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fixed name and math
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_data/CS262.yml

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description: Logic and Verification
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CribSheets :
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- name: laws_and_associativity
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- name: Logic_and_Verification
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link: Crib_Sheets
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description: Crib sheet for the exam
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authors:

modules/CS262/Crib_Sheets/index.md

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---
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layout: noteshome
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title: Crib Sheet
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title: Logic and Verification
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math: true
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---
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## Logic crib sheet
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#### Generalised disjunction
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- $$[X_1, X_2, ..., X_n] = X_1 \vee X_2 \vee ... \vee X_n$$
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- $$v([X_1, X_2, ..., X_n]) = T$$ if and only if $$v(X_i) = T, \quad \exists V_i$$
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- $$v([]) = v(\bot) = F$$
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-   $$[X_1, X_2, ..., X_n] = X_1 \vee X_2 \vee ... \vee X_n$$
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-   $$v([X_1, X_2, ..., X_n]) = T$$ if and only if $$v(X_i) = T, \quad \exists V_i$$
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-   $$v([]) = v(\bot) = F$$
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#### Generalised conjunction
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- $$\langle X_1, X_2, ..., X_n \rangle = X_1 \wedge X_2 \wedge ... \wedge X_n$$
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- $$v(\langle X_1, X_2, ..., X_n \rangle) = T$$ if and only if $$v(X_i) = T, \quad \forall V_i$$
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- $$v(\langle \rangle) = v(\bot) = F$$
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-   $$\langle X_1, X_2, ..., X_n \rangle = X_1 \wedge X_2 \wedge ... \wedge X_n$$
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-   $$v(\langle X_1, X_2, ..., X_n \rangle) = T$$ if and only if $$v(X_i) = T, \quad \forall V_i$$
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-   $$v(\langle \rangle) = v(\bot) = F$$
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### Normal forms
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