Intersection Types with Subtyping by Means of Cut Elimination
نویسنده
چکیده
We give a purely syntactic proof (from scratch) of the subject equality property of the BCD intersection type system through a reformulation of the subtyping relation having a “cutelimination” property.
منابع مشابه
Logic of subtyping
We introduce new modal logical calculi that describe subtyping properties of Cartesian product and disjoint union type constructors as well as mutually-recursive types defined using those type constructors. Basic Logic of Subtyping S extends classical propositional logic by two new binary modalities ⊗ and ⊕. An interpretation of S is a function that maps standard connectives into set-theoretica...
متن کاملStrongly Normalising Cut-Elimination with Strict Intersection Types
This paper defines reduction on derivations in the strict intersection type assignment system of [2], by generalising cut-elimination, and shows a strong normalisation result for this reduction. Using this result, new proofs are given for the approximation theorem and the characterisation of normalisability using intersection types.
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This paper defines reduction on derivations in the strict intersection type assignment system of [1], by generalising cut-elimination, and shows a strong normalisation result for this reduction. Using this result, new proofs are given for the approximation theorem and the characterisation of normalisability using intersection types.
متن کاملCut-Elimination in the Strict Intersection Type Assignment System is Strongly Normalizing
“ This paper defines reduction on derivations (cut-elimination) in the Strict Intersection Type Assignment System of [1] and shows a strong normalisation result for this reduction. Using this result, new proofs are given for the approximation theorem and the characterisation of normalisability of terms, using intersection types. ”
متن کاملDecidability of Higher-Order Subtyping with Intersection Types
The combination of higher-order subtyping with intersection types yields a typed model of object-oriented programming with multiple inheritance 11]. The target calculus, F ! ^ , a natural generalization of Girard's system F ! with intersection types and bounded polymorphism, is of independent interest, and is our subject of study. Our main contribution is the proof that subtyping in F ! ^ is de...
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ورودعنوان ژورنال:
- Fundam. Inform.
دوره 121 شماره
صفحات -
تاریخ انتشار 2012