Objective
The goal of this project is to develop and exploit proof-theoretic methods for ordered algebraic structures. Traditionally, algebra and proof theory represent two distinct approaches within logic: the former concerned with semantic meaning and structures, the latter with syntactic and algorithmic aspects. In many intriguing cases, however, methods from one field have been essential to obtaining proofs in the other. In particular, proof-theoretic techniques have been used to establish important results for classes of algebras in the framework of residuated lattices. This includes both algebras for a wide range of non-classical logics investigated across mathematics, computer science, philosophy, and linguistics, and also important examples from algebra such as lattice-ordered groups. In recent years, researchers from many countries have begun to explore connections between these two fields more closely, providing algebraic interpretations of proof-theoretic methods, and vice versa. The time is now ripe to clarify and exploit these connections.
The concrete objectives of the project are: (A) to define uniform proof systems for classes of algebras and logic (such as e.g. lattice-ordered groups or cancellative residuated lattices) not covered by known frameworks, (B) to use proof systems to establish new decidability and complexity results, (C) to investigate relationships between the algebraic property of amalgamation and the logical property of interpolation and use proof systems to settle open problems, (D) to use proof systems to establish correspondences between algebraic properties and admissible rules. The main challenge and originality of the project will be to combine new insights and techniques from algebra and proof theory to tackle these goals.
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.
- humanities languages and literature linguistics
- natural sciences mathematics pure mathematics discrete mathematics mathematical logic
- natural sciences mathematics pure mathematics algebra
- natural sciences computer and information sciences
- humanities philosophy, ethics and religion philosophy
You need to log in or register to use this function
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.
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.
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.
FP7-PEOPLE-2009-RG
See other projects for this call
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.
Coordinator
3012 Bern
Switzerland
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.