# Presburger arithmetic in a sentence

1) Let be a model of Presburger arithmetic .

arithmetic collocations
2) However, some problems provably require more time, for example Presburger arithmetic .

3) Dependent ML limits the sort of equality it can decide to Presburger arithmetic .

## Presburger arithmetic example sentences

4) The problem of deciding the truth of a statement in Presburger arithmetic requires even more time.

5) Pseudo-recursive saturation is designed to capture the properties of a models of Presburger arithmetic which allow automorphisms to be created relatively easily.

6) Presburger arithmetic constitutes the theory of addition, for example, as we might expect it to hold in the integers Z .

7) The following is a brief overview of Presburger arithmetic and pseudo-recursive saturation, which form the basis of my Ph.D. thesis.

8) The PRS models of Presburger arithmetic are also closely connected to homogeneous models and the above result can be used to show one aspect of this connection.

9) It is straightforward to show (using our element and A1 ) that any model of Presburger arithmetic will have a copy of Z embedded in it.

10) The first half of this thesis looks at well known general properties of Presburger arithmetic , including quantifier elimination, types, compactness and homogeneity.

11) of a model of Presburger arithmetic , which by A3 will be divisible.

12) Definition: If is a countable model of Presburger arithmetic with then we say that is pseudo-recursively saturated if

13) Definition: is a model of Presburger arithmetic if is an Abelian group with binary operation +, a linear order and such that

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