Logic/Modal Logic

Proofs (2) Basic Modal Propositional Logic

Soyo_Kim 2024. 11. 8. 08:48

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