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Re: logical simplification problem

• To: mathgroup at smc.vnet.net
• Subject: [mg101490] Re: [mg101442] logical simplification problem
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Wed, 8 Jul 2009 07:13:49 -0400 (EDT)
• References: <200907071147.HAA27538@smc.vnet.net>

On 7 Jul 2009, at 20:47, olfa wrote:

> Hi mathematica community,
> if it does not exist as predefined function in mathematica, how to
> define a rule that illustrate this logical property: if p implies q
> then p || q is simplified into q and p&&q is simplified into p?
> Thank you for your help.
>

Part 1.

Simplify[Equivalent[(p || q) && Implies[p, q], q]]
  True

Part 2.

Simplify[Implies[p && Implies[p, q], p && q]]
  True

Andrzej Kozlowski

• References:
  • logical simplification problem
    • From: olfa <olfa.mraihi@yahoo.fr>