Capture-Avoiding Substitution as a Nominal Algebra
Identifieur interne : 005525 ( Main/Exploration ); précédent : 005524; suivant : 005526Capture-Avoiding Substitution as a Nominal Algebra
Auteurs : Murdoch J. Gabbay [Royaume-Uni] ; Aad Mathijssen [Pays-Bas]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Substitution is fundamental to computer science, underlying for example quantifiers in predicate logic and beta-reduction in the lambda-calculus. So is substitution something we define on syntax on a case-by-case basis, or can we turn the idea of ‘substitution’ into a mathematical object? We exploit the new framework of Nominal Algebra to axiomatise substitution. We prove our axioms sound and complete with respect to a canonical model; this turns out to be quite hard, involving subtle use of results of rewriting and algebra.
Url:
DOI: 10.1007/11921240_14
Affiliations:
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