# Presburger arithmetic

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Presburger arithmetic
A set of axioms of first-order logic for the natural numbers specifying the operations of zero, successor, and addition, including a first-order schema of induction, without multiplication.

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• Presburger arithmetic — is the first order theory of the natural numbers with addition, named in honor of Mojżesz Presburger, who published it in 1929. It is not as powerful as Peano arithmetic because it omits multiplication.OverviewThe language of Presburger… …   Wikipedia

• Mojżesz Presburger — (1904–1943) was a Polish Jewish mathematician, logician, and philosopher. He was a student of Alfred Tarski and is known for, among other things, having invented Presburger arithmetic as a student in 1929. He was born in 1904 and died in a… …   Wikipedia

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• List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

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• Consistency — For other uses, see Consistency (disambiguation). In logic, a consistent theory is one that does not contain a contradiction.[1] The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a …   Wikipedia

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