Locally nameless sigma calculus
Henrio, Ludovic, Kammueller, Florian 
ORCID: https://orcid.org/0000-0001-5839-5488, Lutz, Bianca and Sudhof, Henry
(2010)
Locally nameless sigma calculus.
Archive of Formal Proof
.
ISSN 2150-914X
[Article]
Abstract
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.
| Item Type: | Article |
|---|---|
| Research Areas: | A. > School of Science and Technology > Computer Science > Foundations of Computing group A. > School of Science and Technology > Computer Science > Artificial Intelligence group |
| Item ID: | 9092 |
| Useful Links: | |
| Depositing User: | Dr Florian Kammueller |
| Date Deposited: | 25 May 2012 14:08 |
| Last Modified: | 13 Oct 2016 14:24 |
| URI: | https://eprints.mdx.ac.uk/id/eprint/9092 |
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