### Abstract

Structured data are generally composed from constituent parts by constructors and decomposed by selectors. The authors prove that the usual many-sorted algebra approach to abstract data types cannot capture the simple intuition in a satisfactory way. They also show that order-sorted algebra does solve this problem, and many others concerning ill-defined and erroneous expressions, in a simple and natural way. In particular, they show how order-sorted algebra supports an elegant solution to the problems of multiple representations and coercions. The essence of order-sorted algebra is that sorts have subsorts, whose semantic interpretation is the subset relation on the carriers of algebras.

Original language | English (US) |
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Title of host publication | Unknown Host Publication Title |

Publisher | IEEE |

Pages | 18-29 |

Number of pages | 12 |

ISBN (Print) | 0818607939 |

State | Published - Jan 1 1987 |

Externally published | Yes |

### ASJC Scopus subject areas

- Software
- Mathematics(all)

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## Cite this

*Unknown Host Publication Title*(pp. 18-29). IEEE.