Per Martin-Lof. Intuitionistic Type Theory. Notes by Giovanni Sambin of a Series of Lectures given in Padua, June  Home/Search Document Not in Database Summary Related Articles Check |
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A Polymorphic lambda-calculus with Type:Type - Cardelli (1986) (4 citations) (Correct)
....does not require any typechecking. All the key ideas presented here are fairly well known. Semantic domains where Type:Type holds were defined by Scott [Scott 76] The basic language semantics problems were solved by McCracken [McCracken 79] Dependent types come from intuitionistic type theory [Martin Lf 80] and their denotational semantics is studied by Barendregt and Rezus [Barendregt 83] Rezus 85] Relevant languages have been proposed such as Russell [Boehm 80] and Pebble [Burstall 84] Relevant formal systems have been widely studied; they include intuitionistic logic and type theory [Scott ....
.... and their denotational semantics is studied by Barendregt and Rezus [Barendregt 83] Rezus 85] Relevant languages have been proposed such as Russell [Boehm 80] and Pebble [Burstall 84] Relevant formal systems have been widely studied; they include intuitionistic logic and type theory [Scott 70] Martin Lf 80] second order lambda calculus [Girard 72] Reynolds 74] Fortune 83] Bruce 84] Automath [de Bruijn 80] Barendregt 83] the theory of constructions [Coquand 85a, 85b] the foundations of Russell [Hook 84] Donahue 85] and a calculus with Type:Type [Meyer 86] Somehow, a clear connection ....
P.Martin-Lf, Intuitionistic type theory, Notes by Giovanni Sambin of a series of lectures given in Padova, June 1980.
Naïve Type Theory - Constable (2002) Self-citation (Theory) (Correct)
....Functional Programming, by Thompson [103] and Programming in Martin Lof s Type Theory [86] by Nordstrom, Petersson and Smith. A recent book by Ranta, Type theoretical Grammar [93] has a good general account of type theory. Martin Lof type theory is presented in his Intuitionistic Type Theory [80] and Constructive Mathematics and Computer Programming [79] Section 2 Subtypes and Set Types The notion of subtype is not very thoroughly presented in the literature. There is the article by Constable and Hickey [39] which cites the basic literature. Another key paper is by Pierce and Turner ....
Per Martin-Lof. Intuitionistic Type Theory. Notes by Giovanni Sambin of a Series of Lectures given in Padua, June
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