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JAR
2007

Reasoning about Object-based Calculi in (Co)Inductive Type Theory and the Theory of Contexts

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Reasoning about Object-based Calculi in (Co)Inductive Type Theory and the Theory of Contexts
Abstract. We illustrate a methodology for formalizing and reasoning about Abadi and Cardelli’s object-based calculi, in (co)inductive type theory, such as the Calculus of (Co)Inductive Constructions, by taking advantage of Natural Deduction Semantics and coinduction in comwith weak Higher-Order Abstract Syntax and the Theory of Contexts. Our methodology allows to implement smoothly the calculi in the target metalanguage; moreover, it suggests novel presentations of the calculi themselves. In detail, we present a compact formalization of the syntax and semantics for the functional and the imperative variants of the ς-calculus. Our approach simplifies the proof of Subject Reduction theorems, which are proved formally in the proof assistant Coq with a relatively small overhead.
Alberto Ciaffaglione, Luigi Liquori, Marino Micula
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2007
Where JAR
Authors Alberto Ciaffaglione, Luigi Liquori, Marino Miculan
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