Project description
Bridging qualitative and quantitative type systems in programming
The study of programming languages often relies on qualitative type systems to understand programme behaviours, such as termination. However, to grasp complexity and resource consumption, quantitative type systems are used. Despite deep studies in both areas, their interaction remains poorly understood. With the support of the Marie Skłodowska-Curie Actions programme, the REGALIA project aims to address this gap by exploring whether quantitative information can be extracted from qualitatively typed programmes in a compositional manner. REGALIA aims to deepen our understanding by extending Girard’s approximation theorems and developing a translation algorithm between qualitative and quantitative systems. This will lead to new modular methods for studying programming languages, providing a quantitative interpretation of qualitative systems for both pure and effectful computation.
Objective
Qualitative type systems are a widespread technique exploited in the study of programming languages. Types allow to obtain relevant information on the behaviours of programs, such as termination of the evaluation. Quantitative type systems are used to achieve additional information on complexity and resource consumption. While these two families of type systems have been deeply studied, their interaction is still far to be properly understood. Given a program typed in a qualitative way, can we extract quantitative information from it in a compositional manner? This very natural and fundamental question has not received any appropriate answer yet. REGALIA aims to answer the question, deepening our understanding of the relationship between these two kinds of type systems. In order to do so, REGALIA will further develop the theory of resource approximation, by extending Girard's approximation theorems to proofs with cuts and by establishing a translation algorithm between qualitative systems and quantitative ones. I shall then exploit these results to define modular methods to study programming languages, alternative to Tait-Girard reducibility, that will offer quantitative interpretation of relevant qualitative systems in the context of both pure and effectful computation.
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.
This project has not yet been classified with EuroSciVoc.
Be the first one to suggest relevant scientific fields and help us improve our classification service
You need to log in or register to use this function
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.
-
HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
See all projects funded under this programme
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
See all projects funded under this funding scheme
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-2023-PF-01
See all projects funded under this callCoordinator
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.
40126 Bologna
Italy
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.