\BOOKMARK [1][-]{section.1}{Introduction to the course}{}% 1 \BOOKMARK [1][-]{section.2}{Proof systems}{}% 2 \BOOKMARK [2][-]{subsection.2.1}{Propositional proof system}{section.2}% 3 \BOOKMARK [2][-]{subsection.2.2}{Algebraic and semi-algebraic proof systems}{section.2}% 4 \BOOKMARK [2][-]{subsection.2.3}{Other proof systems}{section.2}% 5 \BOOKMARK [1][-]{section.3}{Cook-Reckhow propositional proof systems}{}% 6 \BOOKMARK [1][-]{section.4}{The landscape of proof complexity}{}% 7 \BOOKMARK [1][-]{section.5}{Resolution system}{}% 8 \BOOKMARK [2][-]{subsection.5.1}{Soundness and completeness of resolution}{section.5}% 9 \BOOKMARK [1][-]{section.6}{Pigeon-hole principle}{}% 10