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Create logic namespace #1069

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fredrik-bakke opened this issue Mar 12, 2024 · 0 comments
Open

Create logic namespace #1069

fredrik-bakke opened this issue Mar 12, 2024 · 0 comments

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@fredrik-bakke
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Create a logic namespace, and move the appropriate modules there.

@fredrik-bakke fredrik-bakke added this to the downtime milestone Mar 12, 2024
@fredrik-bakke fredrik-bakke mentioned this issue Dec 3, 2024
EgbertRijke pushed a commit that referenced this issue Jan 7, 2025
Some logic formalizations extracted from #1206.

### Summary
- Create `logic` namespace
- Double negation elimination
  - Double negation stable propositions
  - Maps with double negation elimination and closure properties
  - Double negation stable embeddings and closure properties
- De Morgan's law
  - De Morgan types and De Morgan propositions
  - De Morgan maps and closure properties
  - De Morgan embeddings and closure properties
- Markov's principle and a strong version for finite types
- Some additional closure properties for decidable maps, decidable
embeddings, decidable propositions...
- Diaconescu's theorem
  - The suspension of a proposition is a set

Initial work for #1069
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