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arXiv · 0809.0195

Light Logics and the Call-by-Value Lambda Calculus

Paolo Coppola·Ugo Dal Lago·Simona Ronchi Della Rocca
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Abstract

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.

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Paolo Coppola, Ugo Dal Lago, Simona Ronchi Della Rocca. 2008-09-01. Light Logics and the Call-by-Value Lambda Calculus. https://doi.org/10.2168/lmcs-4(4:5)2008

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