ENGLISH

PX, a computational logic

By Susumu Hayashi , Hiroshi Nakano

Book information

Publisher
MIT Press
Year
1988
ISBN
9780262081740, 0262081741
LCC
QA76.9.A96 H39 1988
Open Library ID
OL2527509M
Language
english
Format
PDF
Filesize
2 MB (1769550 bytes)
Series
Foundations of computing
Pages
205\205
Time added
2009-08-06 05:14:26

Description

The computational logic PX (Program eXtractor) is used to verify programs, extract programs from constructive proofs, and give foundations to type theories. While it is well known theoretically that programs can be extracted from constructive proofs, this study shows how it can be done in practice. The authors give a precise description of the formal theory of PX, its semantics, the mathematical foundation of program extraction using PX, and several methodologies and their theories of program extraction. They also describe an experimental implementation of PX. Contents: Introduction. Formal System. Realizability. Writing Programs via proofs. PX as a foundation of type theories. Semantics. Implementing PX. Susumu Hayashi is a research associate and Hiroshi Nakano a graduate student, both at the Research Institute of Mathematical Sciences at Kyoto University. PX: A Computational Logic is included in the Foundations of Computing series edited by Michael Garey and Albert Meyer.

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