Friday, October 11, 2019

Data Sublanguage Part 3: DBMS Language




Note: 10/10/2019 significantly revised Part 2, which requires a re-read.

A formal data model consists of structure, integrity and manipulation[1,2] and so requires (1) a language that expresses data manipulation (retrievals and updates) augmented with (2) a metalanguage used to define the model's structural elements. As we showed in Part 1  and Part 2, when the data model is the RDM:

  • Data sublanguage is short for a relationally complete data manipulation sublanguage (DML) that expresses  retrievals and updates, the latter correctly understood as set-theoretic relation transformations.
  • A data definition sublanguage (DDL) is a metalanguage for DML that is outside the theory but consistent with the RDM and at least as powerful expressively as the DML (e.g., a very carefully restricted SOL to avoid self-referencing).
  • The DML and the DDL can, for practical purposes, be carefully unified into what Codd called a "comprehensive data sublanguage", but we prefer DBMS language to avoid confusion.
By carefully we mean that because only the DML is, strictly speaking, based on relational theory, the DDL must be consistent with, but differentiated from it, such that the two can't be mixed in the same expression in a way that the former subverts the latter. A DML expression can be referenced as a sub-expression by a DDL expression (e.g., as in view definitions), but only if it contains strictly retrievals (e.g., SELECT) and no updates (e.g., INSERT, UPDATE, DELETE).

Note: Data definition and manipulation are possible without a DBMS. However:

“With a relational catalog, definition can be performed via the RA, which requires physical implementation to be determined exclusively by the catalog (behind the scenes as it were) -- a kind of skeletal, primitive, or rudimentary DBMS. This is why Codd created a relational catalog that contains a description of the database and could be managed using RA-based DML. It works well unless one is allowed to mix DDL (metalanguage) with DML (language) in the same expression. Otherwise put, the database can be read to modify the catalog, but not vice-versa (as far as the DML is concerned, the catalog that describes the database does not exist).

But with a data model that, unlike the RDM, does not define a catalog such that the same language can be used for both database and it, a rudimentary DBMS must provide a workaround, and if the model is computationally complete (like CODASYL was), there must limits on how "active" the catalog is to prevent users from writing self-referencing expressions that cannot be automatically implemented because they may corrupt the database (same as would mixing data sublanguage and host language). This is one reason some of the pre-RDM directed graph DBMSs had limited notions of catalog that often required completely separate facilities to maintain.”
                                                 --David McGoveran

The DML and the DDL express two core data management functions centralized in the DBMS. When the data model is the RDM, only data management functions are permitted to access the data. At the end of Part 2 we alluded to other such functions that, like data definition, are outside relational theory, but must be consistent with the RDM.

Friday, October 4, 2019

Testing Your Foundation Knowledge




The Web is chockful of unnoticed/unquestioned pronouncements by novices or "experts", many self-taught, that are (1) wrong, or (2) gobbledygook. Any attempt to demonstrate lack of foundation knowledge underlying these misconceptions and their practical implications are usually dismissed as "theory, not practical", attacked as "insulting ad-hominem", or ignored altogether, regardless of the amount and quality of the supporting evidence and argument logic. This is understandable: in the absence of foundation knowledge and ability to reason, it is by definition impossible to comprehend and appreciate corrections that require them.

Practitioners who cannot detect such misconceptions and understand their practical implications and the importance thereof are insufficiently prepared for a professional career in data management. Worse, they cannot associate problems with their real causes and, thus, cannot come up with proper solutions, which explains the industry's "cookbook approach" and succession of fads.

What about you? This is another batch in the Test Your Foundation Knowledge regular series of posts of online statements reflecting common misconceptions that are difficult to discern without foundation knowledge. You can test yours by trying to debunk them in Comments, including what category, (1) or (2) do they fall in? If you can't, proper education is in order.


Friday, September 27, 2019

Data Sublanguage Part 2: Data Manipulation and Definition




Revised 10/10/2019.

In Part 1 we showed that Codd intended in 1969 to base the RDM on axiomatic set theory (AST) and second order logic (SOL) to accommodate relation-valued domains (RVD) (i.e., sets of sets), but that for the benefit of relational advantages and to avoid SOL problems he had to trade off the expressive power of AST/SOL for the simple set theory (SST) of proper sets (i.e., relations in normal form) expressible in first order predicate logic (FOPL) and, thus, computational for relational completeness[1]. He retained the power of the former for applications by hosting a relationally complete FOPL-based language expressing the RA in computationally complete programming languages (CCL).

We also alerted to an important, but unnoticed detail: data sublanguage appeared in the 1970 paper -- in 1969 Codd referred to retrieval sublanguage. This can be understood only with reference to the theoretical foundation of the RDM.


Wednesday, September 25, 2019

Testing Your Foundation Knowledge



The Web is chockful of unnoticed/unquestioned pronouncements by self-taught novices or "experts" that are (1) wrong, or (2) gobbledygook. Any attempt to demonstrate lack of foundation knowledge underlying these misconceptions and their practical implications are usually dismissed as "theory that is not practical", attacked as "insulting ad-hominem", or ignored altogether, regardless of the amount and quality of the supporting evidence and argument logic. This is understandable: in the absence of foundation knowledge and ability to reason, it is by definition impossible to comprehend and appreciate corrections that require them.

I have always contended that practitioners who cannot detect such misconceptions, and understand their practical implications and the importance thereof are insufficiently prepared for a professional career in data management. Worse, neither can they associate problems with their real causes and, thus, cannot come up with proper solutions, which explains the industry's "cookbook approach" and succession of fads.

What about you? This is another batch in the Test Your Foundation Knowledge regular series of posts of online statements reflecting common misconceptions that are difficult to discern without foundation knowledge. You can test yours by trying to debunk them in Comments -- what category, (1) or (2) do they fall in? 

Sunday, September 22, 2019

Data Sublanguage Part 1: Relational vs. Computational Completeness




Note: I have revised the "Logical Access, Data Sublanguage, Kinds of Relations, Database Redundancy, and Consistency" paper in the "Understanding the Real RDM" series" (available from the PAPERS page) for consistency with this post.

“Recently I have read that SQL is actually a data sublanguage and not a programming language like C++ or Java or C# ... The answers ... have the pattern of "No, it is not. Because it's not Turing complete.", etc, etc. ... I am a bit confused, because since you can develop things through SQL, I thought it is similar to other programming languages ... I am curious about knowing why exactly is SQL not a programming language? Which features does it lack? (I know it can't do loops, but what else more?)”
--StackOverflow.com
“The SQL operators were meant to implement the relational algebra as proposed by Dr. Ted Codd. Unfortunately Dr. Codd based some of his ideas on a "extended set theory", which was an idea formulated and described in a 1977 paper by D. L. Childs ... But Childs’ extensions were not ideally suited, which is explained in quite some detail in [a] book ... by Professor Gary Sherman & Robin Bloor [who] argue that mainstream Zermelo-Fraenkel set theory (Cantor), would have been a better starting point. One key issue is that sets should be able to be sets of sets.”
--Dataversity.net

The concept of a sublanguge cannot be understood without foundation knowledge and familiarity with the history of the database management field, both lacking in the industry.

Tuesday, September 17, 2019

Testing Your Foundation Knowledge



The Web is chockful of unnoticed/unquestioned pronouncements by novices or "experts", many self-taught, that are (1) wrong, or (2) gobbledygook. Any attempt to demonstrate lack of foundation knowledge underlying these misconceptions and their practical implications are usually dismissed as "theory, not practical", attacked as "insulting ad-hominem", or ignored altogether, regardless of the amount and quality of the supporting evidence and argument logic. This is understandable: in the absence of foundation knowledge and ability to reason, it is by definition impossible to comprehend and appreciate corrections that require them.

Practitioners who cannot detect such misconceptions and understand their practical implications and the importance thereof are insufficiently prepared for a professional career in data management. Worse, they cannot associate problems with their real causes and, thus, cannot come up with proper solutions, which explains the industry's "cookbook approach" and succession of fads.

What about you? This is another batch in the Test Your Foundation Knowledge regular series of posts of online statements reflecting common misconceptions that are difficult to discern without foundation knowledge. You can test yours by trying to debunk them in Comments, including what category, (1) or (2) do they fall in? If you can't, proper education is in order.


Sunday, August 25, 2019

Meaning Criteria and Entity Supertype-Subtypes Relationships




Note: This is a re-write of a previous post.
"I have a database for a school ... [with] numerous tables obviously, but consider these:
CONTACT - all contacts (students, faculty): has fields such as LAST, FIRST, ADDR, CITY, STATE, ZIP, EMAIL;
FACULTY - hire info, login/password, foreign key to CONTACT;
STUDENT - medical comments, current grade, foreign key to CONTACT."
"Do you think it is a good idea to have a single table hold such info? Or, would you have had the tables FACULTY and STUDENT store LAST, FIRST, ADDR and other fields? At what point do you denormalize for the sake of being more practical? What would you do when you want to close out one year and start a new year? If you had stand-alone student and faculty tables then you could archive them easily, have a school semester and year attached to them. However, as you go from one year to the next information about a student or faculty may change. Like their address and phone for example. The database model now is not very good because it doesn’t maintain a history. If Student A was in school last year as well but lived somewhere else would you have 2 contact rows? 2 student rows?  Or do you have just one of each and have a change log. Which is best?"
How would somebody who "does not know past, or new requirements, modeling, and database design" and messes with a working database just because "he heard something about (insert your favorite fad here)" figure out correct from bad answers? Particularly if the answers suffer from the same lack of foundation knowledge as the question?
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