department of computer science australian national university comp3610 principles of programming languages an introduction to the lambda calculus clem baker finch august 13 2013 contents 1 motivation 1 2 the ...
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...Department of computer science australian national university comp principles programming languages an introduction to the lambda calculus clem baker finch august contents motivation untyped scope conversion reduction substitution as a model computation multiple arguments booleans church numerals combinators recursion typed extending typing relation curry howard correspondence conditional expressions type variables and polymorphism i theuntypedlambdacalculus notation allows us do so first instead writing formal parameter on left dening equation dierent choice put it right thelambdacalculusisasystem ofpurefunctions thatis everything is function f x wasinventedinthesbylogicianalonzochurchasastudyofthefoundationsofmathematics one most important cornerstones wheretheformalparameterisidentiedbyprexingitwith andseparatingitfromthefunction particular interest for body with period now still same only we have used dene standard models has changed what really interesting that hand side no longer...