Work

Intersection Type System and Lambda Calculus With Director Strings

Year: 2019
Type: conference-paper
Abstract: The operation of substitution in 𝜆-calculus is treated as an atomic operation.It makes that substitution operation is complex to be analyzed.To overcome this drawback, explicit substitution systems are proposed.They bridge the gap between the theory of the 𝜆-calculus and its implementation in programming languages and proof assistants.𝜆 𝑜 -calculus is a name-free explicit substitution.Intersection type systems for various explicit substitution calculi, not including λo-calculus, have been studied by researchers.In this paper, we put our attention to 𝜆 𝑜 -calculus.We present an intersection type system for 𝜆 𝑜 -calculus and show it satisfies the subject reduction property.
Institution: Zhejiang University
Language: English
Subfield: Software
Open Access status: gold
OpenAlex ID: W2928198426
FWCI:
Cites: 16
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Related to: 10