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Mathematical logic

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Part of the book series: The University Series in Mathematics ((USMA))

Abstract

An alphabet is a non-empty set. Its members are called symbols of the alphabet. A word of an alphabet б is an arbitrary finite (maybe empty) sequence of symbols from б. The empty word is denoted by A. The product or concatenation of words A and B is the word AB. A word B is called a subword of a word A if A = CBD for some words C and D. A word B can occur in A as a subword several times. The result of the replacement of an occurrence of a subword B in the word CBD by a word E is defined as the word CED.

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© 2003 Springer Science+Business Media New York

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Lavrov, I., Maksimova, L., Corsi, G. (2003). Mathematical logic. In: Corsi, G. (eds) Problems in Set Theory, Mathematical Logic and the Theory of Algorithms. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0185-5_2

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  • DOI: https://doi.org/10.1007/978-1-4615-0185-5_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4957-0

  • Online ISBN: 978-1-4615-0185-5

  • eBook Packages: Springer Book Archive

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