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-====== Lecture 19: Push-down automata ======
+====== Lecture 19 ======
+=== Push-down automata ===
+Equivalence of push-down automata and context-free grammars.
+Intersection of a regular and context-free language.
+=== First-order theorem provers ===
+Completeness of propositional resolution.
+Undecidability of first-order logic.
+Completeness of first-order resolution.