meaning of eta abstraction

1. eta abstraction eta conversion eta conversion In lambda-calculus, the eta conversion rule states x . f x <--> f provided x does not occur as a free variable in f and f is a function. Left to right is eta reduction, right to left is eta abstraction or eta expansion. This conversion is only valid if bottom and x . bottom are equivalent in all contexts. They are certainly equivalent when applied to some argument - they both fail to terminate. If we are allowed to force the evaluation of an expression in any other way, e. g. using seq in Miranda or returning a function as the overall result of a program, then bottom and x . bottom will not be equivalent. See also observational equivalence, reduction. eta expansion See eta conversion. eta reduction See eta conversion. ETB End Transmission Block ETC ExTendible Compiler. Fortran-like, macro extendible. "ETC - An Extendible Macro-Based Compiler", B. N. Dickman, Proc SJCC 38 1971. e-text electronic text ETHER A concurrent object-oriented language?

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