Locally nameless sigma calculus
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Official URL: http://afp.sourceforge.net/entries/Locally-Nameles...
We present a Theory of Objects based on the original functional sigma-calculus by Abadi and Cardelli but with an additional parameter to methods. We prove confluence of the operational semantics following the outline of Nipkow's proof of confluence for the lambda-calculus reusing his theory Commutation, a generic diamond lemma reduction. We furthermore formalize a simple type system for our sigma-calculus including a proof of type safety. The entire development uses the concept of Locally Nameless representation for binders. We reuse an earlier proof of confluence for a simpler sigma-calculus based on de Bruijn indices and lists to represent objects.
|Research Areas:||Science & Technology > Science & Technology|
|Deposited On:||25 May 2012 14:08|
|Last Modified:||06 Feb 2013 11:34|
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