## Abstract We prove that, in the framework of ordered geometry, the inner form of the Pasch axiom (**IP**) does not imply its outer form (**OP**). We also show that **OP** can be properly split into **IP** and the weak Pasch axiom (**WP**) (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
β¦ LIBER β¦
Independence structures in the geometry of orders
β Scribed by N. D. Lane; P. Scherk; J. M. Turgeon
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 211 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0001-9054
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We introduce the notions of control and communication structures in PRAM computations and relate them to the concept of data independence. Our main result is to characterize differences between unbounded fan-in parallelism AC k , bounded fan-in parallelism NC k , and the sequential classes DSPACE(lo