Objective
Infinite objects are ubiquitous in computer science, e.g. an interactive program may be modelled as taking for input a stream (an infinite list) of requests and producing a stream of responses. In theoretical computer science infinite objects play an important role e.g. in automata theory and exact real number arithmetic. Representing and reasoning about infinite computations is crucial in designing safe software systems.
The objective of InfTy is to devise mathematical methods for reasoning about programs manipulating infinite objects, developing compositional typed formalisms and integrating them with infinitary rewriting techniques. Our methods will be compositional and applicable to higher-order programs, while still adopting the operational perspective of rewriting, thus opening up a new viewpoint on higher-order typed formalisms for corecursion. We will extend Pure Type Systems with coinductive types, providing a general yet simple theory for type systems with infinite objects and unifying previous type-based and rewriting-based work on productivity. By establishing infinitary normalisation and infinitary confluence for typable terms, we will construct Böhm models for type systems with corecursion.
Recently, a coinductive approach to infinitary rewriting has been proposed by Endrullis et al., and coinductive proofs for some results in infinitary rewriting have been developed by the fellow. The coinductive approach simplifies investigations in infinitary rewriting and thus it is our chosen methodology. This approach, which we will further develop, is by itself of high interest to the rewriting community, but our work will also be relevant to the typed lambda calculus and programming languages communities. The supervisor has strong expertise in rewriting, particularly infinitary rewriting. He developed much of the theory of Infinitary Combinatory Reduction Systems crucial for the present proposal.
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.
- natural sciences computer and information sciences software software applications system software
- social sciences sociology industrial relations automation
- natural sciences mathematics pure mathematics arithmetics
- social sciences economics and business economics production economics productivity
- natural sciences computer and information sciences computational science
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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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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
MSCA-IF-EF-ST - Standard EF
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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) H2020-MSCA-IF-2015
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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.
1165 KOBENHAVN
Denmark
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.