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Two-dimensional models of type theory

Published online by Cambridge University Press:  01 August 2009

RICHARD GARNER
RICHARD GARNER*
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Wilberforce Road, Cambridge CB3 0WB, United Kingdom Email: rhgg2@cam.ac.uk
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Abstract

We describe a non-extensional variant of Martin-Löf type theory, which we call two-dimensional type theory, and equip it with a sound and complete semantics valued in 2-categories.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 19 , Issue 4 , August 2009 , pp. 687 - 736
Copyright
Copyright © Cambridge University Press 2009

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