## Some Suggestions on Mathematics Relevant to the Database Theory

### BibTeX

@MISC{Diskin_somesuggestions,

author = {Zinovy Diskin and Boris Cadish},

title = {Some Suggestions on Mathematics Relevant to the Database Theory},

year = {}

}

### OpenURL

### Abstract

. In the paper there is discussed a mathematical framework suitable for specificational problems of modern theory of databases. The main thesis is that a proper framework for a majority of hot problems should be built on the ground of graph-based logic and algebra as opposed to string-based logics and algebras over sets currently employed in the DB theory. Such a graph-based machinery was developed in the mathematical category theory so that the latter can provide a proper foundation. The general problem of building the categorial framework for the DB theory is decomposed into a sequence of special tasks. ? Supported by Grant 94.315 from the Latvian Council of Science Since the seminal Codd's papers, databases (DBs) became one of the most theoretically supported branches of computer technologies. Indeed, the seventies were the time of relational model (RDM), and a major factor in that success was the existence of data definition/manipulation languages possessing precise yet easy-to-...