CORDIS · 101231345 · HORIZON

DEFINE Descriptive Complexity in the Finite and Infinite

Coordinator: EOTVOS LORAND TUDOMANYEGYETEM (HU)

We propose to study infinite, definable (Borel, measurable, etc.) graphs and structures and their interplay with finite ones from the perspective of descriptive complexity. Our focus will be on the following three directions:-Determining the descriptive complexity of constraint satisfaction problems (CSPs), or, equivalently, homomorphism problems on infinite domains. -Analyzing the concept of Borel hyperfiniteness of graphs and establishing new examples of non-hyperfinite graphs using methods from infinite-dimensional Ramsey theory.-Developing finitary analogues of the Borel hierarchy from de…

EU contribution
€1.9M
Total cost
€1.9M
Period
2026-09-01 → 2031-08-31
Framework
Horizon Europe (2021–2027)
Funding scheme
HORIZON-ERC
Call
ERC-2025-COG
Status
SIGNED

About Horizon Europe (2021–2027)

Horizon Europe is the EU's current research and innovation programme, covering 2021 to 2027 with a budget of roughly €95.5 billion. Its three pillars are Excellent Science (frontier research and mobility), Global Challenges and European Industrial Competitiveness (mission-driven collaborative projects in health, climate, digital, security and food) and Innovative Europe (the EIC and EIT). It also funds five EU Missions targeting cancer, climate adaptation, smart cities, oceans and soils.

EU contribution: €1.9M awarded to the consortium. The project runs over approximately 5 years from 2026-09-01 to 2031-08-31.

Full record on CORDIS — partners, deliverables, publications, news.

Open on cordis.europa.eu → Grant DOI ↗

Frequently asked questions

Who funds this research project?
This project is funded by the European Union through the Horizon Europe (2021–2027) programme, under the HORIZON-ERC funding scheme.
What is the EU contribution?
The European Commission contributes €1.9M toward a total project budget of €1.9M.
Which EU programme funds it?
The project is funded under Horizon Europe (2021–2027), call ERC-2025-COG.
Who coordinates the project?
The project is coordinated by EOTVOS LORAND TUDOMANYEGYETEM (HU).
What is the project timeline?
The project runs from 2026-09-01 to 2031-08-31 — approximately 5 years.
Where can I find the full project record?
The complete record — partners, deliverables, publications and news — is published on CORDIS under project ID 101231345.