\contentsline {section}{\numberline {1}Introduction}{2} \contentsline {section}{\numberline {2}Notation and Basic Concepts}{3} \contentsline {subsection}{\numberline {2.1}Theories}{3} \contentsline {subsection}{\numberline {2.2}Functional Dependencies}{4} \contentsline {subsection}{\numberline {2.3}Condensation}{6} \contentsline {subsection}{\numberline {2.4}Horn Theories}{7} \contentsline {subsection}{\numberline {2.5}Examples}{8} \contentsline {section}{\numberline {3}Recognizing Functional Dependencies in Horn Theories}{9} \contentsline {section}{\numberline {4}Structure of Functional Dependencies in Horn Theories}{12} \contentsline {section}{\numberline {5}Inferring Functional Dependencies in Horn Theories}{17} \contentsline {subsection}{\numberline {5.1}Horn Theories with Large FD-Cover}{17} \contentsline {subsection}{\numberline {5.2}Recognizing Irredundant FD-Cover Dependencies}{18} \contentsline {subsection}{\numberline {5.3}Aggregate Description of Minimal Functional Dependencies}{20} \contentsline {subsection}{\numberline {5.4}Inferring All Minimal Functional Dependencies}{22} \contentsline {section}{\numberline {6}Condensation of Horn Theories}{28} \contentsline {section}{\numberline {7}Concluding Remarks}{33} \contentsline {section}{References}{35}