# Re: [eclipse-users] Newbie: P ==> ( Q /\ R) and ( P ==> Q ) /\ ( Q ==> R )

From: Alexandre Saidi <Alexandre.Saidi_at_...37...>
Date: Tue, 06 Feb 2007 18:54:07 +0100
```Hi,
Some Prologs are suited : P3 or P4

This is not really the answer, but may help.

- When you submit the following expression to a logical system (like
PIII), you get the "normal" behavier:
P=>Q & P=>R

- and if you constrain the following equivalence
P => (Q & R)    =     (P => Q) & (Q => R)

you get : P | R = true.   ((P or R) must be true)

- An example : "it rains => cloudy &  wet".
but not  "cloudsy=> wet" ?

Cheers.

Alex

phiroc_at_...22... a écrit :

>Hello,
>
>In "Logical Reasoning: A First Course", there is an exercise in which you are
>supposed to test whether P ==> ( Q /\ R) is equivalent to ( P ==> Q ) /\ ( Q ==>
>R )
>
>I have manually computed the truth table and would like to check my results with
>a computer.
>
>Is there a way to check such an equivalence in ECLiPSe or is Prolog not suited
>for such boolean operations?
>
>Many thanks.
>
>phiroc
>
>
>_______________________________________________
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>
>
>

--
Aleksander S. Saidi
Maître de Conférences
Ecole Centrale de Lyon
Département Mathématiques-Informatique
Mél : Alexandre.Saidi_at_...37...
Tél : 04.72.18.65.30, Fax : 04.78.33.16.15

```
Received on Tue Feb 06 2007 - 18:03:40 CET

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