@string{brics = "{BRICS}"}
@string{daimi = "Department of Computer Science, University of Aarhus"}
@string{iesd = "Department of Mathematics and Computer Science, Aalborg University"}
@string{rs = "Research Series"}
@string{ns = "Notes Series"}
@string{ls = "Lecture Series"}
@string{ds = "Dissertation Series"}
@TechReport{BRICS-LS-97-1,
author = "Jan Chomicki and David Toman",
title = "Temporal Logic in Information Systems",
institution = brics,
year = 1997,
type = ls,
number = "LS-97-1",
address = daimi,
month = nov,
note = "viii+42~pp. Full version to appear in: Logics for
Database and Information Systems, Chomicki and Saake
(eds.), Kluwer Academic Publishers, 1998.",
abstract = "Temporal logic is obtained by adding temporal connectives
to a logic language. Explicit references to time are
hidden inside the temporal connectives. Different
variants of temporal logic use different sets of such
connectives. In this chapter, we survey the fundamental
varieties of temporal logic and describe their
applications in information systems.\bibpar
Several features of temporal logic make it especially
attractive as a query and integrity constraint language
for temporal databases. First, because the references to
time are hidden, queries and integrity constraints are
formulated in an abstract, representation-independent
way. Second, temporal logic is amenable to efficient
implementation. Temporal logic queries can be translated
to an algebraic language. Temporal logic constraints can
be efficiently enforced using auxiliary stored
information. More general languages, with explicit
references to time, do not share these properties.\bibpar
Recent research has proposed various implementation
techniques to make temporal logic practically useful in
database applications. Also, the relationships between
different varieties of temporal logic and between
temporal logic and other temporal languages have been
clarified. We report on these developments and outline
some of the remaining open research problems.
\subsubsection*{Contents}
\begin{itemize}
\item[1] Introduction
\item[2] Temporal Databases
\begin{itemize}
\item[2.1] Abstract Temporal Databases
\item[2.2] Relational Database Histories
\end{itemize}
\item[3] Temporal Queries
\begin{itemize}
\item[3.1] Abstract Temporal Query Languages
\item[3.2] Expressive Power
\item[3.3] Space-efficient Encoding of Temporal Databases
\item[3.4] Concrete Temporal Query Languages
\item[3.5] Evaluation of Abstract Query Languages using
Compilation
\item[3.6] SQL and Derived Temporal Query Languages
\end{itemize}
\item[4] Temporal Integrity Constraints
\begin{itemize}
\item[4.1] Notions of constraint satisfaction
\item[4.2] Temporal Integrity Maintenance
\item[4.3] Temporal Constraint Checking
\end{itemize}
\item[5] Multidimensional Time
\begin{itemize}
\item[5.1] Why Multiple Temporal Dimensions?
\item[5.2] Abstract Query Languages for
Multi-dimensional Time
\item[5.3] Encoding of Multi-dimensional Temporal Databases
\end{itemize}
\item[6] Beyond First-order Temporal Logic
\item[7] Conclusion
\end{itemize}",
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