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Tlld gerrnd num eor 8, Study notes of Mathematics

Yeshiva Gedolah of Greater Detroit Mathematics

tllersd gerrd nmdro8 sdsdadsadas

Typology: Study notes

2023/2024

Uploaded on 03/19/2025

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Universidad Escuela Colombiana de Ingenier´ıa Julio Garavito

L´ogica Calculatoria

Taller 8

Sistema DS

1. Dada la siguiente derivaci´on:

(ψ∧ϕ)

≡

(ψ≡(ϕ≡(ψ∨ϕ)))

≡

((ψ≡ϕ)≡(ψ∨ϕ))

≡

((ϕ≡ψ)≡(ψ∨ϕ))

≡

(ϕ≡(ψ≡(ψ∨ϕ)))

≡

(ϕ≡(ψ≡(ϕ∨ψ)))

≡

(ϕ∧ψ)



¿Cual es la conclusi´on?



Escriba las justificaciones



Exprese la derivaci´on como una demostraci´on

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Universidad Escuela Colombiana de Ingenier´ıa Julio Garavito L´ogica Calculatoria Taller 8 Sistema DS

Dada la siguiente derivaci´on:

(ψ ∧ ϕ) ≡ (ψ ≡ (ϕ ≡ (ψ ∨ ϕ))) ≡ ((ψ ≡ ϕ) ≡ (ψ ∨ ϕ)) ≡ ((ϕ ≡ ψ) ≡ (ψ ∨ ϕ)) ≡ (ϕ ≡ (ψ ≡ (ψ ∨ ϕ))) ≡ (ϕ ≡ (ψ ≡ (ϕ ∨ ψ))) ≡ (ϕ ∧ ψ)

¿Cual es la conclusi´on? Escriba las justificaciones Exprese la derivaci´on como una demostraci´on