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Results tagged with constructive-mathematics
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user 4085
Constructive mathematics in the style of Bishop, including its semantics using realizabilty or topological methods.
5
votes
What happens when we print the digits of a real number?
When we say that computations are continuous functions we don't mean with respect to any old topology. We are specifically referring to the Scott topology. The topology of Cauchy sequences does not …
- 1,439
7
votes
Can dependent sums be encoded as dependent products?
My understanding is that dependent elimination cannot be derived from impredicative encodings, but I cannot find a reference other than a passing mention in The Implict Calculus of Constructions.
- 1,439
13
votes
2
answers
4k
views
Primitive element theorem without building field extensions
Is there are nice way to prove the primitive element theorem without using field extensions?
The primitive element theorem says that if $x$ and $y$ are algebraic over $F$ and $y$ is separable over $F …
- 1,439