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.gitignore DELETED
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- *.lock
 
 
README.md DELETED
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- ---
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- annotations_creators:
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- - no-annotation
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- language:
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- - en
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- language_creators:
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- - found
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- license: []
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- multilinguality:
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- - monolingual
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- pretty_name: proof-pile
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- size_categories: []
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- source_datasets: []
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- tags:
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- - math
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- - mathematics
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- - formal-mathematics
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- task_categories:
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- - text-generation
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- task_ids:
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- - language-modeling
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- ---
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-
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- # Dataset Description
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- The `proof-pile` is a 36GB pre-training dataset of mathematical text that comprises roughly 15 billion tokens. Models trained on this dataset are coming soon :) The dataset is composed of diverse sources of both informal and formal mathematics, namely
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- - ArXiv.math (35GB)
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- - Open-source math textbooks (50MB)
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- - Formal mathematics libraries (500MB)
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- - Lean mathlib and other Lean repositories
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- - Isabelle AFP
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- - Coq mathematical components and other Coq repositories
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- - HOL Light
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- - set.mm
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- - Mizar Mathematical Library
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- - Math Overflow and Math Stack Exchange (500MB)
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- - Wiki-style sources (50MB)
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- - ProofWiki
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- - Wikipedia math articles
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- - MATH dataset (6MB)
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-
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- The construction of the dataset is reproducible using the code and instructions in the [proof-pile Github
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- repo](https://github.com/zhangir-azerbayev/proof-pile).
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-
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- # Supported Tasks
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- This dataset is intended to be used for pre-training and fine-tuning language models. We envision models trained on the `proof-pile` will have many downstream applications, including informal quantitative reasoning, formal theorem proving, semantic search for formal mathematics, and autoformalization.
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-
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- # Languages
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- All informal mathematics in the `proof-pile` is written in English and LaTeX (arXiv articles in other languages are filtered out using [languagedetect](https://github.com/shuyo/language-detection/blob/wiki/ProjectHome.md)). Formal theorem proving languages represented in this dataset are Lean 3, Isabelle, Coq, HOL Light, Metamath, and Mizar.
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-
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- # Evaluation
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- The version of `set.mm` in this dataset has 10% of proofs replaced with the `?` character in order to preserve a validation and test set for Metamath provers pre-trained on the `proof-pile`. The precise split can be found here: [validation](https://github.com/zhangir-azerbayev/mm-extract/blob/main/valid_decls.json) and [test](https://github.com/zhangir-azerbayev/mm-extract/blob/main/test_decls.json).
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- The Lean mathlib commit used in this dataset is `6313863`. Theorems created in subsequent commits can be used for evaluating Lean theorem provers.
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-
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- This dataset contains only the training set of the [MATH dataset](https://github.com/hendrycks/math). However, because this dataset contains ProofWiki, the Stacks Project, Trench's Analysis, and Stein's Number Theory, models trained on it cannot be evaluated on the [NaturalProofs dataset](https://github.com/wellecks/naturalproofs).
55
-
56
- # Data Preprocessing
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- This section describes any significant filtering and transformations made to various subsets of the data.
58
-
59
- **arXiv.math.**
60
- The arXiv.math dataset is large, heterogeneous, and contains a great deal of noise. We used the following heuristics
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- when choosing which files from arXiv.math source folders to include in the dataset:
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- - Keep only files with a `.tex` extension.
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- - Only include files that use either a `utf-8/16/32` or `latin-1` text encoding.
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- - Discard files that do not contain a part, chapter, section, sub...section, paragraph, or subparagraph heading.
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- - Delete files that contain the keyword `gnuplot`. Gnuplot-latex is an old command line utility that generates blocks
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- of entirely unintelligible source.
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- - Include only articles in English, as determined by the [langdetect library](https://pypi.org/project/langdetect/). \n",
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- "\n",
69
- - Exclude files shorter than 280 characters (characters counted after substring removal described below).
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-
71
- In addition, we apply the following transformations to arXiv.math texts:
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-
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- - Delete everything outside of `\begin{document}` and `\end{document}`.
74
- - Delete everything including or after `\Refs`, `\begin{thebibliography}`, or `\begin{bibdiv}`
75
- - Delete comments.
76
- - Any more than three consecutive newlines are replaced by three consecutive newlines.
77
- In [this notebook](https://github.com/zhangir-azerbayev/proof-pile/blob/main/analysis/arxiv_noisedetection.ipynb), we provide an analysis of the prevalence of noisy documents in the arXiv.math subset of the
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- proof-pile.
79
-
80
- **Stack Exchange.**
81
- We only include questions that have at least 5 upvotes and an answer. We format Stack Exchange posts as follows
82
- ```
83
- QUESTION [{num_upvotes} upvotes]: {text of question}
84
-
85
- REPLY [{num_upvotes} votes]: {text of reply}
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-
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- REPLY [{num_upvotes} votes]: {text of reply}
88
-
89
- .
90
- .
91
- .
92
- ```
93
-
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- **set.mm.**
95
- We converted `set.mm` into human-readable form by following the instructions in the [mm-extract repo](https://github.com/zhangir-azerbayev/mm-extract)
96
-
97
- ## Contributions
98
- Authors: Zhangir Azerbayev, Edward Ayers, Bartosz Piotrowski.
99
-
100
- We would like to thank Jeremy Avigad, Albert Jiang, and Wenda Li for their invaluable guidance, and the Hoskinson Center for Formal Mathematics for its support.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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example.py DELETED
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- from datasets import load_dataset
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- from itertools import islice
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- import sys
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- import time
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- from tqdm import tqdm
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-
7
- dataset = load_dataset("./proof-pile.py", "default")
8
-
9
- size = dataset["train"].dataset_size / 2**30
10
- print(f"{size} GB TRAIN TOTAL")
11
- print(dataset)
12
- for x in tqdm(dataset["train"]):
13
- print("EXAMPLE INSTANCE (trimmed):")
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- print(x["text"][:100])
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- break
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-
17
- then = time.time()
18
- for x in tqdm(dataset["train"]):
19
- pass
20
- now = time.time()
21
- print(f"{size} GB TRAIN TOTAL")
22
- print(f"TRAVERSED IN {now-then} SECONDS")
23
-
24
- size += dataset["validation"].dataset_size/2**30 + dataset["test"].dataset_size/2**30
25
- print(f"{size} GB TOTAL (TRAIN, VAL, TEST)")
26
-
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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proof-pile.py DELETED
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- # Copyright 2020 The HuggingFace Datasets Authors and the current dataset script contributor.
2
- #
3
- # Licensed under the Apache License, Version 2.0 (the "License");
4
- # you may not use this file except in compliance with the License.
5
- # You may obtain a copy of the License at
6
- #
7
- # http://www.apache.org/licenses/LICENSE-2.0
8
- #
9
- # Unless required by applicable law or agreed to in writing, software
10
- # distributed under the License is distributed on an "AS IS" BASIS,
11
- # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12
- # See the License for the specific language governing permissions and
13
- # limitations under the License.
14
- """A dataset of high quality mathematical text."""
15
-
16
-
17
- import csv
18
- import json
19
- import ndjson
20
- import os
21
- import sys # just for debugging, delete
22
-
23
- import itertools
24
- from itertools import islice
25
-
26
- import datasets
27
-
28
-
29
- # TODO: Add BibTeX citation
30
- # Find for instance the citation on arxiv or on the dataset repo/website
31
- _CITATION = """\
32
- @InProceedings{huggingface:dataset,
33
- title = {proof-pile},
34
- author={Zhangir Azerbayev, Edward Ayers, Bartosz Piotrowski
35
- },
36
- year={2022}
37
- }
38
- """
39
-
40
- # TODO: Add description of the dataset here
41
- # You can copy an official description
42
- _DESCRIPTION = """\
43
- A dataset of high quality mathematical text. """
44
- _HOMEPAGE = "https://huggingface.co/datasets/hoskinson-center/proof-pile"
45
-
46
- # TODO: Add the licence for the dataset here if you can find it
47
- _LICENSE = "MIT"
48
-
49
- # TODO: Add link to the official dataset URLs here
50
- # The HuggingFace Datasets library doesn't host the datasets but only points to the original files.
51
- # This can be an arbitrary nested dict/list of URLs (see below in `_split_generators` method)
52
- _URLS = {
53
- "first_domain": "https://huggingface.co/datasets/hoskinson-center/proof-pile",
54
- }
55
-
56
-
57
- # TODO: Name of the dataset usually match the script name with CamelCase instead of snake_case
58
- class ProofPile(datasets.GeneratorBasedBuilder):
59
- """A dataset of high quality mathematical text"""
60
-
61
- VERSION = datasets.Version("1.0.0")
62
-
63
- # This is an example of a dataset with multiple configurations.
64
- # If you don't want/need to define several sub-sets in your dataset,
65
- # just remove the BUILDER_CONFIG_CLASS and the BUILDER_CONFIGS attributes.
66
-
67
- # If you need to make complex sub-parts in the datasets with configurable options
68
- # You can create your own builder configuration class to store attribute, inheriting from datasets.BuilderConfig
69
- # BUILDER_CONFIG_CLASS = MyBuilderConfig
70
-
71
- # You will be able to load one or the other configurations in the following list with
72
- # data = datasets.load_dataset('my_dataset', 'first_domain')
73
- # data = datasets.load_dataset('my_dataset', 'second_domain')
74
- BUILDER_CONFIGS = [
75
- datasets.BuilderConfig(name="default", version=VERSION, description=""),
76
- ]
77
-
78
-
79
- def _info(self):
80
- # TODO: This method specifies the datasets.DatasetInfo object which contains informations and typings for the dataset
81
- features = datasets.Features(
82
- {
83
- "text": datasets.Value("string"),
84
- "meta": datasets.Value("string")
85
- # These are the features of your dataset like images, labels ...
86
- }
87
- )
88
- return datasets.DatasetInfo(
89
- # This is the description that will appear on the datasets page.
90
- description=_DESCRIPTION,
91
- # This defines the different columns of the dataset and their types
92
- features=features, # Here we define them above because they are different between the two configurations
93
- # If there's a common (input, target) tuple from the features, uncomment supervised_keys line below and
94
- # specify them. They'll be used if as_supervised=True in builder.as_dataset.
95
- # supervised_keys=("sentence", "label"),
96
- # Homepage of the dataset for documentation
97
- homepage=_HOMEPAGE,
98
- # License for the dataset if available
99
- license=_LICENSE,
100
- # Citation for the dataset
101
- citation=_CITATION,
102
- )
103
-
104
- def _split_generators(self, dl_manager):
105
- # TODO: This method is tasked with downloading/extracting the data and defining the splits depending on the configuration
106
- # If several configurations are possible (listed in BUILDER_CONFIGS), the configuration selected by the user is in self.config.name
107
-
108
- # dl_manager is a datasets.download.DownloadManager that can be used to download and extract URLS
109
- # It can accept any type or nested list/dict and will give back the same structure with the url replaced with path to local files.
110
- # By default the archives will be extracted and a path to a cached folder where they are extracted is returned instead of the archive
111
-
112
- train_files = [dl_manager.download_and_extract(f"train/proofpile_train_{i}.jsonl.gz") for i in range(8)]
113
- val_files = [dl_manager.download_and_extract("dev/proofpile_dev.jsonl.gz")]
114
- test_files = [dl_manager.download_and_extract("test/proofpile_test.jsonl.gz")]
115
-
116
- return [
117
- datasets.SplitGenerator(
118
- name=datasets.Split.TRAIN,
119
- # These kwargs will be passed to _generate_examples
120
- gen_kwargs={
121
- "data_files": train_files,
122
- },
123
- ),
124
- datasets.SplitGenerator(
125
- name=datasets.Split.VALIDATION,
126
- # These kwargs will be passed to _generate_examples
127
- gen_kwargs={
128
- "data_files": val_files,
129
- },
130
- ),
131
- datasets.SplitGenerator(
132
- name=datasets.Split.TEST,
133
- gen_kwargs={
134
- "data_files": test_files,
135
- },
136
- ),
137
- ]
138
- # method parameters are unpacked from `gen_kwargs` as given in `_split_generators`
139
- def _generate_examples(self, data_files):
140
- # TODO: This method handles input defined in _split_generators to yield (key, example) tuples from the dataset.
141
- # The `key` is for legacy reasons (tfds) and is not important in itself, but must be unique for each example.
142
- key = 0
143
- for name in data_files:
144
- with open(name) as f:
145
- instances = ndjson.load(f)
146
- for instance in instances:
147
- yield key, {"text": instance["text"],
148
- "meta": json.dumps(instance["meta"])}
149
- key += 1
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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