Coppola, Paolo and Lago, Ugo Dal and Della Rocca, Simona Ronchi - Light Logics and the Call-by-Value Lambda Calculus

lmcs:820 - Logical Methods in Computer Science, November 7, 2008, Volume 4, Issue 4
Light Logics and the Call-by-Value Lambda Calculus

Authors: Coppola, Paolo and Lago, Ugo Dal and Della Rocca, Simona Ronchi

The so-called light logics have been introduced as logical systems enjoying quite remarkable normalization properties. Designing a type assignment system for pure lambda calculus from these logics, however, is problematic. In this paper we show that shifting from usual call-by-name to call-by-value lambda calculus allows regaining strong connections with the underlying logic. This will be done in the context of Elementary Affine Logic (EAL), designing a type system in natural deduction style assigning EAL formulae to lambda terms.


Source : oai:arXiv.org:0809.0195
DOI : 10.2168/LMCS-4(4:5)2008
Volume: Volume 4, Issue 4
Published on: November 7, 2008
Submitted on: May 14, 2007
Keywords: Computer Science - Logic in Computer Science,F.4.1


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