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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

KOLMOGOROV WORK IN LOGIC
JME HYLAND
– BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
(1990)
22,
61
ALGEBRAIC TYPES IN PER MODELS
JME HYLAND, EP ROBINSON, G ROSOLINI
– LECT NOTES COMPUT SC
(1990)
442,
333
ALGEBRAIC TYPES IN PER MODELS
JME HYLAND, EP ROBINSON, G ROSOLINI
– MATHEMATICAL FOUNDATIONS OF PROGRAMMING SEMANTICS /
(1990)
442,
333
The Theory of Constructions: Categorical Semantics and Topos-theoretic Models
JME Hyland, AM Pitts
– Categories in Computer Science and Logic
(1989)
92,
137-199
A small complete category
JME Hyland
– Annals of Pure and Applied Logic
(1988)
40,
135
Applications of constructivity
JME Hyland
(1982)
104,
145
The effective topos
JME Hyland
(1982)
110,
165
Continuity in spatial toposes
JME Hyland
(1979)
753,
442
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
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Research Group

DPMMS retired

Room

C1.13

Telephone

01223 337983