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Teorias de Mudança de Crenças (Dinâmica Doxástica) - IFCS

Teorias de Mudança de Crenças (Dinâmica Doxástica) - IFCS

Teorias de Mudança de Crenças (Dinâmica Doxástica) - IFCS

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Axiomas<br />

A extensão mínima da Lógica Proposicional (clássica) t.q.<br />

( ✷ ∈ {B, K, {[∗A] : A ∈ FKT}}, 〈∗A〉 := ¬[∗A]¬ )<br />

Ferner:<br />

Closure<br />

Success (r2)<br />

Inclusion (r3)<br />

Preservation (r4)<br />

Consistency (r5)<br />

Congruence (r6)<br />

Supp.1 (r7)<br />

Supp.2 (r8)<br />

63<br />

✷(A ∧ B) ↔ (✷A ∧ ✷B)<br />

✷⊤<br />

A ↔ B<br />

✷A ↔ ✷B<br />

K(A → B) → ([∗C]BA → [∗C]BB) (redundante)<br />

[∗A]BA<br />

[∗⊤]BA → BA<br />

¬B⊥ → (BA → [∗⊤]BA<br />

[∗A]B⊥ → K¬A<br />

K[A ↔ B] → [∗A]BC ↔ [∗B]BC<br />

[∗(A ∧ B)]BC → [∗A]B(B → C)<br />

¬[∗A]B¬B → ([∗A]B(B → C) → [∗(A ∧ B)BC])<br />

Lógica <strong>Dinâmica</strong> <strong>Doxástica</strong> (DDL)

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