Strongly Solving $7 \times 6$ Connect-Four on Consumer Grade Hardware
–arXiv.org Artificial Intelligence
While the game Connect-Four has been solved mathematically and the best move can be effectively computed with search based methods, a strong solution in the form of a look-up table was believed to be infeasible. In this paper, we revisit a symbolic search method based on binary decision diagrams to produce strong solutions. With our efficient implementation we were able to produce a 89.6 GB large look-up table in 47 hours on a single CPU core with 128 GB main memory for the standard $7 \times 6$ board size. In addition to this win-draw-loss evaluation, we include an alpha-beta search in our open source artifact to find the move which achieves the fastest win or slowest loss.
arXiv.org Artificial Intelligence
Jul-9-2025
- Country:
- Europe
- Austria > Vienna (0.14)
- Denmark > Capital Region
- Copenhagen (0.04)
- Germany > Rhineland-Palatinate
- Kaiserslautern (0.04)
- Europe
- Genre:
- Research Report (0.64)
- Industry:
- Leisure & Entertainment > Games (0.90)
- Technology: