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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

Pseudo-commutative Monads
M Hyland, J Power
– Electronic Notes in Theoretical Computer Science
(2001)
45,
197
Two-dimensional linear algebra
M Hyland, J Power
– Electronic Notes in Theoretical Computer Science
(2001)
44,
227
On Full Abstraction for PCF: I, II, and III
JME Hyland, CHL Ong
– Information and Computation
(2000)
163,
285
Symmetric monoidal sketches
M Hyland, J Power
– Proceedings of the 2nd International ACM SIGPLAN Conference on Principles and Practice of Declarative Programming
(2000)
280
Abstract Games for Linear Logic Extended Abstract⋆ ⋆Research funded by EPSRC project GR/L27848
M Hyland, A Schalk
– Electronic Notes in Theoretical Computer Science
(1999)
29,
127
Abstract games for linear logic (extended abstract)
M Hyland, A Schalk
(1999)
29,
Paper No. 29013
Game Semantics
M Hyland
(1997)
14,
131
Logic: from foundations to applications
(1996)
xiv+536
Pi-calculus, dialogue games and PCF
JME Hyland, CHL Ong
(1995)
96
The $S$-replete construction
JME Hyland, E Moggi
(1995)
953,
96
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Room

C1.11

Telephone

01223 337986