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Higher-Order Rewriting for Intensional Properties of Programs and Circuits

Total Cost €


EC-Contrib. €






Project "HORIP" data sheet

The following table provides information about the project.


Organization address
address: NORREGADE 10
postcode: 1165

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Denmark [DK]
 Project website
 Total cost 200˙194 €
 EC max contribution 200˙194 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2014
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2015
 Duration (year-month-day) from 2015-10-01   to  2017-09-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    KOBENHAVNS UNIVERSITET DK (KOBENHAVN) coordinator 200˙194.00


 Project 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. '


year authors and title journal last update
List of publications.
2016 Cynthia Kop, Jakob Grue Simonsen
Higher-order Cons-free Interpreters
published pages: , ISSN: , DOI:
Higher Order Rewriting: HOR 2016 2019-06-14
2017 Cynthia Kop
Cons-free Programming with Immutable Functions
published pages: , ISSN: , DOI:
Developments in Implicit Computational complExity: DICE 2017 2019-06-14
2017 Cynthia Kop and Aart Middeldorp and Thomas Sternagel
Complexity of Conditional Term Rewriting
published pages: , ISSN: 1860-5974, DOI:
Logical Methods in Computer Science (lmcs:3123) 13/1 2019-06-14
2016 Cynthia Kop, Kristoffer Rose
h: A Plank for Higher-order Attribute Contraction Schemes
published pages: , ISSN: , DOI:
Higher Order Rewriting: HOR 2016 2019-06-14
2016 Cynthia Kop
Non-deterministic Characterisations
published pages: , ISSN: , DOI:
Workshop on Termination: WST 2016 2019-06-14
2017 Cynthia Kop and Jakob Grue Simonsen
Complexity Hierarchies and Higher-order Cons-free Term Rewriting
published pages: , ISSN: 1860-5974, DOI:
Logical Methods in Computer Science (lmcs:3847; Special Issue for FSCD 2016) 13/3 2019-06-14
2017 Carsten Fuhs, Cynthia Kop, Naoki Nishida
Verifying Procedural Programs via Constrained Rewriting Induction
published pages: 1-50, ISSN: 1529-3785, DOI: 10.1145/3060143
ACM Transactions on Computational Logic 18/2 2019-06-14
2016 Cynthia Kop
On First-order Cons-free Term Rewriting and PTIME
published pages: , ISSN: , DOI:
Developments in Implicit Computational complExity: DICE 2016 2019-06-14

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