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Erschienen in:
2007 | OriginalPaper | Buchkapitel
First-Order Theories
Erschienen in: The Calculus of Computation
Verlag: Springer Berlin Heidelberg
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When reasoning in particular application domains such as software or hardware, one often has particular structures in mind. For example, programs manipulate numbers, lists, and arrays.
First-order theories
formalize these structures to enable reasoning about them. This chapter introduces first-order theories in general and then focuses on theories useful in verification and related tasks. These theories include a theory of equality, of integers, of rationals and reals, of recursive data structures, and of arrays.