Logics for Databases and Information Systems, Softcover reprint of the original 1st ed. 1998 The Springer International Series in Engineering and Computer Science Series, Vol. 436

Time is ubiquitous in information systems. Almost every enterprise faces the problem of its data becoming out of date. However, such data is often valu­ able, so it should be archived and some means to access it should be provided. Also, some data may be inherently historical, e.g., medical, cadastral, or ju­ dicial records. Temporal databases provide a uniform and systematic way of dealing with historical data. Many languages have been proposed for tem­ poral databases, among others temporal logic. Temporal logic combines ab­ stract, formal semantics with the amenability to efficient implementation. This chapter shows how temporal logic can be used in temporal database applica­ tions. Rather than presenting new results, we report on recent developments and survey the field in a systematic way using a unified formal framework [GHR94; Ch094]. The handbook [GHR94] is a comprehensive reference on mathematical foundations of temporal logic. In this chapter we study how temporal logic is used as a query and integrity constraint language. Consequently, model-theoretic notions, particularly for­ mula satisfaction, are of primary interest. Axiomatic systems and proof meth­ ods for temporal logic [GHR94] have found so far relatively few applications in the context of information systems. Moreover, one needs to bear in mind that for the standard linearly-ordered time domains temporal logic is not re­ cursively axiomatizable [GHR94]' so recursive axiomatizations are by necessity incomplete.

1. Introduction to Logics for Databases and Information Systems; J. Chomicki, G. Saake. 2. A Logic Primer; S. Conrad. 3. Temporal Logic in Information Systems; J. Chomicki, D. Toman. 4. The Role of Deontic Logic in the Specification of Information Systems; J.-J.Ch. Meyer, et al. 5. A Logic for Programming Database Transactions; A.J. Bonner, M. Kifer. 6. Logics for Specifying Concurrent Information Systems; H.-D. Ehrich, et al. 7. Evolving Logical Specification in Information Systems; S. Conrad, et al. 8. Description Logics for Conceptual Data Modeling; D. Calvanese, et al. 9. Integrity Constraints: Semantics and Applications; P. Godfrey, et al. 10. Logical Approaches to Incomplete Information: A Survey; R. van der Meyden. 11. Declarative Frameworks for Inheritance; L.V.S. Lakshmanan, K. Thirunarayan. 12. On Logical Foundations of Active Databases; G. Lausen, et al. Index.

The designers and users of present-day information systems deal with more and more complex applications that have to meet stringent quality requirements. In this context, logic offers a wide variety of formalisms that can be applied to the specification, analysis, and prototype implementation of information systems. Such formalisms, e.g., temporal logic, provide a sound semantic basis for further extensions and for the development of practical database languages. Logics for Databases and Information Systems addresses novel applications of logical frameworks to the problems of database integrity and dynamics, handling time and change, concurrency, incomplete information, data modeling, and property inheritance. Each topic is discussed by leading researchers in the field. Logics for Database