Update index.md

Author: mtian8

docs/index.md

@@ -20,10 +20,14 @@
 
 <p align="center">
 * Equal contribution lead authors. † Data curation, alphabetical order.
-    
-‡ Corresponding to: {mtian8,haopeng}@illinois.edu, [email protected]
+‡ Corresponding to: {mtian8, haopeng}@illinois.edu, [email protected]
 </p>
 
+## Introduction
+SciCode is a newly developed benchmark designed to evaluate the capabilities of language models (LMs) in generating code for solving realistic scientific research problems. It has a diverse coverage of **6** domains: Physics, Math, Material Science, Biology, and Chemistry. They span 16 diverse natural science sub-fields. Unlike previous benchmarks that consist of question-answer pairs, SciCode problems naturally factorize into multiple subproblems, each involving knowledge recall, reasoning, and code synthesis. In total, SciCode contains **338** subproblems decomposed from **80** challenging main problems, and it offers optional descriptions specifying useful scientific background information and scientist-annotated gold-standard solutions and test cases for evaluation.
+
+
+## Overview
 
 
 
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     [:octicons-arrow-right-24: Browse the results](leaderboard.md)
 
--   :material-book:{ .lg .middle } __Preprint__
+-   :material-book:{ .lg .middle } __Paper__
 
     ---
 
     Learn all the details
 
-    [:octicons-arrow-right-24: Read the preprint](https://arxiv.com)
+    [:octicons-arrow-right-24: Read the paper](https://arxiv.com)
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