Objective
"We will study fundamental problems in complexity theory using means developed in logic, specifically, in the filed of proof complexity. Since these problems seem extremely difficult and little progress has been achieved in solving them, we will prove results that will explain why they are so difficult and in which direction theory should be developed.
Our aim is to develop a system of conjectures based on the concepts of feasible incompleteness and pseudorandomness. Feasible incompleteness refers to conjectures about unprovability of statements concerning low complexity computations and about lengths of proofs of finite consistency statements. Essentially, they say that incompleteness in the finite domain behaves in a similar way as in the infinite. Several conjectures of this kind have been already stated. They have strong consequences concerning separation of complexity classes, but only a few special cases have been proved. We want to develop a unified system which will also include conjectures connecting feasible incompleteness with pseudorandomness. A major part of our work will concern proving special cases and relativized versions of these conjectures in order to provide evidence for their truth. We believe that the essence of the fundamental problems in complexity theory is logical, and thus developing theory in the way described above will eventually lead to their solution."
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.
ERC-2013-ADG
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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.
Host institution
115 67 Praha
Czechia
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.