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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
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 ?? ≡ ??.
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