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The explanations of the different nullability handling modes could be more clear.

yongchul
yongchul previously approved these changes Aug 8, 2025
| MIRROR | This means that the function has the behavior that if at least one of the input arguments are nullable, the return type is also nullable. If all arguments are non-nullable, the return type will be non-nullable. The nullability of the expected return type in the function definition can be disregarded, as the nullability of the output is determined by the nullability of the inputs. An example might be the `+` function. |
| DECLARED_OUTPUT | Input arguments are accepted of any mix of nullability. The nullability of the output function is whatever the return type expression states. Example use might be the function `is_null()` where the output is always `boolean` independent of the nullability of the input. |
| DISCRETE | The input and arguments all define concrete nullability and can only be bound to the types that have those nullability. For example, if a type input is declared `i64?` and one has an `i64` literal, the `i64` literal must be specifically cast to `i64?` to allow the operation to bind. |
| DISCRETE | DISCRETE nullability follows DECLARED_OUTPUT rules, in the sense that the output nullability must match the return type expression's nullability. However, the input and arguments all define concrete nullability and can only be bound to the types that have those nullability. For example, if a type input is declared `i64?` and one has an `i64` literal, the `i64` literal must be specifically cast to `i64?` to allow the operation to bind. |
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nit: follows DECLARED_OUTPUT rules -> follows DECLARED_OUTPUT rule

| MIRROR | This means that the function has the behavior that if at least one of the input arguments are nullable, the return type is also nullable. If all arguments are non-nullable, the return type will be non-nullable. The nullability of the expected return type in the function definition can be disregarded, as the nullability of the output is determined by the nullability of the inputs. An example might be the `+` function. |
| DECLARED_OUTPUT | Input arguments are accepted of any mix of nullability. The nullability of the output function is whatever the return type expression states. Example use might be the function `is_null()` where the output is always `boolean` independent of the nullability of the input. |
| DISCRETE | The input and arguments all define concrete nullability and can only be bound to the types that have those nullability. For example, if a type input is declared `i64?` and one has an `i64` literal, the `i64` literal must be specifically cast to `i64?` to allow the operation to bind. |
| DISCRETE | DISCRETE nullability follows DECLARED_OUTPUT rules, in the sense that the output nullability must match the return type expression's nullability. However, the input and arguments all define concrete nullability and can only be bound to the types that have those nullability. For example, if a type input is declared `i64?` and one has an `i64` literal, the `i64` literal must be specifically cast to `i64?` to allow the operation to bind. |
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nit: cast to -> casted to

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Overall this looks good to me. Left some minor suggestions. @/yongchul left some good improvements as well.

| Mode | Description |
| --------------- | ------------------------------------------------------------ |
| MIRROR | This means that the function has the behavior that if at least one of the input arguments are nullable, the return type is also nullable. If all arguments are non-nullable, the return type will be non-nullable. An example might be the `+` function. |
| MIRROR | This means that the function has the behavior that if at least one of the input arguments are nullable, the return type is also nullable. If all arguments are non-nullable, the return type will be non-nullable. The nullability of the expected return type in the function definition can be disregarded, as the nullability of the output is determined by the nullability of the inputs. An example might be the `+` function. |
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Beyond the scope of this PR, but I filed #853 to capture the fact that setting the nullability of the return type in these cases is meaningless.

| Mode | Description |
| --------------- | ------------------------------------------------------------ |
| MIRROR | This means that the function has the behavior that if at least one of the input arguments are nullable, the return type is also nullable. If all arguments are non-nullable, the return type will be non-nullable. An example might be the `+` function. |
| MIRROR | This means that the function has the behavior that if at least one of the input arguments are nullable, the return type is also nullable. If all arguments are non-nullable, the return type will be non-nullable. The nullability of the expected return type in the function definition can be disregarded, as the nullability of the output is determined by the nullability of the inputs. An example might be the `+` function. |
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suggestion:
An example might be the + function.
to
An example of a function with MIRROR nullability is the add function

With your addition, I read the example as an example of disregarding the nullability in the definition.

| MIRROR | This means that the function has the behavior that if at least one of the input arguments are nullable, the return type is also nullable. If all arguments are non-nullable, the return type will be non-nullable. The nullability of the expected return type in the function definition can be disregarded, as the nullability of the output is determined by the nullability of the inputs. An example might be the `+` function. |
| DECLARED_OUTPUT | Input arguments are accepted of any mix of nullability. The nullability of the output function is whatever the return type expression states. Example use might be the function `is_null()` where the output is always `boolean` independent of the nullability of the input. |
| DISCRETE | The input and arguments all define concrete nullability and can only be bound to the types that have those nullability. For example, if a type input is declared `i64?` and one has an `i64` literal, the `i64` literal must be specifically cast to `i64?` to allow the operation to bind. |
| DISCRETE | DISCRETE nullability follows DECLARED_OUTPUT rules, in the sense that the output nullability must match the return type expression's nullability. However, the input and arguments all define concrete nullability and can only be bound to the types that have those nullability. For example, if a type input is declared `i64?` and one has an `i64` literal, the `i64` literal must be specifically cast to `i64?` to allow the operation to bind. |
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suggestion:

DISCRETE nullability extends DECLARED_OUTPUT. The output nullability must still match the return type expression's nullability. Additionally, the

Effectively:

  • Removing the in the sense for precision
  • Using Additionally instead of However as the new constraints are additive and not instead of.

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