Propositional Logic Informally - Propositional Logic is the core logical reasoning
Predicate Logic Informally - We build on propositional logic to explain first-order predicate logic.
Proofs and Induction - We make sure that we are all familiar with basic proof techniques, which we will study as formal rule systems later.
Theorem Prover - Theorem provers can check proofs, automate the proof search or use other methods to show formula validity.
Computational Complexity - Limits of algorithms for theorem provers and decision procedures, and vocabulary for expressing problem difficulty.
Sets and Relations - Some more background, useful preparation for program semantics.