ECC, an Extended Calculus of Constructions

ECC, an Extended Calculus of Constructions (1989)

by Zhaohui Luo

Citations:

75 - 4 self

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Datum	Value	Source
TITLE	ECC, an Extended Calculus of Constructions	user correction - Legacy Corrections
AUTHOR NAME	Zhaohui Luo	user correction
AUTHOR AFFIL	Department of Computer Science; University of Edinburgh	user correction
ABSTRACT	We present a higher-order calculus ECC which can be seen as an extension of the calculus of constructions [CH88] by adding strong sum types and a fully cumulative type hierarchy. ECC turns out to be rather expressive so that mathematical theories can be abstractly described and abstract mathematics may be adequately formalized. It is shown that ECC is strongly normalizing and has other nice proof-theoretic properties. An !\GammaSet (realizability) model is described to show how the essential properties of the calculus can be captured set-theoretically.	user correction
YEAR	1989	user correction - Legacy Corrections
CITATIONS	39 found	ParsCit 1.0