Abstract
An important part of the classical model theory studies properties of abstract mathematical structures (finite or not) expressible in first-order logic [257]. In the setting of finite model theory, which developed more recently, one studies first-order logic (and its various extensions) just on finite structures [141, 303]. Both theories share many similarities but also display important and profound differences. This will be illustrated in this chapter by means of several examples. We start with a generalization of the coloring problem.
If you are not what you should not be, you might well be as you should be.
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© 2012 Springer-Verlag Berlin Heidelberg
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Nešetřil, J., de Mendez, P.O. (2012). First-Order Constraint Satisfaction Problems, Limits and Homomorphism Dualities. In: Sparsity. Algorithms and Combinatorics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27875-4_9
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DOI: https://doi.org/10.1007/978-3-642-27875-4_9
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27874-7
Online ISBN: 978-3-642-27875-4
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