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Algo/CM/CM du 04 octobre.md
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An abstract type have a signature, which contains types, uses and operations, and have some axioms. An abstract type have a signature, which contains types, uses and operations, and have some axioms.
An axiom let us determine the value of the application of the observers with the internal operations (in the example below, the operation modify). We can see that as a validation. An axiom must be precise. An axiom let us determine the value of the application of the observers with the internal operations (in the example below, the operation modify). We can see that as a validation. An axiom must be precise. An axiom is the application of the observer on an internal operation : `observer(internal operation)`
``` ```
Types Types
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lowerlimit(v) =< i =< upperlimit(v) -> nth(modify(v,i,e), i) = e lowerlimit(v) =< i =< upperlimit(v) -> nth(modify(v,i,e), i) = e
``` ```
In this example, the axiom explain that it check nth position in the modified vector In this example, the axiom explain that it check nth position in the modified vector