Link to the repository on GitHub: https://github.com/trishullab/PUTNAM

# PutnamBench

PutnamBench is a benchmark for the evaluation of theorem-proving algorithms on competition mathematics problems sourced from the William Lowell Putnam Mathematical Competition years 1965 - 2023. Our formalizations currently support three formal languages: Lean 4 $\land$ Isabelle $\land$ Coq. PutnamBench comprises over 1300 manual formalizations, aggregated over all languages.

PutnamBench aims to support research in automated mathematical reasoning by providing a multilingual benchmark for evaluating theorem-proving algorithms. It is released under permissive licenses (Apache 2.0 for Lean 4 and Isabelle, MIT for Coq), and we encourage community contributions (TODO: After initial release)

## Author List
George Tsoukalas (corresponding author email: george.tsoukalas@utexas.edu)
Jasper Lee
John Jennings
Jimmy Xin
Michelle Ding
Michael Jennings
Amitayush Thakur
Swarat Chaudhuri

## Statistics 
| Language      | Count          |
| ------------- | -------------- |
| Lean 4        | 514            |
| Isabelle      | 514            |
| Coq           | 309            |

We also report the number of problems in a certain category. Note that some problems fall under multiple categories.

| Category         | Total Quantity | 
| ---------------- | -------------- | 
| Algebra          | 218            | 
| Analysis         | 176            |
| Number Theory    | 97             | 
| Linear Algebra   | 43             | 
| Abstract Algebra | 25             | 
| Geometry         | 22             | 
| Combinatorics    | 12              | 
| Set Theory       | 4              | 
| Probability      | 2              | 


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license: apache-2.0
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