Question

In October 2024, Kevin Buzzard will begin a five-year project to formalize an instance of this task as part of the Xena Project. Calc, term, conv, and tactic modes are used to verify this task with the software Lean, a competitor (20[1])of Coq (20[2])(“coke”). “W·L·O·G” is used to justify (20[1])arbitrary (20[1])choices (20[1])in this task. (20[3])Appel (20[1])and Haken (20[2])checked 1,834 (20[1])(*) cases in the earliest significant (10[1])instance of using computers (10[1])for this task. (10[1])A method or (10[1])example is provided by constructive instances (10[2])of this task that may be performed via exhaustion, induction, (10[3])or contradiction. (10[6])This task is performed (10[1])in two columns with statements like “S·A·S” and “SSS” (10[1])in typical (10[1])geometry curricula. For 10 points, name this task of demonstrating a mathematical (10[1])truth. ■END■ (10[4])

ANSWER: proof-writing [accept equivalents, like proving a mathematical statement; accept word forms of formal proof or proof verification or proof verifier or proof assistant or theorem prover or computer-assisted proof or proof by exhaustion or proof by induction or proof by contradiction] (Kevin Buzzard received a million-pound grant to formalize Fermat’s last theorem in Lean.)
<David Bass, Science - Math&gt; ~27340~ &lt;Editor: David Bass>
= Average correct buzz position

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Ali HamzehKinkaidNorthmont A4020
Jacob Goldman-WetzlerHastingsBelmont4220
Aaron BullionsSt. XavierHoover B4220
Sohum SukhatankarSt. Mark'sRichard Montgomery A4720
Sanjay Shanmuga PerumalLambertLivingston B4820
Rohan DalalJohns Creek ACanyon Crest4920
Kevin ZhangLivingston AJohns Creek B5220
Jingyi WuStevenson AMaggie Walker C5220
Rishabh MahaleOkemosSeven Lakes5220
Nathan LiangThomas Jefferson DInnovation Academy A5320
Jonathan OuyangUniversity LabHeights5520
Timothy PorterMaggie Walker AHunter A5520
Vidur KothurLindberghMaggie Walker B5720
Samuel ShottesHunter BGreat Valley6210
Sky HongChoate Rosemary HallJames W. Robinson6610
Rohan KherBarringtonThomas Jefferson A6910
Spencer ThomasDurham ATCarbondale7210
Brandon TorresCarl SandburgSaint Joseph7810
Jakub HelHoover AStrake Jesuit7810
Aditya PatnaikBeavercreekWest Point8810
Ben HellmanGeorgetown DayWinston Churchill A8810
Janani GollapalliLightridgeRichard Montgomery B8810
Rajiv PujaraFairfield County ATNorfolk Academic Guild9010
Nolan KingElkhorn NorthInnovation Academy B9010
Andrew EvansMcLean BDuPage County AT9010
Aarushi KanigicherlaThomas Jefferson CDetroit Catholic Central C9010
Karl BarnickolWalter Payton AAlabama Cyber Tech9010
Pranav AiyarWilliam FremdDowningtown STEM9010
Jonathan TaoStevenson BBloomington9410
Beckett GilmoreOwensboroDetroit Catholic Central B10310
Jacob BartaDetroit Catholic Central AMexico10510
Sam CohenMcLean AWinston Churchill B11710
Alec RisoThomas Jefferson BChattahoochee11910
Matthew WozniakFreemanCincinnati Hills11910
Kevin AdlerNorthmont BSolon11910
Zacariah HartSt. ThomasWalter Payton B11910

Summary

TournamentEditionExact Match?TUHConv. %Power %Neg %Average Buzz
2024 PACE NSC06/08/2024Y36100%36%0%76.89