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89f5747
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lamafab Oct 25, 2022
6ef3967
start section on propositional logic and syntax
lamafab Oct 25, 2022
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lamafab Oct 25, 2022
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complete laws of propositional logic
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complete laws of propositional logic
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lamafab committed Nov 19, 2022
commit 9f81993296594a315bd66ff9d8810477ae08d19e
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Expand Up @@ -7,8 +7,8 @@ and understood. Not everything that is tested at the mid-terms or final exams is
covered and the Author does not guarantee that the cheatsheets are free of
errors.

* [Propositional Logic](./cheatsheet_propositional_logic.pdf)
* [First-order Logic](./cheatsheet_first-order_logic.pdf)
* [Propositional & First-order Logic](./cheatsheet_propositional_logic.pdf)
* [Laws of Propositional Logic](./cheatsheet_laws_of_propositional_logic.pdf)
* [Proofs](./cheatsheet_proofs.pdf)

# Building
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Expand Up @@ -5,6 +5,8 @@ Fabio Lama <[email protected]>
:sectnums: 4
:stem:

== Logic 1

|===
||**Disjunction**|**Conjunction**
|idempotent laws|stem:[p vv p -= p]|stem:[p ^^ p -= p]
Expand All @@ -13,4 +15,14 @@ Fabio Lama <[email protected]>
|distributive laws|stem:[p vv (q ^^ r) -= (p vv q) ^^ (p vv r)]|stem:[p ^^ (q vv r) -= (p ^^ q) vv (p ^^ r)]
|identity laws|stem:[p vv F -= p]|stem:[p ^^ T -= p]
|domination laws|stem:[p vv T -= T]|stem:[p ^^ F -= F]
|===

== Logic 2

|===
||**Disjunction**|**Conjunction**
|De Morgan's laws|stem:[not (p vv q) -= not p ^^ not q]|stem:[not (p ^^ q) -= not p vv not q]
|absorption laws|stem:[p vv (p ^^ q) -= p]|stem:[p ^^ (p vv q) -= p]
|negation laws|stem:[p vv not p -= T]|stem:[p ^^ not p -= F]
|double negation law|stem:[not not p -= p]|
|===
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@@ -1,4 +1,4 @@
= Cheatsheet - Propositional Logic
= Cheatsheet - Propositional & First-order Logic
Fabio Lama <[email protected]>
:description: Module: CM1025 Fundamentals to Computer Science, started 25. October 2022
:doctype: article
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