Our aim is also to explore the applications of substructural modal logics outside the bounds of mathematical logic and, in particular, in the areas of knowledge representation; legal reasoning; data privacy and security; logical analysis of natural language.
Fields of science
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Programme(s)
Coordinator
28006 Madrid
Spain
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Participants (21)
84084 Fisciano Sa
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08193 Cerdanyola Del Valles
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08007 Barcelona
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1012WX Amsterdam
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182 00 Praha
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Participation ended
182 00 Praha 8
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3012 Bern
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87100 Torun
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1040 Wien
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20122 Milano
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WC1E 6BT London
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40126 Bologna
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1081 HV Amsterdam
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18022 Bourges Cedex
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16126 Genova
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3584 CS Utrecht
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21100 Varese
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09124 Cagliari
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31-007 Krakow
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771 47 Olomouc
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53100 Siena
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Partners (12)
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C1425FQB Buenos Aires
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13083 875 Campinas Sp
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80208 Denver
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0200 Canberra
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2001 Johannesburg
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3086 La Trobe University
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59078-970 Natal
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2006 Sydney
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Orange
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2601 Acton Act
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4072 Brisbane
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NM 88003-8001 Las Cruces
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