J.-L. Krivine. A general storage theorem for integers in call-by-name #-calculus. Theor. Comp. Sc. 129, p. 79-94 (1994). Home/Search Document Not in Database Summary Related Articles Check |
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About Translations of Classical Logic into Polarized Linear.. - Laurent, Regnier (Correct)
....that if is the empty type then so is : 0 . Note that, as we announced, our restriction on : 0 types is satisfied by this translation. It is straightforward to check that the type translation rules are compatible with the term ones. 4.4. Krivine s translation Krivine s translation [12, 13] is essentially a slight amelioration of the former Godel s translation of classical into intuitionistic logic; contrarily to Plotkin s one it is type dependent. A CLC type A is associated to a lambda mu type A by the following rules: X B The two kinds of typing judgments in ....
J.-L. Krivine. A general storage theorem for integers in call-by-name -calculus. Theoretical Computer Science, 129:79--94, 1994.
A New Deconstructive Logic: Linear Logic - Danos, Joinet, Schellinx (1997) (46 citations) (Correct)
....to functions of any arity. See how natural the formulation of the theorem is, 0 being, just by virtue of its concluding sequent, a correct converter, converting classical integers to linear integers. The reader should compare this to the LJ based approaches to this same conversion problem in [22, 23, 31]. Another possibility would be the use of a calculus enabling the fusion of intuitionistic and classical reasoning (cf. 12] as in [26] Quite surprisingly we even get a stronger result. Suppose one adds to classical logic the juxtaposition rule, then the same analysis shows that 0 will now ....
Krivine, J.L.(1994b) A general storage theorem for integers in call-by-name -calculus. Theoretical Computer Science, 129:79--94.
Dependent Choice, `quote' and the Clock - Krivine (2002) Self-citation (Krivine) (Correct)
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J.-L. Krivine. A general storage theorem for integers in call-by-name #-calculus. Theor. Comp. Sc. 129, p. 79-94 (1994).
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