Logic/Modal Logic

Proofs (2)

Soyo_Kim 2024. 1. 4. 22:44

2023-2 Modal Logic (Segment 1)

Q) Give a proof of the following in the systems indicated:

  1. ├S5 Mp ∧ Mq .⊃. M(p ∧ Mq)
  2. ├B MLp ⊃ LMp
  3. ├S5 Lp ⊃ LLp
  4. ├S5 p ⊃ LMp
  5. ├S5 L(p ∨ Lq) .⊃. Lp ∨ Lq
  6. ├S4 M(p ∧ Mq) .⊃. Mp ∧ Mq

 

 

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