Skip to main content
European Commission logo print header

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.


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.


Net EU contribution
€ 138 000,00
Calle serrano 117
28006 Madrid

See on map

Comunidad de Madrid Comunidad de Madrid Madrid
Activity type
Research Organisations
Other funding
€ 0,00

Participants (17)

Partners (12)