[GHC] #13038: implementation of Modus ponens and Modus tollens

[GHC]

#13038: implementation of Modus ponens and Modus tollens
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        Reporter:  vanto             |                Owner:
            Type:  feature request   |               Status:  infoneeded
        Priority:  normal            |            Milestone:
       Component:  libraries/base    |              Version:  8.0.1
      Resolution:                    |             Keywords:
Operating System:  Unknown/Multiple  |         Architecture:
                                     |  Unknown/Multiple
 Type of failure:  None/Unknown      |            Test Case:
      Blocked By:                    |             Blocking:
 Related Tickets:                    |  Differential Rev(s):
       Wiki Page:                    |
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Comment (by vanto):

 Here is the code[[BR]]
 a is v(p) and b is v(q) and the implies function is separate and can be
 used independently of the other functions.[[BR]]

 {{{
 implies::Bool->Bool->Bool
 implies a b = (||) (not a) b

 mod_ponens :: Bool -> Bool -> Bool
 mod_ponens a b = if a==True && implies a b == True then True else False

 mod_tollens :: Bool -> Bool -> Bool
 mod_tollens a b = if b==False && implies a b == True then True else False
 }}}

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Ticket URL: <http://ghc.haskell.org/trac/ghc/ticket/13038#comment:2>
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