Ruliology is the systematic study of the behavior of possible computational rules and systems (Wolfram 2026a). It is a field of study, while the ruliad is the entangled limit of all possible computations. Ruliological methodology includes explicitly exploring ranges of rules and initial conditions, running the corresponding computations, and analyzing or visualizing the structures they produce.
Because even simple rules can exhibit computational irreducibility, finite observations can support an apparent regularity that is later violated by an unexpected case. Wolfram (2026b) calls inference from such finite observations "ruliological induction" and uses its failure as a model for the difficulty of establishing that a program contains no bugs. Particular properties may nevertheless be proved when they lie in pockets of computational reducibility.
