The Constructive Hilbert Program and the Limits of Martin-Löf Type Theory
✍ Scribed by Michael Rathjen
- Publisher
- Springer Netherlands
- Year
- 2005
- Tongue
- English
- Weight
- 297 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0039-7857
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## Abstract In this note we show that Friedman's syntactic translation for intuitionistic logical systems can be carried over to Martin‐Löf's type theory, inlcuding universes provided some restrictions are made. Using this translation we show that the theory is closed under a higher type version of
In the paper there are introduced and discussed the concepts of an indexed category with quantifications and a higher level indexed category to present ~tn algebraic characterization of some version of Martin-L6f Type Theory. This characterization.is given by specifying an additional equational stru