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Is there any work in type theory where no base types are assumed, e.g., that there are only function types in place ($t_1 \to t_2$ is a type whenever $t1$$t_1$ and $t_2$ are types)?

If not, are there specific reasons for that?

Is there any work in type theory where no base types are assumed, e.g., that there are only function types in place ($t_1 \to t_2$ is a type whenever $t1$ and $t_2$ are types)?

If not, are there specific reasons for that?

Is there any work in type theory where no base types are assumed, e.g., that there are only function types in place ($t_1 \to t_2$ is a type whenever $t_1$ and $t_2$ are types)?

If not, are there specific reasons for that?

Source Link
qk11
  • 515
  • 5
  • 12

Type Theory with no Base Types

Is there any work in type theory where no base types are assumed, e.g., that there are only function types in place ($t_1 \to t_2$ is a type whenever $t1$ and $t_2$ are types)?

If not, are there specific reasons for that?