Objective
Modal fixpoint logics, which express recursive notions, find several fundamental applications in computer science. As a key example, in formal verification recursively defined notions are needed to reason about iterations of programs. A second prominent example comes from knowledge representation, where common knowledge of groups of agents is formalised through recursion. Much as in basic modal logics, the semantics of modal fixpoint logics can be enriched with additional properties, called frame conditions, to capture specific attitudes. Frame conditions give rise to rich and expressive families of modal fixpoint logics.
Proof theory is the discipline that studies proof systems, which are sets of axioms and rules used to check validity of a formula. Proof systems play a central role in the analysis of logical systems. Despite their wide range of applications, the proof theory of modal fixpoint logics is currently underdeveloped. More specifically, the proof theory of modal fixpoint logics with frame conditions is much less advanced than the proof theory of modal or intuitionistic logics.
The key objective of CYDER is to define proof systems for modal fixpoint logics with frame conditions, providing a general proof-theoretical framework for these logics. Towards this challenging aim, CYDER will define two new kinds of proof systems: labelled and nested cyclic proofs. CYDER proof-theoretical methodology is inspired by labelled and nested sequents, which capture modal logics with frame conditions, and cyclic proofs, which are a powerful formalism to treat recursion. The project will define cyclic proof systems for several systems of modal fixpoint logics: epistemic logics with common knowledge, the alternation-free modal mu-calculus with frame conditions, intuitionistic modal logics with recursive modalities and dynamic epistemic logics.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
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.
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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2021-PF-01
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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.
1012WX Amsterdam
Netherlands
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.