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Modalities in Substructural Logics: Theory, Methods and Applications

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 (EuroSciVoc)

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Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

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

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) H2020-MSCA-RISE-2020

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Coordinator

AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 59 800,00
Address
CALLE SERRANO 117
28006 MADRID
Spain

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Region
Comunidad de Madrid Comunidad de Madrid Madrid
Activity type
Research Organisations
Links
Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 142 600,00

Participants (21)

Partners (13)

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