This repository is a learning library for algorithms. Each package explains one topic in clear, beginner-friendly language and shows why it works using loop invariants. If you are new to algorithms, ...

Abstract: In earlier work (Jeffords and Heitmeyer, 1998) we developed a fixpoint algorithm for automatically generating state invariants, properties that hold in each reachable state of a state ...

Loop invariants are fundamental to reasoning about programs with loops. They establish properties about a given loop’s behavior. When they additionally are inductive, they become useful for the task ...

Invariants should be well-formed formulas, that is, they should be logical statements (with a truth-value--true, of course), in the predicate calculus or rigorous English. A good invariant is a ...