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Department of Pure Mathematics and Mathematical Statistics

Professor of Mathematical Logic

Research Interests: Mathematical Logic: Lambda Calculus, Recursion Theory, Realizability, Proof Theory, Linear Logic. Category Theory: Topos Theory, Categorical algebra, Operads, Higher-dimensional Categories. Theoretical Computer Science: Applications of Category Theory, Domain Theory, Polymorphism, Game Semantics.

Publications

Continuity in spatial toposes
JME Hyland
(1979)
753,
442
The intrinsic recursion theory on the countable or continuous functionals
JME Hyland
– Generalized Recursion Theory II
(1978)
135
Computable and recursively countable functions of higher type
RO Gandy, JME Hyland
– Logic Colloquium '76
(1977)
407-438
Aspects of constructivity in mathematics
JME Hyland
(1977)
439
Proceedings of a Conference held in Oxford, July 19–30, 1976
(1977)
Aspects of Constructivity
JME Hyland
– Logic Colloquium '76
(1977)
439-454
A survey of some useful partial order relations on terms of the Lambda Calculus
JME Hyland
– Lecture Notes in Computer Science
(1976)
37,
83
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Research Group

DPMMS retired

Room

C1.13

Telephone

01223 337983