J-Y.Girard: Interprtation fonctionelle et limination des coupures dans l'arithmtique d'ordre suprieur, Thse de doctorat d'tat, University of Paris, 1972. Home/Search Document Not in Database Summary Related Articles Check |
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A semantic basis for Quest - Cardelli, Longo (1990) (40 citations) (Correct)
....and in combination with quantifiers results in bounded polymorphic functions and partially abstract types. Subtyping is realized in a uniform way throughout the system via a notion of power kind, where P (A) is the kind of all subtypes of A. Formally, Quest is an extension of Girard s Fw [Girard 72] with additional kind structure, subtyping structure, recursive types, and fixpoints at all types. Alternatively, it is a higher order extension of the calculus studied in [Curien Ghelli 90] which is the kernel of the calculus in [Cardelli Wegner 85] Recursion is necessary to model programming ....
.... T 7 P (Top) the kind of all types P(X)L 7 P(X: T )L P(X :A)L 7 P(X: P (A) L P(X)B 7 P(X: T )B P(X :A)B 7 P(X: P (A) B l(X)B 7 l(X: T )B l(X :A)B 7 l(X: P (A) B l(X)b 7 l(X: T )b l(X :A)b 7 l(X: P (A) b From the abbreviations above we can see that this calculus includes all the terms of Fw [Girard 72] and Fun [Cardelli Wegner 85] Page 7 2.2 Judgments The formal rules are based on eight primitive judgment forms plus three derived ones, listed below. # E env E is an environment E # K kind K is a kind (in an environment E) E # A: K type A has kind K E # A type A is a type (abbr. for E # ....
[Article contains additional citation context not shown here]
J-Y.Girard: Interprtation fonctionelle et limination des coupures dans l'arithmtique d'ordre suprieur, Thse de doctorat d'tat, Universit Paris VII, 1972.
A semantic basis for Quest - Luca Cardelli Giuseppe (1990) (40 citations) (Correct)
....and in combination with quantifiers results in boundedpolymorphic functions and partially abstract types. Subtyping is realized in a uniform way throughout the system via a notion of power kind, where P (A) is the kind of all subtypes of A. Formally, Quest is an extension of Girard s Fw [Girard 72] with additional kind structure, subtyping structure, recursive types, and fixpoints at all types. Alternatively, it is a higher order extension of the calculus studied in [Curien Ghelli 90] which is the kernel of the calculus in [Cardelli Wegner 85] Recursion is necessary to model programming ....
.... T 7 P (Top) the kind of all types P(X)L 7 P(X: T )L P(X :A)L 7 P(X: P (A) L P(X)B 7 P(X: T )B P(X :A)B 7 P(X: P (A) B l(X)B 7 l(X: T )B l(X :A)B 7 l(X: P (A) B l(X)b 7 l(X: T )b l(X :A)b 7 l(X: P (A) b From the abbreviations above we can see that this calculus includes all the terms of Fw [Girard 72] and Fun [Cardelli Wegner 85] 2.2 Judgments The formal rules are based on eight primitive judgment forms plus three derived ones, listed below. # E env E is an environment E # K kind K is a kind (in an environment E) E # A: K type A has kind K E # A type A is a type (abbr. for E # A: T ) ....
[Article contains additional citation context not shown here]
J-Y.Girard: Interprtation fonctionelle et limination des coupures dans l'arithmtique d'ordre suprieur, Thse de doctorat d'tat, Universit Paris VII, 1972.
Operations on Records - Cardelli, Mitchell (1993) (67 citations) (Correct)
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J-Y.Girard: Interprtation fonctionelle et limination des coupures dans l'arithmtique d'ordre suprieur, Thse de doctorat d'tat, University of Paris, 1972.
Operations on Records - Cardelli, Mitchell (1991) (67 citations) (Correct)
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J-Y.Girard: Interprdtation fonctionelle et aliiruination des coupures dans l'arithmdtique d'ordre supdrieur, Thse de doctorat d'6tat, University of Paris, 1972.
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