Lecture 01: Introduction and Background
Verification as Science - Basic Methodology
Proving Correctness of Some Small Examples - Demos
Importance of Verification - Uses of Verification
Background
Propositional Logic Informally - Propositional Logic is the core logical reasoning
Predicate Logic Informally - We build on propositional logic from last lecture 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.
Compiler - Compilers help us understand how to deploy verification systems (see also our Compiler Construction course)
Sets and Relations - Some more background, useful preparation for program semantics.
(Continued in Lecture 02)