# Algebraic Versus Probabilistic Independence in Data Bases.

François Bancilhon, Nicolas Spyratos:
Algebraic Versus Probabilistic Independence in Data Bases.
PODS 1985: 149-153@inproceedings{DBLP:conf/pods/BancilhonS85,
author = {Fran\c{c}ois Bancilhon and
Nicolas Spyratos},
title = {Algebraic Versus Probabilistic Independence in Data Bases},
booktitle = {Proceedings of the Fourth ACM SIGACT-SIGMOD Symposium on Principles
of Database Systems, March 25-27, 1985, Portland, Oregon},
publisher = {ACM},
year = {1985},
isbn = {0-89791-153-9},
pages = {149-153},
ee = {http://doi.acm.org/10.1145/325405.325424, db/conf/pods/BancilhonS85.html},
crossref = {DBLP:conf/pods/85},
bibsource = {DBLP, http://dblp.uni-trier.de}
}

BibTeX
## Abstract

The probabilistic independence of data base
mappings is introduced and studied. The evolution
of a data base is simulated in terms of a probabilistic
model. The occurrence of any legal data base
value is assumed to obey a probability distribution
and thus any data base mapping is modelled as a
random variable. The probabilistic independence of
data base mappings is therefore defined and compared
with the algebraic independence. The probabilistic
independence is in general a stronger condition
than the algebraic independence. The relationship
of the two notions of independence is studied and
necessary and sufficient conditions are given under
which the algebraic and the probabilistic independencies are equivalent.
*Copyright © 1985 by the ACM,
Inc., used by permission. Permission to make
digital or hard copies is granted provided that
copies are not made or distributed for profit or
direct commercial advantage, and that copies show
this notice on the first page or initial screen of
a display along with the full citation.*

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BibTeX
## Printed Edition

Proceedings of the Fourth ACM SIGACT-SIGMOD Symposium on Principles of Database Systems, March 25-27, 1985, Portland, Oregon.
ACM 1985, ISBN 0-89791-153-9

Contents BibTeX

## References

- [1]
- ...
- [2]
- ...
- [3]
- François Bancilhon, Nicolas Spyratos:
Independent Components of Databases.
VLDB 1981: 398-408 BibTeX
- [4]
- Joachim Biskup, Umeshwar Dayal, Philip A. Bernstein:
Synthesizing Independent Database Schemas.
SIGMOD Conference 1979: 143-151 BibTeX
- [5]
- Joachim Biskup, Umeshwar Dayal, Philip A. Bernstein:
Synthesizing Independent Database Schemas.
SIGMOD Conference 1979: 143-151 BibTeX
- [6]
- Joachim Biskup, Umeshwar Dayal, Philip A. Bernstein:
Synthesizing Independent Database Schemas.
SIGMOD Conference 1979: 143-151 BibTeX
- [7]
- Michael Spyratos:
A Homomorphism Theorem for Data Base Mappings.
Inf. Process. Lett. 15(3): 91-96(1982) BibTeX

## Referenced by

- Francesco M. Malvestuto:
Statistical versus Relational Join Dependencies.
SSDBM 1994: 64-73

BibTeX

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