By J. Lawrynowicz
With contributions through various specialists
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Extra resources for Analytic functions, Kozubnik 1979. Proceedings conference Kozubnik, Poland, 1979
N. Foo, T. Meyer, Y. Zhang, and D. Zhang. Negotiating logic programs. Proceedings of the 6th Workshop on Nonmonotonic Reasoning, Action and Change, 2005. 7. P. A. Gardner and J. C. Shepherdson. Unfold/fold transformations of logic programs. in: J-L. Lassez and G. ), Computational Logic, Essays in Honor of Alan Robinson, pp. 565-583, MIT Press, 1991. 8. M. Gelfond and V. Lifschitz. Classical negation in logic programs and disjunctive databases. New Generation Computing, 9(3/4):365–385, 1991. 9. K.
Sakama and K. Inoue. Coordination between logical agents. Proceedings of the 5th International Workshop on Computational Logic in Multi-Agent Systems, Lecture Notes in Artificial Intelligence 3487, pp. 161–177, Springer, 2005. 13. C. Sakama and K. Inoue. Combining answer sets of nonmonotonic logic programs. Proceedings of the 6th International Workshop on Computational Logic in Multi-Agent Systems, Lecture Notes in Artificial Intelligence 3900, pp. 320–339, Springer, 2006. 14. M. Wooldridge and S.
Thus, U ∈ AS(P1 Σ P2 ). Contradiction. Hence, there is V ∈ Σ such that U ⊆ V . By the above proof, V ∈ Σ is an answer set of P1 Σ P2 . Hence, U ⊆ V implies V ⊆ U . Therefore, U = V and U ∈ Σ. Given two programs P1 and P2 , let Q be a minimal consensus and R a maximal consensus. 2, both AS(Q) and AS(R) are anti-chains over 2Lit , and AS(Q) ⊆ cons(P1 , P2 ) and AS(R) ⊆ cons(P1 , P2 ) hold. 1 for Σ = AS(Q) and Σ = AS(R). For notational simplicity, we write AS(Q) as Q , and AS(R) as R . 5. Let P1 and P2 be two consistent programs.
Analytic functions, Kozubnik 1979. Proceedings conference Kozubnik, Poland, 1979 by J. Lawrynowicz