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EPSRC Reference: GR/T25156/01
Title: Towards a Compositional Model of Complexity at Higher Types
Principal Investigator: O'Hearn, Professor P
Other Investigators:
Riis, Dr S
Researcher Co-Investigators:
Project Partners:
Department: Computer Science
Organisation: Queen Mary University of London
Scheme: Standard Research (Pre-FEC)
Starts: 05 October 2004 Ends: 04 January 2005 Value (£): 7,050
EPSRC Research Topic Classifications:
Fundamentals of Computing
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Panel History:  
Summary on Grant Application Form
Computational complexity and programming language semantics offer important theories of computation that, frustratingly, have often seemed almost disjoint. The former is couched mostly in first-order terms, and concentrates on concrete models of computation. The latter pursues abstractions, and is often concerned with higher-order mathematical entities. The aim of the project described below is to bridge these two theories in what we hope will be a fruitful way. The purpose of this proposal is to support a visit of James Royer to Queen Mary in the autumn of 2004.Royer has outlined a novel time complexity model for a polynomial-time variant of the higher-order programming language PCF; in the visit he will flesh out the development of the model, and it will be subjected to mathematical questions that are traditionally the concern of semanticists. We will also discuss a number of more speculative directions, including complexity models of assembly languages which (because of the presence of code pointers) can themselves be considered higher order.
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