Extending MKM Formats at the Statement Level

Horozal, Fulya; Kohlhase, Michael; Rabe, Florian

doi:10.1007/978-3-642-31374-5_5

Cited by 11 publications

(5 citation statements)

References 12 publications

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“…To catch and mimic this practice, Mmt provides two mechanisms for representing elaborationbased features. Declaration patterns [23,25] are used for statements whose elaboration can be defined declaratively by simple rules. We use it to define HOL type definitions and the various definition principles of Mizar.…”

Section: User-level Versus Kernel-level Languagementioning

confidence: 99%

Experiences from Exporting Major Proof Assistant Libraries

Kohlhase

Rabe

2021

J Autom Reasoning

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The interoperability of proof assistants and the integration of their libraries is a highly valued but elusive goal in the field of theorem proving. As a preparatory step, in previous work, we translated the libraries of multiple proof assistants, specifically the ones of Coq, HOL Light, IMPS, Isabelle, Mizar, and PVS into a universal format: OMDoc/MMT. Each translation presented great theoretical, technical, and social challenges, some universal and some system-specific, some solvable and some still open. In this paper, we survey these challenges and compare and evaluate the solutions we chose. We believe similar library translations will be an essential part of any future system interoperability solution, and our experiences will prove valuable to others undertaking such efforts.

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Section: User-level Versus Kernel-level Languagementioning

confidence: 99%

Experiences from Exporting Major Proof Assistant Libraries

Kohlhase

Rabe

2021

J Autom Reasoning

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“…sT E X itself is integrated, and shares an underlying OMDOC ontology, with the MMT system (Rabe & Kohlhase, 2013;Horozal et al, 2012;Rabe, 2017) -a foundation-independent metaframework and API for knowledge management services. This integration makes the generic services provided by MMT-e.g.…”

Section: Mmtmentioning

confidence: 99%

Disambiguating Symbolic Expressions in Informal Documents

Müller¹,

Kaliszyk²

2021

Preprint

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We propose the task of disambiguating symbolic expressions in informal STEM documents in the form of L A T E X files -that is, determining their precise semantics and abstract syntax tree -as a neural machine translation task. We discuss the distinct challenges involved and present a dataset with roughly 33,000 entries. We evaluated several baseline models on this dataset, which failed to yield even syntactically valid L A T E X before overfitting. Consequently, we describe a methodology using a transformer language model pre-trained on sources obtained from arxiv.org, which yields promising results despite the small size of the dataset. We evaluate our model using a plurality of dedicated techniques, taking the syntax and semantics of symbolic expressions into account.

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“…To catch and mimic this practice, Mmt provides two mechanisms for representing elaboration-based features. Declaration patterns [23,25] are used for statements whose elaboration can be defined declaratively by simple rules. We use it to define HOL type definitions and the various definition principles of Mizar.…”

Section: User-level Vs Kernel-level Syntaxmentioning

confidence: 99%

Experiences from Exporting Major Proof Assistant Libraries

Kohlhase¹,

Rabe²

2020

Preprint

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The interoperability of proof assistants and the integration of their libraries is a highly valued but elusive goal in the field of theorem proving. As a preparatory step, in previous work, we translated the libraries of multiple proof assistants, specifically the ones of Coq, HOL Light, IMPS, Isabelle, Mizar, and PVS into a universal format: OMDoc/MMT.Each translation presented tremendous theoretical, technical, and social challenges, some universal and some system-specific, some solvable and some still open. In this paper, we survey these challenges and compare and evaluate the solutions we chose.We believe similar library translations will be an essential part of any future system interoperability solution and our experiences will prove valuable to others undertaking such efforts.

show abstract

Extending MKM Formats at the Statement Level

Cited by 11 publications

References 12 publications

Experiences from Exporting Major Proof Assistant Libraries

Experiences from Exporting Major Proof Assistant Libraries

Disambiguating Symbolic Expressions in Informal Documents

Experiences from Exporting Major Proof Assistant Libraries

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