| 1. | He developed constructive logic, constructive type theory and constructive analysis.
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| 2. | In this way we have a second order type theory ."
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| 3. | His research involves lambda calculus, type theory and combinatory algebra.
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| 4. | Their paper also foreshadowed several later developments in homotopy type theory.
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| 5. | It increases the proof-theoretic strength of type theory substantially.
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| 6. | A function in type theory is denoted with an arrow \ to.
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| 7. | In intuitionistic type theory, new terms of equality start with reflexivity.
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| 8. | Homotopy type theory continues in this line using type theory.
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| 9. | Homotopy type theory continues in this line using type theory.
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| 10. | Type theory is chiefly interested in the convertibility or reducibility of programs.
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