| 21. | Homotopy type theory works on resolving this problem.
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| 22. | A prototypical example is intuitionistic type theory, which retains ramification but discards impredicativity.
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| 23. | Attempts to formalize the notion of metavariable result in some kind of type theory.
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| 24. | The field is an area of active research, as demonstrated by homotopy type theory.
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| 25. | Here " simple " indicates that the underlying type theory is simple, not dependent.
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| 26. | Martin-L�f's first draft article on type theory dates back to 1971.
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| 27. | Epigram exploits the propositions as types principle, and is based on intuitionistic type theory.
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| 28. | This is called polymorphism in type theory.
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| 29. | In type theory, enumerated types are often regarded as tagged unions of unit types.
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| 30. | In the ramified type theory of PM all objects are elements of various disjoint ramified types.
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