Computer Algebra

Computer algebra is a field focused on developing algorithms and software for manipulating and solving mathematical expressions symbolically, rather than numerically. Current research emphasizes integrating computer algebra with machine learning, particularly using neural networks and reinforcement learning to automate tasks like symbolic integration, equation solving, and heuristic optimization within computer algebra systems. This integration aims to improve the efficiency and capabilities of existing computer algebra systems, with applications ranging from verifying cryptographic protocols to solving complex problems in robotics and abstract reasoning. The resulting advancements have significant implications for various scientific disciplines requiring precise symbolic computation.