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Simply Typed Lambda Calculus question - Beta Reduction

  1. May 18, 2013 #1
    1. The problem statement, all variables and given/known data
    Under the assumption that BETA is a closed term show that (λx.α)(β) and α[x→β] are logically equivalent.


    2. Relevant equations
    I'm sure I have to use β-reduction but I'm not sure how in this case:

    ⊢(λx.x)(β→α[x→β]



    3. The attempt at a solution
     
  2. jcsd
  3. May 19, 2013 #2

    verty

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    What does α[x→β] mean?
     
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