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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

Modified realizability toposes and strong normalization proofs (extended abstract)
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
1ST STEPS IN SYNTHETIC DOMAIN THEORY
JME HYLAND
– LECT NOTES MATH
(1991)
1488,
131
1ST STEPS IN SYNTHETIC DOMAIN THEORY
JME HYLAND
– CATEGORY THEORY
(1991)
1488,
131
Computing and foundations
JME Hyland
(1991)
30,
269
First steps in synthetic domain theory
JME Hyland
(1991)
1488,
131
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
ALGEBRAIC TYPES IN PER MODELS
JME HYLAND, EP ROBINSON, G ROSOLINI
– LECT NOTES COMPUT SC
(1990)
442,
333
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Research Group

DPMMS retired

Room

C1.13

Telephone

01223 337983