Light Logics and the Call-by-Value Lambda Calculus

Paolo Coppola, Ugo Dal Lago, Simona Ronchi Della Rocca, Harry Mairson
2008 Logical Methods in Computer Science  
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.
doi:10.2168/lmcs-4(4:5)2008 fatcat:li2b2uivfrc23lxtselbo6eszi