Deterministic and non-deterministic stable models
Domenico Saccà · Journal of Logic and Computation · 1997
Stable models have been first introduced in the domain of total interpretations (T- stable models), where the existence of multiple T-stable models for the same program provides a powerful mechanism to express non-determinism. Stable models have been later extended to the domain of partial interpretations (P-stable models). In this paper, we show that the presence of multiple P-stable models need not be a direct manifestation of non-determinism, for it can be instead an expression of assorted degrees of undefinedness. To separate the two factors, non-determinism and undefinedness, this paper introduces the notion of deterministic stable models and strictly non-deterministic ones. Deterministic stable models form an interesting family, having a lattice structure where the well-founded model serves as the bottom; the top of the lattice, the maximum deterministic stable model, resolves differences between any two P-stable models in the family. On the other hand, every two models in a fam...