When are two algorithms the same?
People usually regard algorithms as more abstract than the programs that implement them. The natural way to formalize this idea is that algorithms are equivalence classes of programs with respect to a suitable equivalence relation. We argue that no such equivalence relation exists.
Permanent link to this document: http://projecteuclid.org/euclid.bsl/1243948484
Digital Object Identifier: doi:10.2178/bsl/1243948484
Zentralblatt MATH identifier: 05566109
Mathematical Reviews number (MathSciNet): MR2535427