Abstract: Loop invariants are essential for proving the correctness of programs with loops. Synthesizing loop invariants is challenging, and fully automatic synthesis cannot be guaranteed for ...

This repository contains Java practice programs based on loops and bitwise operators. These programs are useful for beginners to understand core Java logic and problem-solving.

This semester-long project is designed as a continuous, research-oriented exercise in program verification and automated reasoning. Students will progressively build a tool for invariant synthesis.