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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

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
Linear λ-calculus and categorical models revisited
N Benton, G Bierman, V de Paiva, M Hyland
(1993)
702 LNCS,
61
Modified realizability toposes and strong normalization proofs
JME Hyland, C-HL Ong
(1993)
664,
179
Modified realizability toposes and strong normalization proofs
JME Hyland, CHL Ong
– Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics
(1993)
664 LNCS,
179
A term calculus for intuitionistic linear logic
N Benton, G Bierman, V de Paiva, M Hyland
(1993)
664,
75
Computing and foundations
JME Hyland
(1991)
30,
269
First steps in synthetic domain theory
JME Hyland
(1991)
1488,
131
1ST STEPS IN SYNTHETIC DOMAIN THEORY
JME HYLAND
– LECTURE NOTES IN MATHEMATICS
(1991)
1488,
131
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Research Group

DPMMS retired

Room

C1.13

Telephone

01223 337983