Based on prior knowledge, we can analyze the relationship between the feature "K_SH_POST" and the presence of chronic heart failure in myocardial infarction complications data.

To determine if the patient shows chronic heart failure, we need to examine the possible values of "K_SH_POST" for both cases: when the patient has chronic heart failure (yes) and when they don't (no).

Here is a dictionary that presents the possible values of "K_SH_POST" for each target class:

```json
{
	"no": ["no"],
	"yes": ["yes"]
}
```
Please note that we only include the values of "K_SH_POST" that are clearly associated with one of the target classes. If there are other values that are hard to predict, they can be omitted.

In this case, the possible values for "K_SH_POST" for the target class "no" are ["no"], while for the target class "yes" it is ["yes"].