Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 22 Sep 2017 My Price 3.00

equivalence, of combinators

Conversion, or equivalence, of combinators is expressed by the judgment A ≡ B defined by the rule set E extending ? as follows:1

a comb/ a ≡ a

/k ≡ k

a2 ≡ a1/ a1 ≡ a2

a1 ≡ a2  a2 ≡ a3/ a1 ≡ a3

a1 ≡ al1 a2 ≡ al2 /a1 a2 ≡ al1 al2

/k a1 a2 ≡ a1

/sa1 a2 a3 ≡ (a1 a3) (a2 a3)

The no-doubt mysterious motivation for the last two equations will become clearer in a moment. For now, show that

x l x comb ??∪E s k k ?? ≡ ??.

Answers

(5)
Status NEW Posted 22 Sep 2017 09:09 PM My Price 3.00

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