By introducing the concepts of a loop and a loop formula, Lin and Zhao showed that the answer sets of a nondisjunctive logic program are exactly the models of its Clark's completion that satisfy the loop formulas of all loops.
Jul 15, 2023
We propose the notion of an elementary set, which is almost equivalent to the notion of an elementary loop for nondisjunctive programs, but is simpler, and, ...
We propose the notion of an elementary set, which is almost equivalent to the notion of an elementary loop for nondisjunctive programs, but is simpler, and, ...
We propose the notion of an elementary set, which is almost equivalent to the notion of an elementary loop for nondisjunctive programs, but is simpler, and, ...
We propose the notion of an elementary set, which is almost equivalent to the notion of an elementary loop for nondisjunctive programs, but is simpler, and, ...
Sep 10, 2024 · We propose the notion of an elementary set, which is almost equivalent to the notion of an elementary loop for nondisjunctive programs, but is ...
The recently proposed notion of an elementary set (or elementary loop) yielded a refinement of the theorem on loop formulas, which tells us that stable models ...
Based on the notion of an elementary set, we propose the notion of head-elementary-set-free (HEF) programs, a more general class of disjunctive programs than ...
In this course, small letters will represent elements and capital let- ters will stand for sets. (b) Logical symbols: i. ∧ (and) ii. ∨ (or) iii. ¬ (not).
Definition 1.1 (Subset). Let A, B be sets. Then A is a subset of B, written. A ⊆ B iff (∀x) if x ∈ A ...