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Faculty of Mathematics

 

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

Sheaf models for analysis
JME Hyland, MP Fourman
– Lecture Notes in Mathematics
(1979)
280
Filter spaces and continuous functionals
JME Hyland
– Annals of Mathematical Logic
(1979)
16,
101
The intrinsic recursion theory on the countable or continuous functionals
JME Hyland
– Generalized Recursion Theory II
(1978)
135
Aspects of Constructivity
JME Hyland
– Logic Colloquium '76
(1977)
439-454
Proceedings of a Conference held in Oxford, July 19–30, 1976
(1977)
Aspects of constructivity in mathematics
JME Hyland
(1977)
439
Computable and recursively countable functions of higher type
RO Gandy, JME Hyland
– Logic Colloquium '76
(1977)
407-438
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