Lecture
This lecture covers the techniques for induction in Satisfiability Modulo Theories (SMT) solvers, focusing on the implementation in CVC4. It discusses the challenges faced by SMT solvers in handling quantified formulas and the importance of inductive reasoning. The lecture presents examples of ground and quantified conjectures, emphasizing the need for inductive strengthening. It explains the concept of subgoal generation in SMT, including the generation and filtering of necessary subgoals. The lecture concludes with a discussion on benchmarks, encodings, and the results of SMT solvers, highlighting the competitive performance of CVC4 with other inductive theorem provers.