skip to content

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

1ST STEPS IN SYNTHETIC DOMAIN THEORY
JME HYLAND
– CATEGORY THEORY
(1991)
1488,
131
ALGEBRAIC TYPES IN PER MODELS
JME HYLAND, EP ROBINSON, G ROSOLINI
– LECTURE NOTES IN COMPUTER SCIENCE
(1990)
442,
333
KOLMOGOROV WORK IN LOGIC
JME HYLAND
– B LOND MATH SOC
(1990)
22,
61
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
Filter spaces and continuous functionals
JME Hyland
– Annals of Mathematical Logic
(1979)
16,
101
Sheaf models for analysis
JME Hyland, MP Fourman
– Lecture Notes in Mathematics
(1979)
280
  • <
  • 8 of 9
  • >

Research Group

DPMMS retired

Room

C1.13

Telephone

01223 337983