Higher order programming in QPC2: a case study of map-function

Abstract: "This paper describes the technique of defining programs in second order intuitionistic logic and generating efficient programs. QPC², a second order constructive logic, is presented and a variant of realizability, proof normalization, extended projection method, and various other tec...

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Bibliographic Details
Main Author: Takayama, Yukihide (Author)
Format: Book
Language:English
Published: Tokyo, Japan 1989
Series:Shin-Sedai-Konpyūta-Gijutsu-Kaihatsu-Kikō <Tōkyō>: ICOT technical report 515
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Summary:Abstract: "This paper describes the technique of defining programs in second order intuitionistic logic and generating efficient programs. QPC², a second order constructive logic, is presented and a variant of realizability, proof normalization, extended projection method, and various other techniques are used to generate programs from the definitions. The examples of map, ap (map, succ), and ap (map, even-odd), where even-odd returns boolean values according to input natural numbers, are investigated, and quite natural and efficient programs are extracted."
Physical Description:34 S.

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