\relax \bibstyle{aaai} \citation{Poole-Preferring-Most-Specific-1985} \citation{Simari-Loui-Defeasible-Reasoning-1992} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Simari-Loui-Defeasible-Reasoning-1992} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Chesnevar-etal-Relating-Deafeasible-2003} \newlabel{section Introduction}{{1}{1}} \newlabel{section where the requirement on being model-theoretic is given}{{1}{1}} \newlabel{section Basic Notions and Notation}{{2}{1}} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \newlabel{definition argument}{{2.1}{2}} \newlabel{example poole 1 precisely}{{2.2}{2}} \newlabel{corollary quasi-orderings}{{2.3}{2}} \newlabel{section Toward an Intuitive Notion of Specificity}{{3}{2}} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Garcia-Simari-Defeasible-2004} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \newlabel{subsubsection Preference of the ``More Concise''}{{3.1}{3}} \newlabel{example poole 2}{{3.1}{3}} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \newlabel{example poole 3}{{3.2}{4}} \newlabel{example stolzenburg 1}{{3.3}{4}} \newlabel{section Requirements Specification of Specificity in Logic Programming}{{4}{4}} \citation{Poole-Preferring-Most-Specific-1985} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \citation{Simari-Loui-Defeasible-Reasoning-1992} \citation{Poole-Preferring-Most-Specific-1985} \newlabel{section Formalizations of Specificity}{{5}{5}} \newlabel{section where the phases are}{{5}{5}} \newlabel{section definition activation set}{{5}{5}} \newlabel{definition activation set}{{5.1}{5}} \newlabel{subsection Specificity Relation P1}{{5.1}{5}} \newlabel{DefSpec1}{{5.2}{5}} \newlabel{DefSpec2}{{5.3}{5}} \citation{Simari-Loui-Defeasible-Reasoning-1992} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Wirth_Stolzenburg_Specificity_2013} \newlabel{DefSpec}{{5.4}{6}} \newlabel{corollary ordering the P}{{5.5}{6}} \newlabel{example not well on non-defeasible arguments}{{5.6}{6}} \newlabel{corollary sub-argument P}{{5.7}{6}} \newlabel{example P not transitive}{{5.8}{6}} \newlabel{lemma P not transitive}{{5.9}{6}} \newlabel{theorem P not transitive}{{5.10}{6}} \newlabel{subsection Our Novel Specificity Ordering CP1}{{5.2}{6}} \citation{Wirth_Stolzenburg_Specificity_2013} \citation{Wirth_Stolzenburg_Specificity_2013} \newlabel{definition CP1 specificity}{{5.11}{7}} \newlabel{corollary sub-argument CP1}{{5.12}{7}} \newlabel{theorem CP1 quasi-ordering}{{5.13}{7}} \newlabel{example P not transitive discussion}{{5.14}{7}} \newlabel{corollary wellfounded}{{5.15}{7}} \newlabel{theorem super quasi-ordering}{{5.16}{7}} \newlabel{example poole 1 precisely discussion}{{5.17}{7}} \newlabel{section Putting Specificity to Test}{{6}{7}} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Stolzenburg-etal-Computing-Specificity-2003} \newlabel{subsection Monotonicity of Preference}{{6.2}{8}} \newlabel{example poole 6}{{6.3}{8}} \newlabel{example variation 1 poole 6}{{6.4}{8}} \newlabel{section more precise?}{{6.3}{8}} \newlabel{variation 2 example poole 6}{{6.5}{8}} \newlabel{example stolzenburg 2}{{6.6}{8}} \citation{Poole-Preferring-Most-Specific-1985} \citation{Poole-Preferring-Most-Specific-1985} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Stolzenburg-etal-Computing-Specificity-2003} \citation{Poole-Preferring-Most-Specific-1985} \citation{Simari-Loui-Defeasible-Reasoning-1992} \citation{Gelfond_Przymusinska_1990} \citation{DS96} \citation{BG97b} \citation{Dung_Acceptability_of_Arguments_1995} \citation{Prakken-Vreeswijk-Logics-for-Defeasible-Argumentation-2002} \citation{Kern-Isberner-Thimm-Ranking-Semantics-2012} \citation{Besnard-Hunter-Logic-Based-Theory-of-Deductive-Arguments-2001} \newlabel{example stolzenburg 3}{{6.7}{9}} \newlabel{sec:related}{{7}{9}} \citation{Poole-Preferring-Most-Specific-1985} \citation{writing-mathematics} \bibdata{specificity} \bibcite{BG97b}{\citeauthoryear {Benferhat and Garcia}{1997}} \bibcite{Besnard-Hunter-Logic-Based-Theory-of-Deductive-Arguments-2001}{\citeauthoryear {Besnard and Hunter}{2001}} \bibcite{Chesnevar-etal-Relating-Deafeasible-2003}{\citeauthoryear {Ches{\~n}evar \bgroup et al\unhbox \voidb@x \hbox {.}\egroup }{2003}} \bibcite{DS96}{\citeauthoryear {Dung and Son}{1996}} \bibcite{Dung_Acceptability_of_Arguments_1995}{\citeauthoryear {Dung}{1995}} \bibcite{Garcia-Simari-Defeasible-2004}{\citeauthoryear {Garc{\'\i }a and Simari}{2004}} \bibcite{Gelfond_Przymusinska_1990}{\citeauthoryear {Gelfond and Przymusinska}{1990}} \bibcite{writing-mathematics}{\citeauthoryear {Gillman}{1987}} \bibcite{Kern-Isberner-Thimm-Ranking-Semantics-2012}{\citeauthoryear {Kern-Isberner and Thimm}{2012}} \bibcite{Poole-Preferring-Most-Specific-1985}{\citeauthoryear {Poole}{1985}} \bibcite{Prakken-Vreeswijk-Logics-for-Defeasible-Argumentation-2002}{\citeauthoryear {Prakken and Vreeswijk}{2002}} \bibcite{Simari-Loui-Defeasible-Reasoning-1992}{\citeauthoryear {Simari and Loui}{1992}} \bibcite{Stolzenburg-etal-Computing-Specificity-2003}{\citeauthoryear {Stolzenburg \bgroup et al\unhbox \voidb@x \hbox {.}\egroup }{2003}} \bibcite{Wirth_Stolzenburg_Specificity_2013}{\citeauthoryear {Wirth and Stolzenburg}{2013}} \newlabel{section Conclusion}{{8}{10}}