Topological Generalizations of Possible Worlds Semantics and Their Proof Systems

Topological Generalizations of Possible Worlds Semantics and Their Proof Systems

Hausdorff Center for Mathematics via YouTube Direct link

Summary

17 of 17

17 of 17

Summary

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Topological Generalizations of Possible Worlds Semantics and Their Proof Systems

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  1. 1 Intro
  2. 2 From Kripke (relational) to neighbourhood semantics
  3. 3 Neighbourhood Semantics (cont.)
  4. 4 The link between neighbourhood semantics and
  5. 5 Modalities and conditionals through neighbourhood semantics
  6. 6 Non-normal logics (classical modal logics)
  7. 7 From neighbourhood semantics to sequent calculus rules
  8. 8 From (classical modal) axioms to (NS) rules
  9. 9 Monotonic systems In some cases, instead of adding extra neighbourhood
  10. 10 Structural properties of NS-sequent calculi
  11. 11 Improvements for non-monotonic systems
  12. 12 Bi-neighbourhood semantics
  13. 13 A bi-neighbourhood labelled calculus-LSE (2)
  14. 14 Soundness and completeness
  15. 15 Optimization-TLSE (3)
  16. 16 Completeness and decidability
  17. 17 Summary

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