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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

Wellfounded trees and dependent polynomial functors
N Gambino, M Hyland
– Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
(2004)
3085,
210
Glueing and orthogonality for models of linear logic
M Hyland, A Schalk
– Theoretical Computer Science
(2003)
294,
183
Pseudo-distributive laws
E Cheng, M Hyland, J Power
– Electronic Notes in Theoretical Computer Science
(2003)
83,
Pseudo-commutative monads and pseudo-closed 2-categories
M Hyland, J Power
– Journal of Pure and APPlied Algebra
(2002)
175,
141
Designs, disputes and strategies
C Faggian, M Hyland
– Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
(2002)
2471,
442
Variations on realizability: realizing the propositional axiom of choice.
JME Hyland
– Mathematical Structures in Computer Science
(2002)
12,
295
Proof theory in the abstract
JME Hyland
– Annals of Pure and Applied Logic
(2002)
114,
43
Games on graphs and sequentially realizable functionals
M Hyland, A Schalk
– 17TH ANNUAL IEEE SYMPOSIUM ON LOGIC IN COMPUTER SCIENCE, PROCEEDINGS
(2002)
257
Traced Premonoidal Categories (extended abstract)
N Benton, M Hyland
– BRICS Note Series NS-02-2
(2002)
12
Combining Computational Effects: Commutativity and Sum
M Hyland, G Plotkin, J Power
– IFIP Advances in Information and Communication Technology
(2002)
96,
474
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Room

C1.11

Telephone

01223 337986