( ( [(p/\q)/\r] \/ [(p/\q)/\~r]) \/~q ) -> s how can we simplify the compound statement? please help me I must do it until monday I can do up to three steps but ı dont know what it can continue (Headbang)(Headbang)(Headbang)

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- November 1st 2008, 01:20 PMlozgurhow can we simplify ? pfff:(
( ( [(p/\q)/\r] \/ [(p/\q)/\~r]) \/~q ) -> s how can we simplify the compound statement? please help me I must do it until monday I can do up to three steps but ı dont know what it can continue (Headbang)(Headbang)(Headbang)

- November 1st 2008, 05:56 PMvagabond
You might need to use the distributive law for disjunction and conjunction .

For example, (A/\B)\/(A/\~B) = A/\(B\/~B) = A

Additionally, A->B equals ~A\/B (ex.((A->B) <-> (~A\/B))).

After simplifying your formula, you might need to verify the result using a truth table. - November 1st 2008, 06:34 PMSoroban
Hello, lozgur!

Vagabond is absolutely correct.

I'll run though the steps and hope you know the reasons.

Quote:

Simplify: .

Inside the brackets: .

"Factor": .

. . . . .

. . . . .

The problem becomes: .

Distribute: . . . .

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

How far should we go? . . . There's no limit . . .

. .

. . . . . . another answer

. .

. . . . . and another

- November 2nd 2008, 02:55 AMlozgur
thank u very much friends for helping and sharing the solution (ı dont know advenced level english but ı know upper-intermeiated so maybe ı did some mistake writing ıam hoping u can understand. )

- November 2nd 2008, 03:24 AMlozgur
Question:

For each of these sets of premises, what relevant conclusion or conclu-

sions can be drawn? Explain the rules of inference used to obtain each

conclusion from premises.(a) "If I eat spicy foods, then I have strange dreams." "I have strange

dreams if there is thunder while I sleep." "I did not have strange

dreams."

(b) "I am dreaming or hallucinating." "I am not dreaming." "If I am

hallucinating, I see elephants running down the roads."

ı instaled this statement:

(a)

p:I eat spicy foods

q:I have strange dreams

r:there is thunder while I sleep

(p->q)/\(r->q)/\~q

do ı solve [(p->q)/\(r->q)/\~q] this statement for this question? ı dont understand what this question say

- November 2nd 2008, 04:46 AMlozgur
ı could do it (Clapping)(Clapping)