Tuple sequences and lexicographic indexes
Journal of the ACM (JACM)
Sort sets in the relational model
Journal of the ACM (JACM)
Principles of database and knowledge-base systems, Vol. I
Principles of database and knowledge-base systems, Vol. I
Temporal databases: theory, design, and implementation
Temporal databases: theory, design, and implementation
Relational database theory
PODS '93 Proceedings of the twelfth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
DBMS support for time and totally ordered compound data types
Information Systems
Computational problems related to the design of normal form relational schemas
ACM Transactions on Database Systems (TODS)
Testing implications of data dependencies
ACM Transactions on Database Systems (TODS)
Testing satisfaction of functional dependencies
Journal of the ACM (JACM)
Oracle: The Complete Reference
Oracle: The Complete Reference
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
The Design and Implementation of a Sequence Database System
VLDB '96 Proceedings of the 22th International Conference on Very Large Data Bases
The Development of Ordered SQL Packages for Modelling Advanced Applications
DEXA '97 Proceedings of the 8th International Conference on Database and Expert Systems Applications
An extension of SQL to support ordered domains in relational databases
IDEAS'97 Proceedings of the 1997 international conference on International database engineering and applications symposium
An extension of the relational data model to incorporate ordered domains
ACM Transactions on Database Systems (TODS)
Extending Functional Dependencies in Indefinite Sequence Relations
ER '99 Proceedings of the 18th International Conference on Conceptual Modeling
Fundamentals of order dependencies
Proceedings of the VLDB Endowment
Expressiveness and complexity of order dependencies
Proceedings of the VLDB Endowment
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We propose the ordered relational model and define Lexicographically Ordered Functional Dependencies (LOFDs) according to the lexicographical ordering on the Cartesian product of the domains associated with the involved attributes. An LOFD in the ordered relational model captures the semantics of a monotonicity property between two sets of data. We establish a set of sound and complete chase rules for LOFDs, and show that the implication problem for LOFDs is decidable. Defining temporal relations as a special case of linearly ordered relations over schemas consisting of the time, time-variant, and time-invariant attributes, we demonstrate that LOFDs are a useful semantic constraint, which can be employed to maintain the consistency between the time data in different time measurement systems. We also formally define Temporal Functional Dependencies (TFDs) in order to express the semantics of the temporally ordered data. A TFD can be expressed in term of a set of LOFDs, in which every element has a sequence of time attributes on its left-hand side and a single time-variant attribute on its right-hand side. Finally, we exhibit a sound and complete axiom system for TFDs.