# 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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