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P. Giannini, F. Honsell, and S. Ronchi Della Rocca. A strongly normalizable term having no type in the System F (second order -calculus). Rapporto interno, Univ. di Torino, 1987. 36

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Typability and Type Checking in System F Are Equivalent and.. - Wells (1998)   (9 citations)  (Correct)

....of arbitrarily chosen height, every level of the strati cation of System F in [GRDR91] types a larger set of terms than the previous level. As a nal example, the following slight modi cation of the term J is strongly normalizing but not typable in System F (the rst such term was given in [GHRDR87]) v: y: z:v(yy) yz) x:Kx(x(xv)v) w:ww) Figure 3 diagrams the relationships between various undecidable problems both for F as well as for the related systems F and F , with each arrow indicating a problem reduction. Dotted arrows are trivial reductions, the light dashed arrow is a folk ....

P. Giannini, F. Honsell, and S. Ronchi Della Rocca. A strongly normalizable term having no type in the System F (second order -calculus). Rapporto interno, Univ. di Torino, 1987. 36


Typability and Type Checking in the Second-Order lambda-Calculus.. - Wells (1996)   (2 citations)  (Correct)

....of arbitrarily chosen height, every level of the stratification of System F in [GRDR91] types a larger set of terms than the previous level. As a final example, the following slight modification of the term J is strongly fi normalizing but not typable in System F (the first such term was given in [GHRDR87]) v: y:z:v(yy) yz) x:Kx(x(xv)v) w:ww) Figure 3 diagrams the relationships between the various undecidable problems both for F as well as for the related systems F and F j, with each arrow indicating a problem reduction. Dotted arrows are trivial reductions, dashed arrows indicate a folk ....

P. Giannini, F. Honsell, and S. Ronchi Della Rocca. A strongly normalizable term having no type in the System F (second order -calculus). Rapporto interno, Univ. di Torino, 1987.


Typability and Type Checking in System F Are Equivalent and.. - Wells (1998)   (9 citations)  (Correct)

....of arbitrarily chosen height, every level of the strati cation of System F in [GRDR91] types a larger set of terms than the previous level. As a nal example, the following slight modi cation of the term J is strongly normalizing but not typable in System F (the rst such term was given in [GHRDR87]) v: y: z:v(yy) yz) x:Kx(x(xv)v) w:ww) Figure 3 diagrams the relationships between various undecidable problems both for F as well as for the related systems F and F , with each arrow indicating a problem reduction. Dotted arrows are trivial reductions, the light dashed arrow is a folk ....

P. Giannini, F. Honsell, and S. Ronchi Della Rocca. A strongly normalizable term having no type in the System F (second order -calculus). Rapporto interno, Univ. di Torino, 1987.

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