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H. Xi. Upper bounds for standardization and an application. To appear in the Journal of Symbolic Logic. An earlier version appeared in the Proceedings of the 5th Kurt Godel Colloquium, volume 1289 of Lecture Notes in Computer Science, pages 335--348, Springer-Verlag, 1997.

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Perpetual Reductions in λ-Calculus - van Raamsdonk, Severi.. (1999)   (6 citations)  (Correct)

....in terms of the bounds for P and Q. This technique uses implicitly a version of the fundamental lemma of maximality see the proof of the main lemma [63, p.407] Springintveld [71] applies the technique to the dependent system P and to the weak version of higher order typed calculus. Xi [85] gives a proof of the standardization theorem which provides an upper bound on the length of the standard reduction path obtained from any given reduction path, and Xi uses this to provide upper bounds for the length of reduction paths in simply typed calculus. Van Daalen proves strong ....

H. Xi. Upper bounds for standardization and an application. To appear in the Journal of Symbolic Logic. An earlier version appeared in the Proceedings of the 5th Kurt Godel Colloquium, volume 1289 of Lecture Notes in Computer Science, pages 335--348, Springer-Verlag, 1997.


Normalization in λ-Calculus and Type Theory - Sørensen (1997)   (Correct)

....in terms of the bounds for P and Q. This technique uses implicitly a version of the fundamental lemma of maximality see the proof of the main lemma [115, p.407] Springintveld [123] applies the technique to the dependent system P and to the weak version of higher order typed calculus. Xi [143] gives a proof of the standardization theorem which provides an upper bound on the length of the standard reduction path obtained from any given reduction path, and Xi uses this to provide upper bounds for the length of reduction paths in simply typed calculus. Van Daalen proves strong ....

H. Xi. Upper bounds for standardization and an application. To appear in the Journal of Symbolic Logic. An earlier version appeared in the Proceedings of the 5th Kurt Godel Colloquium, volume 1289 of Lecture Notes in Computer Science, pages 335--348, Springer-Verlag, 1997.

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