A locally nameless theory of objects

Henrio, Ludovic, Kammueller, Florian ORCID logoORCID: https://orcid.org/0000-0001-5839-5488, Lutz, Bianca and Sudhof, Henry (2010) A locally nameless theory of objects. In: SAFA Annual Workshop on Formal Techniques (SAFA’2010), October 6th and 7th, 2010, 2229 Route des Crêtes, 06560, Valbonne, Provence-Alpes-Côte d'Azur, France. . [Conference or Workshop Item]

Download (120kB) | Preview


This paper presents the formalisation of an object calculus in Isabelle/HOL highlighting the binder technique called locally nameless1. This techniques has its origins already in a note at the end of de Bruijn’s paper [5] introducing the classical de Bruijn indices. In the last few years, with the advent of mechanized proofs in the domain of programming languages, e.g. [1], this technique attracted new attention. The most recent work on locally nameless technique [2] provides cofinite quantification, necessary for proving non-trivial properties. Indeed the de Bruijn indices are often criticised, as being too technical, that is why alternative techniques are investigated. The de Bruijn indices method, however, is known to be reliable, and is often chosen in order to focus on aspects of programming languages unrelated to variable bindings. With locally nameless techniques, one expects to spend less time proving auxiliary lemmas dealing with variable bind- ings, but also to obtain theorems that are more convincing because closer to the paper version. Our contributions are a formalisation in Isabelle/HOL of ς-calculus; and an in depth comparison of both locally nameless and de Bruijn complete mechanisations including specification and proofs.

Item Type: Conference or Workshop Item (Paper)
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: 9093
Useful Links:
Depositing User: Dr Florian Kammueller
Date Deposited: 25 May 2012 14:29
Last Modified: 30 Nov 2022 01:11
URI: https://eprints.mdx.ac.uk/id/eprint/9093

Actions (login required)

View Item View Item


Activity Overview
6 month trend
6 month trend

Additional statistics are available via IRStats2.