+- MKLab (https://mklab.gr)
+-- Forum: [INDEX] (https://mklab.gr/forumdisplay.php?fid=1)
+--- Forum: MATHEMATICS (https://mklab.gr/forumdisplay.php?fid=3)
+---- Forum: COURSES & LECTURES (https://mklab.gr/forumdisplay.php?fid=37)
+----- Forum: LECTURES (https://mklab.gr/forumdisplay.php?fid=107)
+----- Thread: Which proofs need computer assistance? (/showthread.php?tid=1270)
Which proofs need computer assistance? - mklabgr - 07-22-2026
Which proofs need computer assistance?
Summary
At the LMS General Meeting 2026 celebrating the 50th anniversary of the Four-Colour Theorem, Kevin Buzzard explored how computer assistance in mathematics has evolved from simple brute-force computation to necessary formal verification. He argued that modern proofs—ranging from massive combinatorial case checks to hyper-complex contemporary fields like condensed mathematics—are reaching a scale and density where human refereeing alone is no longer sufficient. By utilizing interactive theorem provers like Lean, mathematicians can verify logical derivations step-by-step from base axioms, bridging the gap between human intuition and machine-certified mathematical truth while setting the stage for future AI-driven auto-formalization.
LECTURE