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De Bruijn Notation
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De Bruijn Notation
07-22-2012
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Prof. Dr. Sinsi
De Bruijn Notation
* 1
&lt language&gt A variation of lambda notation for specifying functions using numbers instead of names to refer to formal parameters
A reference to a formal parameter is a number which gives the number of lambdas (written as here) between the reference and the lambda which binds the parameter
E
g
the function f
x
f x would be written
1 0
The 0 refers to the innermost lambda, the 1 to the next etc
The chief advantage of this notation is that it avoids the possibility of name capture and removes the need for alpha conversion
Prof. Dr. Sinsi
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