摘要：We attack an interesting open problem (an efficient algorithm to invert the generalized Cantor N-tupling bijection) and solve it through a sequence of equivalence preserving transformations of logic programs, that take advantage of unique strengths of this programming paradigm. An extension to set and multiset tuple encodings, as well as a simple application to a "fair-search" mechanism illustrate practical uses of our algorithms. The code in the paper (a literate Prolog program, tested with SWI-Prolog and Lean Prolog) is available at http://logic.cse.unt.edu/tarau/research/2012/pcantor.pl .
关键词：generalized Cantor n-tupling bijection; bijective data type transformations; combinatorial number system; solving combinatorial problems in Prolog; op
