eldorado.tu-dortmund.de/server/api/core/bitstreams/27b55c58-887b-4131-bebf-68354344fc3c/content
ary, and
(CP2) B+(r1) ∩B−(r2) = ∅ such that r1, r2 ∈ {r, r′}, r1 = r2, and
(CP3) B+(r) ∪B+(r′) is consistent.
Proof
Suppose an ELP P over A, and rules r, r′ in PC that satisfy (CP1), (CP2), and (CP3). [...] for SN(PC,2). For PF ∪ SN(PC,2), we get
the answer sets
S1 = {testedPositivePA, allergicToPeanuts}, and S2 = {testedPositivePA, allergicToPeanuts , canEatPeanuts}.
Clearly, S2 shows that PC,2 contains wrong [...] atom-related literals
K∗ 1 ,K
∗ 2 ,K
∗ 3 . By (6), neg(K∗
1 ) ∩ neg(K∗ 2 ) = ∅ iff K∗
1 ,K ∗ 2 are dual. In all other cases,
neg(K∗ 1 ) ∩ neg(K∗
2 ) = ∅. Let therefore K∗ 1 ,K
∗ 2 be dual literals. For any K∗ …