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Proofs in logic
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Modus Ponens (MP)
⍺ → β
⍺ / β
Modus Tollens
⍺ → β
~β /~⍺
Disjunctive Syllogism (DS)
⍺ v β
~⍺ /β
Hypothetical Syllogism (HS)
⍺ → β
β → Υ / ⍺ → Y
Conjunction (Conj)
⍺
β. /⍺ • β
Addition (add)
⍺ / ⍺ v β
Simplification (Simp)
⍺ • β / ⍺
Constructive Dilemma (CD)
⍺ → β
Y → 𝛿
⍺ v Y / β v 𝛿