𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extending Martin-Löf Type Theory by one Mahlo-universe

✍ Scribed by Anton Setzer


Publisher
Springer
Year
2000
Tongue
English
Weight
224 KB
Volume
39
Category
Article
ISSN
0933-5846

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Representing inductively defined sets by
✍ Peter Dybjer 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 347 KB

We prove that every strictly positive endofimctor on the category of sets generated by Martin-Liif's extensional type theory has an initial algebra. This representation of inductively defined sets uses essentially the wellorderings introduced by Martin-Liif in "Constructive Mathematics and Computer

The Friedman-Translation for Martin-Löf'
✍ Erik Palmgren 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 636 KB

## 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

Categorical and algebraic aspects of Mar
✍ Adam Obtułowicz 📂 Article 📅 1989 🏛 Springer Netherlands 🌐 English ⚖ 939 KB

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