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Dependent type systems are the basis of many proof development environments. In Aspinalland Compagnoni’s paper, a system λP≤ is proposed as a subtyping extension of the first orderdependent type system λP (also called An). λP≤ has nice meta-theoretic properties includingsubject reduction and decidability. In this article, v,e give a reformulation of λP≤ t called λII≤.The advantages of λII< include: type level transitivity elimination property and pretypesbasedsubtyping system. These features considerably faCilitate the met-theoretical study and furtherextensions of this system.
Dependent type systems are the basis for many proof development environments. In Aspinalland Compagnoni’s paper, a system λP ≦ is proposed as a subtyping extension of the first order dependent type system λP (also called An). ΛP ≦ has nice meta-theoretic properties including subject reduction and decidability. In this article, v, e give a reformulation of λP≤ t called λII≤.The advantages of λII
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