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R.Amadio, G.Longo: A type-free look at types as parameters, to appear.

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A Polymorphic lambda-calculus with Type:Type - Cardelli (1986)   (4 citations)  (Correct)

....in . A. a. lA:Type. la:A. A. a. b 1 ) b 2 ) where b 1 and b 2 are the appropriate terms (defined by rip) selecting the first and second components of b. Finally, the relations with the theory of constructions [Coquand 85a] are very interesting, and are investigated in [Amadio 86] 11. Conclusions Intuitionistic type theory provides powerful proof systems, based on the proposition as type (proof asprogram) isomorphism, which are very promising for program verification. Such systems work only under the assumption that programs always terminate, since proofs must ....

R.Amadio, G.Longo: A type-free look at types as parameters, to appear.


A Polymorphic lambda-calculus with Type:Type - Cardelli (1986)   (4 citations)  (Correct)

.... (a:A) in . A. a. lA:Type. la:A. A. a. b 1 ) b 2 ) where b 1 and b 2 are the appropriate terms (defined by rip) selecting the first and second components of b. Finally, the relations with the theory of constructions [Coquand 85a] are very interesting, and are investigated in [Amadio 86] 11. Conclusions Intuitionistic type theory provides powerful proof systems, based on the proposition as type (proof as program) isomorphism, which are very promising for program verification. Such systems work only under the assumption that programs always terminate, since proofs must ....

R.Amadio, G.Longo: A type-free look at types as parameters, to appear.

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