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Proof-theoretic Analysis of Modal Logics


The PAnaMoL project aims at systematising proof theory for modal
logics. We intend to provide a unified perspective on sequent-style
calculi and a deeper understanding of the general connections between
axiom systems and sequent-style calculi for such logics. In detail
the research objectives are

- The systematic development of suitable syntactic characterisations
of classes of modal axioms corresponding to natural formats of rules
in different sequent-style frameworks (e.g. sequent, hypersequent,
nested sequent or display calculi) including algorithmic translations
from axioms to rules and back.

- A systematic comparison of the different sequent-style frameworks
according to their expressive strength.

- The exploitation of these results in the investigation of:
classification results stating necessary and sufficient
proof-theoretic strength for important examples of logics such as GL
and S5; uniform decidability and complexity results for large classes
of logics; general consistency proofs.

The research conducted in the project will be of relevance to
researchers in all fields where modal logics are used to model complex
phenomena and provide easy-to-use results and methods for the
proof-theoretic investigation and implementation of newly developed
modal logics.

Call for proposal

See other projects for this call


Karlsplatz 13
1040 Wien
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 178 156,80