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R. Burstall. Extended Calculus of Constructions as a specification language. In R. Bird and C. Morgan, editors, Mathematics of Program Construction, 1993. Invited talk.

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Coercive Subtyping - Luo (1995)   (2 citations)  (Correct)

....(and inductive families, not covered above) and predicative type universes. It has nice meta theoretic properties such as ChurchRosser, Subject Reduction, and Strong Normalisation [21] Implemented in the Lego proof development system, UTT has been applied to verification of functional programs [10, 11], imperative programs [42] and concurrent programs [44] specification and data refinement [29] and formalisation of mathematics [40] 2.3 Definitional equality and computational equality We use LF seriously as a meta level language (see Section 9.1.2 of [30] for a discussion) Along the same ....

R. Burstall. Extended Calculus of Constructions as a specification language. In R. Bird and C. Morgan, editors, Mathematics of Program Construction, 1993. Invited talk.


Coercive Subtyping in Type Theory - Luo (1996)   (8 citations)  (Correct)

....families, not covered above) and predicative type universes. UTT has nice meta theoretic properties such as Church Rosser, Subject Reduction, and Strong Normalisation [Gog94] Implemented in the Lego proof development system, UTT has been applied to program specification and verification (eg, Bur93, BM92] data refinement [Luo93] and formalisation of mathematics [Pol94] 2.3 Definitional equality and computational equality We use LF seriously as a meta level language (see Section 9.1.2 of [Luo94] for a discussion) Along the same line, we make a distinction between the notion of ....

R. Burstall. Extended Calculus of Constructions as a specification language. In R. Bird and C. Morgan, editors, Mathematics of Program Construction, 1993. Invited talk.

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