Mehul Bhatt Oliver Kutz Thomas Schneider - Informatik

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Normal Modal Logic K r i p k e S e m a n t i c s Completeness and Correspondence Theory Lecture 9
Examples of Modal Logics Classic Distinctions between Modalities ‣ Alethic modality: necessity, possibility, contingency, impossibility ‣ distinguish further: logical - physical - metaphysical, etc. ‣ Temporal modality: always, some time, never ‣ Deontic modality: obligatory, permissible ‣ Epistemic modality: it is known that ‣ Doxastic modality: it is believed that Technically, all these modalities are treated in the same way, by using unary modal operators
Page 1: From Syllogism to Common Sense Mehu
Page 5 and 6: Modal Logic: Some History ‣ Moder
Page 7 and 8: Some More Modal frege systems ‣ H
Page 9 and 10: Modal Sat / Taut / Validity ‣ Mod
Page 11 and 12: A Tableaux system for Modal Logic K
Page 13 and 14: 0 T ⇤A TA F ⌃A FA A Tableau sys
Page 15 and 16: 1.1 TB (9) from 7 1.1 TB (13) from
Page 17 and 18: Modal Sat / Taut / Validity ‣ Mod
Page 19 and 20: Canonical Models & Truth Lemma ‣
Page 21 and 22: Canonical Models & Truth Lemma ‣
Page 23 and 24: Correspondence Theory: Example ‣
Page 25 and 26: Gödel-Tarski-McKinsey translation
Page 27 and 28: Rules: Admissible vs. Derivable ‣
Page 29 and 30: CPC is 0-reducible ‣ A logic L is
Page 31 and 32: Admissiblity in CPC is decidable
Page 33 and 34: Admissible Rules in Modal Logic ‣
Page 35 and 36: Admissible Rules in Modal Logic ‣
Page 37 and 38: Admissible Rules in IPC ‣ The fol
Page 39 and 40: Decidability of Admissibility ‣ I
Page 41 and 42: Summary ‣ We have introduced the

Mehul Bhatt Oliver Kutz Thomas Schneider - Informatik

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