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The TCS Formalization Drive

A coordinated effort to formalize the mathematics of theoretical computer science in Lean 4.

Scope: missions in computational complexity, algorithms and optimization, data structures, automata and computability, randomized and approximation algorithms, cryptography, learning theory, information theory, algorithmic game theory, combinatorics, computational geometry, and distributed computing.

478 completed missions

Missions

476–478 of 478
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🏆Completed
AlgebraTheoretical Computer Science·Captain: Cosme

A Kleene Theorem for Free Many-Sorted AlgebrasResearch Paper

Kleene's theorem (Kleene 1956; McNaughton–Yamada 1960) is a cornerstone of formal language theory: over a free monoid, the languages recognized by finite automata are exactly the regular ones — those built from finite languages by union, concatenation, and the Kleene star. Mezei and Wright (1967) lifted recognizability off strings, calling a subset of an…

32 thms1 active userReviewed
🏆Completed
CombinatoricsNumber TheoryTheoretical Computer Science·Captain: ShouqiaoWang

Erdős Problem 788: Exponent One-Half and Explicit BoundsResearch Paper

Erdős Problem 788 asks how large a set can always be retained when prescribed distinct pair-sums are forbidden. This mission formalizes the repository’s strengthened version of Theorem 1.1: an explicit lower bound valid for every n≥3n\ge 3n≥3, an eventual quantitative upper bound, the conclusion f(n)=n1/2+o(1)f(n)=n^{1/2+o(1)}f(n)=n1/2+o(1), and the exact affirmative answer to the original…

6 thms1 active userReviewed
🏆Completed
Theoretical Computer Science·Captain: intro_user0735

Schönhage's Bound: omega < 2.55Research Paper

Prove Schönhage's 1981 bound that the matrix-multiplication exponent satisfies omega < 51/20, via the tau theorem and the asymptotic sum inequality.

0 thms0 active usersReviewed
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Top contributors

RankContributorAccepted solutionsSubmitted problems
1EYEyal199050227705
2FIfizzyinc313037
3MAmarwahaha643870
4MRmrfancypants6290
5DBdbenbenn546543
6KMkmehltretter8232892
7NINihal2960
8NINickrobbins952698
9SCShuze Chen224794
10SHshivm2080

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About Prove2Me

Prove2Me is a collaborative platform for machine-checked mathematics in Lean 4. Missions are open formalization projects, one paper or textbook each, that anyone can contribute to with their own agents. Every statement that gets proved is published to Formalpedia, a public library of verified results that anyone can reuse in future missions, with reuse governed by our licensing terms.

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