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Higher-Order Rewriting for Intensional Properties of Programs and Circuits

Objective

"The HORIP project will employ higher-order term rewriting to characterise intensional program properties: properties concerned with ""how"" rather than ""what"" a program computes, such as complexity, compressibility and safety.

Term rewriting is a formal system which can be used to specify algorithms. Unlike common programming languages, term rewriting has a simple, formal definition which admits non-determinism. Higher-order term rewriting is an extension therof, which shares these advantages but has greater expressivity.

To analyse program properties, we may either use dedicated techniques, or translate queries into different fields, with term rewriting as a powerful option. In doing so, methods from widely different areas can be applied.

HORIP aims to analyse intensional properties using higher-order term rewriting. The first phase will attack two lines of research ripe for success: implicit complexity and compiler correctness. For the former, the supervisor is an expert in complexity and the fellow in higher-order term rewriting. For the latter, we will work together with industry collaborator Dr. Rose, who develops the CRSX framework which seeks to describe compilers using a special form of higher-order term rewriting. Leveraging the expertise of all three parties and potential local collaborators, strong results are expected, especially since the higher-order setting avoids many intrinsic limitations of previous work. In the second phase, we extend these ideas to complexity and compressibility of logical circuits. This builds on the first year's experience with implicit complexity, and the expertise of the scientist-in-charge.

HORIP is basic research, building on very recent advances from several international research groups. There are potential future business applications, as well as also purely theoretical goals. All results and related code will be published open source, so as to aid both basic and applied followup research.
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Funding Scheme

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MSCA-IF-EF-ST - Standard EF

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Call for proposal

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(opens in new window) H2020-MSCA-IF-2014

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Coordinator

KOBENHAVNS UNIVERSITET
Net EU contribution

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.

€ 200 194,80
Address
NORREGADE 10
1165 KOBENHAVN
Denmark

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Region
Danmark Hovedstaden Byen København
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

€ 200 194,80
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