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Logic #1226

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Logic #1226

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@fredrik-bakke fredrik-bakke commented Nov 18, 2024 •
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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...

Initial work for #1069

@fredrik-bakke
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This PR is currently blocked on #1168.

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Turns out it's not directly blocked, there's just an overlap.

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