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Results tagged with implementation
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user 78
Use this tag if you are implementing a proof engine, proof assistant or something similar in code. Do not use this tag if you are just at the design stage or asking about design decisions of existing code.
18
votes
Accepted
What difficulties are there in basing a proof assistant on the $\lambda\mu$-calculus and has...
TL; DR: There are. But there are also severe difficulties that only have unsatisfactory solutions.
Let's see what bad things will happen, so we can attempt to fix it. The first thing when trying to tu …
- 4,334
7
votes
0
answers
167
views
Tutorial implementations of extensional type theories
There are cool projects out there that covers the basic principles of implementing dependent type theories as very spartan proof assistants. These projects helped a lot when I learned about (implement …
- 4,334
11
votes
1
answer
310
views
Normalization by evaluation for extensional type theories
Is there material on how to implement normalization for (any flavor of) ETT?
This describes techniques related to doing untyped normalization. But there are (operational and semantic) problems when tr …
- 4,334
10
votes
What are "fibration/cofibration" in type theory and what are their intuitions?
Let me provide a slightly watered up supplement of Gratzer's answer.
In the beginning, mathematicians need to study spaces by considering how other spaces cover(*) them. For example, if you have a lin …
- 4,334