Initial commit

Signed-off-by: Andreas Florath <[email protected]>

README.md

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 ---
 license: other
 license_name: multiple
-license_link: LICENSE
+license_link: data/info.parquet
+language:
+- code
+- coq
+task_categories:
+- text-generation
+tags:
+- mathematics
+- formal-proof
+pretty_name: Coq Facts, Propositions and Proofs
+size_categories:
+- 100K<n<1M
+source_datasets:
+- https://github.com/coq-community/autosubst.git
+- https://gitlab.inria.fr/fbesson/itauto.git
+- https://github.com/coq-community/apery.git
+- https://github.com/coq-contribs/dep-map.git
+- https://github.com/coq-community/math-classes.git
+- https://github.com/coq-contribs/amm11262.git
+- https://gitlab.inria.fr/flocq/flocq.git
+- https://github.com/uds-psl/coq-library-undecidability.git
+- https://github.com/vafeiadis/hahn.git
+- https://github.com/coq-community/trocq.git
+- https://github.com/coq-community/tarjan.git
+- https://github.com/coq-community/generic-environments.git
+- https://github.com/imdea-software/htt.git
+- https://gitlab.mpi-sws.org/iris/stdpp.git
+- https://github.com/coq-contribs/coinductive-reals.git
+- https://github.com/coq-community/bertrand.git
+- https://github.com/coq-contribs/hoare-tut.git
+- https://github.com/coq-contribs/cfgv.git
+- https://github.com/artagnon/bonak.git
+- https://github.com/coq-community/coq-ext-lib.git
+- https://github.com/coq-contribs/checker.git
+- https://gitlab.inria.fr/coqinterval/interval.git
+- https://gitlab.inria.fr/gappa/coq.git
+- https://github.com/imdea-software/fcsl-pcm.git
+- https://github.com/coq-community/proviola.git
+- https://gitlab.com/umb-svl/turing.git
+- https://github.com/damien-pous/relation-algebra.git
+- https://github.com/coq-community/HighSchoolGeometry.git
+- https://github.com/coq-community/coqeal.git
+- https://github.com/coq-community/semantics.git
+- https://github.com/coq-contribs/algebra.git
+- https://github.com/coq-contribs/abp.git
+- https://github.com/coq/coq.git
+- https://github.com/coq-contribs/demos.git
+- https://github.com/coq-community/pocklington.git
+- https://github.com/coq-contribs/cantor.git
+- https://github.com/coq-community/notation-gallery.git
+- https://github.com/coq-contribs/ctltctl.git
+- https://github.com/HoTT/Coq-HoTT.git
+- https://github.com/coq-community/corn.git
+- https://github.com/affeldt-aist/monae.git
+- https://github.com/coq-community/stalmarck.git
+- https://github.com/coq-community/qarith-stern-brocot.git
+- https://github.com/coq-contribs/bdds.git
+- https://github.com/DeepSpec/InteractionTrees.git
+- https://github.com/coq-community/lemma-overloading.git
+- https://github.com/coq-community/coq-art.git
+- https://github.com/coq-community/coq-performance-tests.git
+- https://github.com/impermeable/coq-waterproof.git
+- https://github.com/coq-contribs/dblib.git
+- https://github.com/math-comp/algebra-tactics.git
+- https://github.com/coq-community/zorns-lemma.git
+- https://github.com/smtcoq/smtcoq.git
+- https://gitlab.inria.fr/coquelicot/coquelicot.git
+- https://github.com/coq-community/sudoku.git
+- https://github.com/QuickChick/QuickChick.git
+- https://github.com/coq-contribs/ails.git
+- https://github.com/math-comp/math-comp.git
+- https://github.com/plclub/metalib.git
+- https://github.com/xavierleroy/cdf-mech-sem.git
+- https://github.com/CertiGraph/CertiGraph.git
+- https://github.com/math-comp/Coq-Combi.git
+- https://github.com/coq-contribs/additions.git
+- https://github.com/coq-community/regexp-Brzozowski.git
+- https://github.com/math-comp/finmap.git
+- https://github.com/coq-community/huffman.git
+- https://github.com/mattam82/Coq-Equations.git
+- https://github.com/math-comp/multinomials.git
+- https://github.com/roglo/puiseuxth.git
+- https://github.com/thery/FlocqLecture.git
+- https://github.com/math-comp/odd-order.git
+- https://github.com/uwplse/verdi.git
+- https://github.com/mit-plv/fiat.git
+- https://github.com/adampetcher/fcf.git
+- https://github.com/uncomputable/natural-number-game.git
+- https://github.com/mit-plv/bbv.git
+- https://github.com/coq-community/fourcolor.git
+- https://github.com/coq-community/coqtail-math.git
+- https://github.com/coq-community/almost-full.git
+- https://github.com/coq-contribs/dictionaries.git
+- https://github.com/clarksmr/sf-lectures.git
+- https://github.com/affeldt-aist/infotheo.git
+- https://github.com/coq-community/gaia.git
+- https://github.com/coq-contribs/circuits.git
+- https://github.com/coq-contribs/coq-in-coq.git
+- https://github.com/coq-community/hoare-tut.git
+- https://github.com/thery/minirubik.git
+- https://github.com/coq-contribs/coinductive-examples.git
+- https://github.com/coq-community/bits.git
+- https://github.com/coq-community/graph-theory.git
+- https://github.com/coq-community/hydra-battles.git
+- https://github.com/coq-community/coq-100-theorems.git
+- https://github.com/coq-community/metaprogramming-rosetta-stone.git
+- https://github.com/coq-community/buchberger.git
+- https://github.com/math-comp/Abel.git
+- https://github.com/thery/mathcomp-extra.git
+- https://github.com/coq-contribs/coalgebras.git
+- https://github.com/thery/coqprime.git
+- https://github.com/coq-community/atbr.git
+- https://github.com/coq-community/bignums.git
+- https://github.com/coq-community/aac-tactics.git
+- https://github.com/codyroux/name-the-biggest-number.git
+- https://github.com/math-comp/trajectories.git
+- https://github.com/coq-contribs/concat.git
+- https://github.com/math-comp/real-closed.git
+- https://github.com/lukaszcz/coqhammer.git
+- https://github.com/jwiegley/category-theory.git
+- https://github.com/math-comp/dioid.git
+- https://github.com/jwiegley/coq-haskell.git
+- https://github.com/math-comp/analysis.git
+- https://github.com/coq-community/dblib.git
+- https://github.com/coq-community/topology.git
+- https://github.com/coq-contribs/automata.git
+- https://github.com/coq-community/reglang.git
+- https://github.com/thery/T2048.git
+- https://github.com/lthms/FreeSpec.git
+- https://github.com/charguer/tlc.git
+- https://github.com/tchajed/coq-record-update.git
+- https://github.com/coq-contribs/classical-realizability.git
+- https://github.com/coq-community/comp-dec-modal.git
+- https://github.com/coq-community/coqoban.git
+- https://github.com/coq-community/parseque.git
+- https://github.com/UniMath/UniMath.git
+- https://github.com/coq-contribs/distributed-reference-counting.git
+- https://github.com/coq-community/jmlcoq.git
+- https://github.com/SSProve/ssprove.git
+- https://github.com/coq-community/chapar.git
+- https://github.com/coq-community/alea.git
+- https://github.com/coq-community/paramcoq.git
+- https://github.com/snu-sf/paco.git
+- https://github.com/math-comp/mczify.git
+- https://github.com/ilyasergey/pnp.git
+- https://github.com/Mtac2/Mtac2.git
+- https://github.com/Deducteam/coq-hol-light.git
+- https://github.com/coq-community/coqffi.git
+- https://github.com/math-comp/tutorial_material.git
+- https://github.com/GeoCoq/GeoCoq.git
+- https://github.com/math-comp/bigenough.git
+- https://github.com/thery/hanoi.git
+- https://github.com/coq-community/coq-mmaps.git
+- https://github.com/fblanqui/color.git
+- https://github.com/Matafou/LibHyps.git
 ---
+
+# Dataset Name: Coq Facts, Propositions and Proofs
+
+## Dataset Description
+
+The CoqFactsPropsProofs dataset aims to enhance Large Language Models'
+(LLMs) proficiency in interpreting and generating Coq code by
+providing a comprehensive collection of over 10,000 Coq source
+files. It encompasses a wide array of propositions, proofs, and
+definitions, enriched with metadata including source references and
+licensing information. This dataset is designed to facilitate the
+development of models capable of generating syntactically correct and
+semantically meaningful Coq constructs, thereby advancing automated
+theorem proving.
+
+## Composition
+
+* Files: Over 10,000 Coq source files (`.v` files).
+* Tables: Three distinct tables: facts (definitions or notations),
+  propositions (theorems and lemmas alongside proofs), and
+  licensing/repository information.
+* Entries: 103,351 facts and 166,007 propositions with proofs.
+* Size: Character length ranging from as short as 11 to as long as
+  177,585 characters.
+* Source and Collection Method: The Coq source files were collected
+  from various internet sources, focusing on repositories pivotal
+  within the Coq community. These sources range from foundational
+  libraries and formalized mathematical theorems to computer science
+  theories and algorithm implementations. The collection process
+  prioritized quality, relevance, and the contribution of each source
+  to the Coq ecosystem.
+
+## Licenses
+
+The dataset includes a diverse range of open-source licenses,
+reflecting the variety in the Coq community and the broader
+open-source ecosystem. Some of the licenses included are MIT, GPL
+(versions 2.0 and 3.0), LGPL (versions 2.1 and 3.0), Apache 2.0, BSD
+(2-Clause and 3-Clause), CECILL (versions 1.0, 2.1, B, C), MPL-2.0,
+and the UniMath License. Each entry in the dataset links to detailed
+license information, ensuring compliance and redistribution legality.
+
+## Usage
+
+This dataset is provided in three parquet files and can be employed in
+a variety of ways depending on the use case. An example usage case
+includes training or fine-tuning models to focus on proofs rather than
+definitions and notations. The dataset also allows for filtering based
+on specific licenses using the `info.parquet` file.
+
+## Experiments and Findings
+
+Initial experiments with the dataset have demonstrated its potential
+in improving the accuracy of LLMs in generating Coq code. Fine-tuning
+an existing base model with this dataset resulted in outputs
+predominantly in Coq syntax, highlighting the dataset's efficacy in
+specialized model training for formal theorem proving.
+
+## Challenges and Limitations
+
+* High standard deviations in fact, proposition, and proof lengths
+  indicate the presence of outliers with significantly long content.
+* The complexity of licensing and the manual process of license
+  identification for each repository.

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