Induction and recursion on datatypes

Autor: Doornbos, H., Backhouse, R.C., Möller, B.
Přispěvatelé: Mathematics and Computer Science
Jazyk: angličtina
Rok vydání: 1995
Předmět:
Zdroj: Mathematics of Program Construction (Proceedings 3rd International Conference, MPC'95, Kloster Irsee, Germany, July 17-21, 1995), 242-256
STARTPAGE=242;ENDPAGE=256;TITLE=Mathematics of Program Construction (Proceedings 3rd International Conference, MPC'95, Kloster Irsee, Germany, July 17-21, 1995)
Lecture Notes in Computer Science ISBN: 9783540601173
MPC
Popis: A new induction principle is introduced. The principle is based on a property of relations, called reductivity, that generalises the property of admitting induction to one relative to a given datatype. The principle is used to characterise a broad class of recursive equations that have a unique solution and is also related to standard techniques for proving termination of programs. Methods based on the structure of the given datatype for constructing reductive relations are discussed.
Databáze: OpenAIRE