Autor: |
Booij, Auke B., Escardó, Martín H., Lumsdaine, Peter LeFanu, Shulman, Michael |
Jazyk: |
angličtina |
Rok vydání: |
2018 |
Předmět: |
|
DOI: |
10.4230/lipics.types.2016.7 |
Popis: |
It is known that one can construct non-parametric functions by assuming classical axioms. Our work is a converse to that: we prove classical axioms in dependent type theory assuming specific instances of non-parametricity. We also address the interaction between classical axioms and the existence of automorphisms of a type universe. We work over intensional Martin-Löf dependent type theory, and for some results assume further principles including function extensionality, propositional extensionality, propositional truncation, and the univalence axiom. |
Databáze: |
OpenAIRE |
Externí odkaz: |
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