SetXint
SetXint is a method for encoding finite sets of integers into a single natural number. It is used in areas such as combinatorial generation, data serialization, and indexing where a deterministic, bijective mapping between a set and an integer is desirable. The approach emphasizes a reversible transformation: from a set to an integer and back without loss of information.
One canonical construction uses a fixed bijection g: Z -> N to map each element of the set
Inverse mapping and determinism: Recovering the set from an encoded integer requires prime factorization and applying
Applications and limitations: SetXint provides a bijective, compact representation of finite sets, making it useful for
See also: Gödel numbering, prime encoding, Cantor pairing function, bitset encodings.