An Adequacy Theorem for Dependent Type Theory

Theory of Computing Systems \/ Mathematical Systems Theory(2018)

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摘要
We present a domain model of dependent type theory and use it to prove basic metatheoretic properties. In particular, we prove that two convertible terms have the same Böhm tree. The method used is reminiscent of the use of “inclusive predicates” in domain theory.
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关键词
Dependent type theory,Domain theory,Finitary projections
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