On Explicit Substitution with Names
Identifieur interne : 002660 ( Main/Exploration ); précédent : 002659; suivant : 002661On Explicit Substitution with Names
Auteurs : Kristoffer H. Rose [États-Unis] ; Roel Bloo [Pays-Bas] ; Frédéric Lang [France]Source :
- Journal of Automated Reasoning [ 0168-7433 ] ; 2012-08-01.
English descriptors
Abstract
Abstract: This paper recounts the origins of the λx family of calculi of explicit substitution with proper variable names, including the original result of preservation of strong β-normalization based on the use of synthetic reductions for garbage collection. We then discuss the properties of a variant of the calculus which is also confluent for “open” terms (with meta-variables), and verify that a version with garbage collection preserves strong β-normalization (as is the state of the art), and we summarize the relationship with other efforts on using names and garbage collection rules in explicit substitution.
Url:
DOI: 10.1007/s10817-011-9222-5
Affiliations:
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We then discuss the properties of a variant of the calculus which is also confluent for “open” terms (with meta-variables), and verify that a version with garbage collection preserves strong β-normalization (as is the state of the art), and we summarize the relationship with other efforts on using names and garbage collection rules in explicit substitution.</div></front></TEI><affiliations><list><country><li>France</li><li>Pays-Bas</li><li>États-Unis</li></country><region><li>Auvergne-Rhône-Alpes</li><li>Rhône-Alpes</li><li>État de New York</li></region><settlement><li>Saint-Ismier</li></settlement></list><tree><country name="États-Unis"><region name="État de New York"><name sortKey="Rose, Kristoffer H" sort="Rose, Kristoffer H" uniqKey="Rose K" first="Kristoffer H." last="Rose">Kristoffer H. Rose</name></region></country><country name="Pays-Bas"><noRegion><name sortKey="Bloo, Roel" sort="Bloo, Roel" uniqKey="Bloo R" first="Roel" last="Bloo">Roel Bloo</name></noRegion><name sortKey="Bloo, Roel" sort="Bloo, Roel" uniqKey="Bloo R" first="Roel" last="Bloo">Roel Bloo</name></country><country name="France"><region name="Auvergne-Rhône-Alpes"><name sortKey="Lang, Frederic" sort="Lang, Frederic" uniqKey="Lang F" first="Frédéric" last="Lang">Frédéric Lang</name></region><name sortKey="Lang, Frederic" sort="Lang, Frederic" uniqKey="Lang F" first="Frédéric" last="Lang">Frédéric Lang</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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