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We now proceed to describe what we perceive to be the central idea of TSQL2. Now, as every student of temporal databases quickly becomes aware, queries involving intervals (temporal or otherwise) can be surprisingly tedious or difficult or both to express. And while it is true that the various operators discussed in reference [6] Allen s operators, PACK and UNPACK, and (especially) the so-called U_ operators can help in this regard, some degree of both tedium and difficulty still remains, even when those shorthands are used. Accordingly, it is a goal of TSQL2 to simplify matters still further. And it appears that such further simplification might be possible in a certain very special case; to be specific, it might be possible if and only if the query under consideration satisfies all four of the following conditions (labeled C1-C4 for purposes of subsequent reference). C1: The output table i.e., the final result has at most one (hidden) valid-time column and at most one (hidden) transaction-time column. C2: The output table has at least one additional (regular) column, over and above any hidden valid- or transaction-time column.
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6. The term state here corresponds to reference [6] s use of the term during i.e., it refers to the idea that something is true, or believed to be true, throughout some period (interval). It is contrasted with the term event, which corresponds to reference [6] s use of the term at i.e., it refers to the idea that something is true (or believed to be true) at a certain point in time.
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CHAPTER 28 AN OVERVIEW AND ANALYSIS OF PROPOSALS BASED ON THE TSQL2 APPROACH
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C3: Every input or intermediate-result table satisfies these same properties at most one hidden valid-time column, at most one hidden transaction-time column, and at least one additional regular column. C4: Every hidden valid-time column in every input, output, or intermediate-result table involved at any point in the query is of exactly the same data type.7 Let us examine these conditions a little more carefully. Here again is the first one (now stated a little more simply): C1: The result has at most one valid-time column and at most one transaction-time column. This condition clearly derives from the fact that TSQL2 tables have at most one valid-time column and at most one transaction-time column (both hidden, of course). Here by way of example is a Tutorial D query that satisfies the condition (though of course the valid- and transaction-time columns i.e., the stated- and logged-time attributes, in the terminology of reference [6] are not hidden in Tutorial D): WITH ( SP_DURING RENAME ( P# AS XP# ) ) AS T1 , ( SP_DURING RENAME ( P# AS YP# ) ) AS T2 : USING DURING T1 JOIN T2 Note: Relvar SP_DURING represents the predicate Supplier S# was able to supply part P# throughout interval DURING. Thus, the query returns a result with predicate Supplier S# was able to supply both part XP# and part YP# throughout interval DURING. That result thus certainly does have at most one stated-time attribute and at most one logged-time attribute; in fact, it has exactly one stated-time attribute, called DURING (which shows when supplier S# was able to supply both part XP# and part YP#), and no logged-time attribute at all. As a matter of fact, this same query satisfies Conditions C3 and C4 as well. Here again are those conditions (now slightly simplified): C3: Every input or intermediate-result table has at most one valid-time column, at most one transaction-time column, and at least one additional column. C4: Every valid-time column in every input, output, or intermediate-result table is of exactly the same data type. Condition C3 derives from two facts first, the fact that, again, TSQL2 tables have at most one (hidden) valid-time column and at most one (hidden) transaction-time column; second, the fact that regular SQL tables must have at least one column. Condition C4 derives, in part, from the fact that TSQL2 makes use of statement modifiers to express queries, as we will see, and those modifiers are global, in the sense that they are meant to apply uniformly to every table involved in the query in question. (We say meant to here advisedly; whether they actually do so is another matter. We will return to this point later.)
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7. In fact Condition C4 applies to transaction-time columns as well, but transaction times in TSQL2 are always of a data type that is chosen by the DBMS.
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