### mewsings, a blog

###### Friday, January 20, 2006

### The Naked Model

Strip the term *relational* from *relational model* and you have an unadorned *model*. So as not to confuse this with other possible meanings, we should be more precise. This model is typically termed a *data model*. A data model is employed in the design, construction, and maintenance of computer software systems.

The goal of this article is to get us to a common understanding of the term *data model* while also giving more indication of where these mewsings are headed. Before zeroing in on the meaning of *data model*, let's look at some similar terms used in software development that are **NOT** the same. For example, is this *data model* minus the *relational* adjective a...

...Conceptual Data Model (CDM)? **Nope.**

The CDM results from analyzing an area to be automated, capturing requirements, and communicating these between those who know the subject areas and those who will develop a software system. While the CDM can be highly informal, there are many techniques for adding rigor, including the use of Entity-Relationship or UML class Diagrams.

...Logical Data Model (LDM)? **Nope.**

This is the one that concerns me. Please don't confuse the naked *data model* with the logical data model, OK? The LDM results from structuring a specific CDM and communicating that structure to the computer.

...Physical Data Model (PDM)? **Nope.**

Only those writing the low-level database software need to know anything about the physical model, in theory (knowing grin goes here). Pretty much the only time you will hear me talk about the physical data model is if I am saying that I am not talking about the physical data model.

Each of these three glossary entries is related to a particular problem space being modeled for incorporation in a computer system. The data model we are talking about is more abstract. Data models such as the RM relate to all LDMs.

Now that we know what our *data model* is not, let's turn our attention to what it is. The Relational Model (RM), introduced in an earlier blog, is a sweet, tight, mathematical model based on set theory and predicate logic. While you might have a hint that I'm putting the RM on trial over the course of these mewsings, I really do appreciate predicate logic and adore set theory. I applaud the cleverness in modeling data with both set theory and predicate logic. It can be quite useful. For example, if we organize data and prepare query languages aligned with first order predicate logic, we can prove that our queries will return accurate results with respect to the data. Also, if we choose a mathematically simplified data model, we can implement a mathematically simplified query language.

In addition to appreciating mathematics, I also like religion. But I hope to debunk some of the religion that has come along with the application of these mathematics to data. The current use of the RM has been pervasive-enough in the industry that it will take me some time to lay out a case. If all goes well, I plan to have closing arguments sometime before the end of 2006. I will also admit that while I think I have a good case, I don't have it all formed into words in my head just waiting to hit paper. Writing in blog-sized units should help me refine and crystalize my thinking. I hope that you, the jury, enjoy taking the journey through the evidence with me.

I would like to enter into evidence the Information Principle as Exhibit A. I will use a quotation from C. J. Date who is quoting E. F. (Ted) Codd. Both of these men have been at the center of relational data modeling.

###### Exhibit A: The Information Principle

"The Information Principle (which I heard Ted refer to on occasion as the fundamental principle underlying the relational model)...

The entire information content of a relational database is represented in one and only one way: namely, as attribute values within tuples within relations." (Date)

A data model is related to the representation of data

Tuck this point away: a data model is related to the representation of data. Now let's move on to a definition of a generic data model, using Date to rephrase Codd.

Codd defines a data model in a 1980 paperData models in database management. By his definition a data model consists of a collection of data structure types, operators that can be applied to instances of these types and consistency rules that define valid states for the data.

Objects, operators, and, effectively, rules for assignment. Hmmm. If we were to *implement* a data model what would we have? Let's take a look at a recent definition of *data model* from Date.

Adata modelis an abstract, self-contained, logical definition of the objects, operators, and so forth, that together constitute theabstract machinewith which users interact. The objects allow us to model thestructureof data. The operators allow us to model itsbehavior. (Date,An Introduction to Database Systems, 8e, p 15-16)

The implementation of a data model is a programming language

The implementation of a data model is a programming language, whether a general purpose programming language or not. Also, each programming language provides an implementation of a data model or perhaps more than one. Put another way, a data model is an abstraction of a programming language or programming sublanguage.

Now that we have some clarification of the term *data model*, I will make a claim that is likely agreeable to readers as I have never heard anyone argue otherwise. The RM is not necessary. Any software that can be written while employing the RM could be written without it. In a future blog I will also show that it is not sufficient. Once we are all on the same page that the RM is neither necessary nor sufficient, we can look at what the purpose of the RM is and discuss its comparative usefulness.

If you are thinking that the RM need not be obvious in a developer's programming language but could be hidden behind the scenes, then my work is done. That would mean that no computer language would need to use the Information Principle, and neither you nor I would need to use the RM as a data model.