By John Bell, Moshe Machover
A entire one-year graduate (or complex undergraduate) direction in mathematical good judgment and foundations of arithmetic. No prior wisdom of common sense is needed; the publication is acceptable for self-study. Many routines (with tricks) are integrated.
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Extra resources for A Course in Mathematical Logic
Logical schemas are at the base of the implementation of any database application. Methods and techniques for assessing, evaluating, and improving conceptual schemas and logical schemas in different application domains is still a fertile research area. Despite such recognized importance, the prevalent attention to the definitions of DQ dimensions has been devoted to data values, which are used, more extensively than schemas, in business and administrative processes. As a consequence, in this chapter we deal especially with data dimensions, but we also discuss some of the most relevant schema dimensions.
In order to clarify the impact of information quality on the different types of information systems, we adopt the classification criteria proposed in  for distributed databases. Three different criteria are proposed: distribution, heterogeneity, and autonomy. Distribution deals with the possibility of distributing the data and the applications over a network of computers. Heterogeneity considers all types of semantic and technological diversities among systems used in modeling and physically representing data, such as database management systems, programming languages, operating systems, middleware, and markup languages.
The problem of understanding whether two tuples refer to the same real-world entity or not; this problem will be discussed extensively in Chaps. 8 and 9. The main issues to be addressed for solving the object identification problem are: • Identification: Tuples in one or several sources may not have unique identifiers, and thus they need to be put in correspondence by means of appropriate matching keys. • Decision strategy: Once tuples are linked on the basis of a matching key, a decision must be made to state whether it corresponds to the same entity or not.
A Course in Mathematical Logic by John Bell, Moshe Machover