Monday, February 26, 2018

Relationships and the Relational Model


Note: This is a rewrite of several older posts (which now link here) to bring them in line with McGoveran's formalization and interpretation  of Codd's true RDM [1]. 

Revised  5/4/18.
"William Kent confesses (in my words) that he can not distinguish between "relationships" and "attributes" ... the later might be completely redundant ... the notion of an attribute presumes a relationship, so we must define that first ... All of this is handled explicitly and correctly in ORM -- we model objects (each one appears only once in a data model diagram) and relationships. There are no attributes ... an attribute is an object playing a role in a relationship with another object."
"... we are not modeling objects/entities/attribute ... at all in the relational model, [but] a bunch of relationships ... hence perhaps Codd was correct in calling it a "relation", a bunch of relationships ... Interesting that most people think of relationships as being the distinguishing characteristic of a relational model and it is not ... [it] has no relationships since Codd decreed that all relationships must be represented by foreign keys, which are exactly the same as "attributes ..."
"... isn't it funny, that the term relation is implicitly mapped (in our minds) to a table of a database? If (loosely speaking) a relationship in our conventional data modeling is represented by a foreign key in a table (and combining both points together) -- should a table (relation) consists only of foreign keys? ... What [other] type(s) of relationships can be explicitly and formally defined in a relational data model? Of course there are many other relationships which can be inferred, such as between an attribute and an entity identifier. Please give me a precise reference to where Codd spoke of relationships [differently than i]n his 1985 piece published in ComputerWorld, [where] he said that the only way to represent a relationship (between relations) was through explicitly stored values (i.e., attributes, foreign keys)."
                                                             --LinkedIn.com
 

The lack of foundation knowledge and inability to reason never ceases to amaze me. So, in the RDM "we model a bunch of relationships", but "it has no relationships" because "all relationships must be represented by foreign keys"?

It says something about the state of knowledge in the industry [2] that five decades since the RDM many data professionals still (1) do not know that relational derives not from "relationships between tables", but
from mathematical relations, which contributes to the misconception that (2) "the relational model does not have any other relationships".

Sunday, February 18, 2018

This Week

1. Database Truth

"The RDM is a formal system. It has two parts. Semantics its outside the formal language (which is Deductive Subsystem), but not outside the interpretation (i.e., application) of that language (Interpretation Subsystem). Without an Interpretation Subsystem there is no possibility of applying the formal system and it remains an abstract game of symbols."

"Codd's 1979 paper described a way to "capture" semantics using the relational formalism. That formalism doesn't tell you how to discover semantics, but if you have them, then he showed (at least to some degree) how to express those semantics relationally."

"Semantics is about applying the RDM to some subject. In effect, what you do is restrict the power of the abstract formalism so that it is more closely aligned with your intended use. In my terminology, that means you:

  • Create axioms (expressed as constraints), limiting the vocabulary to the subject matter (and making it finite and usually fairly small); and,
  • Restrict the possible interpretations that can be used consistently with the resulting subset of the formalism."
                                                          --David McGoveran


2. Do You Know What's Wrong With This Picture?

"When someone refers to a relation in a database course, what does that mean?"

"It means that it is time to go to Wikipedia."

"A relation in the context of modeling a problem will include the fields and possibly the identification of fields which have relationships with other relations."

"A relation is a data structure which consists of a heading and an unordered set of tuples which share the same type."

"I was trying to show that, in SQL, a relation is more than just a table. Queries return relations. And within a query, relational math is happening, with many intermediate results, that themselves are relations."

"A relation is an abstract structure which contains a set of attributes, and a relvar is the dataset status in a particular moment of this relation. The first one can be considered as the table definition with columns, and the second one is dataset in this table." 

"Tuples need not have a key (or any way of locating them?) Having tried to answer this question so that I could explain it to my students, I am forced to the conclusion that the theory has nothing whatsoever to do with "data" in the usual sense. Perhaps information Theory would have been a better basis for data systems, rather than Mathematics? Computer applications are notably different from Physics, which math was created to model, and its child, Engineering. I think data was never intended to be "true", it must be useful."
                  --What is a relation in database terminology?, StackOverflow.com

Sunday, February 11, 2018

The Key to Relational Keys - A New Understanding


Version 3 of paper #4 in the PRACTICAL DATABASE FOUNDATION series is now available to order here. The Key To Relational Keys: A New Understanding is a completely new, re-written version that incorporates David McGoveran's formalization and interpretation of Codd's true RDM and introduces a new perspective. It is distinct from and supersedes all previous versions.

Abstract


The dual theoretical foundation of the RDM — simple set theory (SST) expressible in first order predicate logic (FOPL) — is applicable to database management because it is a theory of unique objects and objects are unique in the real world that databases represent. In the real world objects are uniquely identified by (1) a combination of one or more defining properties and/or (2) names assigned to them as members of various groups. A database relation is a formal representation of an object group, with tuples representing (facts about) and attributes representing properties and/or names of object members. Relational keys are attributes that represent formally in the database those identifying properties and names.

Their fundamental database role notwithstanding, relational keys are poorly understood. 70% of hits @dbdebunk.com are about keys and misconceptions about their necessity, what kinds of keys are relational, their functions, their selection, and so on, abound.
This paper defines and explains:

  • The relational key concept
  • The kinds of relational keys, their properties and functions
  • The formal PK mandate
  • PK selection
  • RDBMS key support

and debunks common misconceptions.