PAnaMoL | Proof-theoretic Analysis of Modal Logics

Summary
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.
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More information & hyperlinks
Web resources: https://cordis.europa.eu/project/id/660047
Start date: 01-05-2015
End date: 30-04-2017
Total budget - Public funding: 178 156,80 Euro - 178 156,00 Euro
Cordis data

Original description

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.

Status

CLOSED

Call topic

MSCA-IF-2014-EF

Update Date

28-04-2024
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Horizon 2020
H2020-EU.1. EXCELLENT SCIENCE
H2020-EU.1.3. EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions (MSCA)
H2020-EU.1.3.2. Nurturing excellence by means of cross-border and cross-sector mobility
H2020-MSCA-IF-2014
MSCA-IF-2014-EF Marie Skłodowska-Curie Individual Fellowships (IF-EF)