Define a finite simple group J to be of J -type or simply J provided that J 4 4 contains an involution z with C z ; 2 1q 12 3 Aut Mat . Ε½ . ## J q 22 The purpose of this paper is to give the first computer-free construction of a group of J type. In addition, we achieve yet another uniqueness pro
A Free Construction of Dynamic Terms
β Scribed by Egidio Astesiano; Elena Zucca
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 561 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0022-0000
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β¦ Synopsis
In this paper we show that it is possible to extend in a natural way to the dynamic case some basic results of the classical approach to (static) data types. Within an appropriate framework of dynamic structures (called d-oids), which play the same role as algebras in the static case, we define a language of dynamic terms, also enjoying the property of unique canonical representation; moreover, dynamic terms constitute a free structure whenever the static terms in the underlying static framework are so. As a main application of the above construction, we get a rather elegant kernel language for recursive definitions of dynamic derived operations, which parallels the well-known McCarthy's schema for a kernel applicative language. This kernel language can be seen also as a metalanguage for expressing the semantics of concrete (e.g., imperative or object-based) languages.
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