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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

Symmetric monoidal sketches
M Hyland, J Power
– Proceedings of the 2nd ACM SIGPLAN international conference on Principles and practice of declarative programming
(2000)
280
Abstract Games for Linear Logic Extended Abstract
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
The $S$-replete construction
JME Hyland, E Moggi
(1995)
953,
96
Pi-calculus, dialogue games and PCF
JME Hyland, CHL Ong
– undefined
(1995)
96
Full intuitionistic linear logic (extended abstract)1 1 Presented at the 9th International Congress of Logic, Methodology and Philosophy of Science held in Uppsala, Sweden, August 7-14, 1991.
M Hyland, V de Paiva
– Annals of Pure and Applied Logic
(1993)
64,
273
Full intuitionistic linear logic (extended abstract)11Presented at the 9th International Congress of Logic, Methodology and Philosophy of Science held in Uppsala, Sweden, August 7-14, 1991.
M Hyland, V de Paiva
– Annals of Pure and Applied Logic
(1993)
64,
273
Modified realizability toposes and strong normalization proofs (extended abstract)
JME Hyland, C-HL Ong
(1993)
664,
179
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Research Group

DPMMS retired

Room

C1.13

Telephone

01223 337983