Danos, V., Joinet, J.-B., and Schellinx, H. (1995). LKT and LKQ: sequent calculi for second order logic based upon dual linear decompositions of classical implication. In Girard, J.-Y., Lafont, Y., and Regnier, L., editors, Advances in Linear Logic, pages 211--224. Cambridge University Press.  Home/Search   Document Not in Database   Summary   Related Articles

....1 Introduction In a recent paper ( 3] V. Danos and two of the authors gave an exhaustive analysis of the cut elimination procedure for Gentzen s sequent calculus for (firstand second order) classical logic LK, essentially by means of faithful interpretations ( decorations , cf. 7] 10] [4]) in linear logic: a classical proof is mapped to a linear proof D( in such a way that is equal to its linear image s skeleton (i.e. the classical proof that, trivially, underlies a linear one) Consequently the dynamics (i.e. behaviour under cut elimination) of D( can be pulled back ....

Danos, V., Joinet, J.-B., and Schellinx, H. (1995). LKT and LKQ: sequent calculi for second order logic based upon dual linear decompositions of classical implication. In Girard, J.-Y., Lafont, Y., and Regnier, L., editors, Advances in Linear Logic, pages 211--224. Cambridge University Press.

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