Formalizing informal proofs written in Mathematical English

 

Linguistics of Mathematics

 

Mohan Ganesalingam    The Language of Mathematics (Thesis)

Aarne Ranta                       “Type Theory and the Informal Language of Mathematics”

                                                “Syntactic Categories in the Language of Mathematics”

Clauss Zinn                          Understanding Informal Mathematical Proofs” (Thesis)

Kay O’Halloran                  “Mathematical Discourse: Language, Symbolism, and Visual Images” (Book)

Charles Wells                     “A Handbook of Mathematical Discourse” (Book)

Zinaida Trybulec               Some Remarks on The Language of Mathematical Texts

Manfred Kerber                               Informal and Formal Representations in Mathematics

Candia Morgan                 The Language of Mathematics”: Towards a Critical Analysis of Mathematics Texts

Discourse Representation Theory

 

Hans Kamp                         “From Discourse to Logic: Introduction to Modeltheoretic Semantics of Natural Language, Formal Logic and Discourse Representation Theory”” (Book)

Patrick Blackburn             Working with Discourse Representation Theory” (Book)

Uwe Weyle                        Discourse Representation Theory” (Book)

 

 

Relation Algebras and Natural Language

 

Michael Bottner               Peirce Grammar

                                                Relational Grammar” (Book from Thesis)

Renate Schmidt                “Terminological Representation, Natural Language & Relation Algebra”

                                                “Relational Grammars for Knowledge Representation”

Patrick Suppes                  Elimination of quantifiers in the semantics of natural language by use of extended relation algebras

Uta Priss                              An application of relation algebra to lexical databases

Information Extraction from Mathematical Texts

 

Stefan Anca                        Natural Language and Mathematical Processing for Applicable Theorem Search” (Thesis)

Deyan Ginev                      The Structure of Mathematical Expressions” (Thesis)

Mihai Grigore                    Knowledge-poor Interpretation of Mathematical Expressions in Context” (Thesis)

Magdelena Walska          “A Language Engineering Architecture for Processing Informal Mathematical Discourse”

Marie Blanke                     Natural Language Processing of Mathematical Texts in mArachna

Sabina Jeschke                  “Information extraction from mathematical texts by means of natural language processing techniques”

Research Groups Focusing on Formalizing Informal Proofs

 

Knowledge Adaptation and Reasoning for Content Group (KWARC)

The Language and Mathematics Processing and Understanding Group (LaMaPUn)

Natural Language Proof Checking (Naproche)

Omega Group

Active Math

FMathL

Attempto

 

Document Support for Content of Mathematics

 

MathML

OmDoc

OpenMath

LaTeXML

 

Conferences

 

Tenth International Conference on Mathematical Knowledge Management

European Summer School in Logic, Language, and Information

Related Work

 

Andrew Aberdein            “The Argument of Mathematics” (Book)

Edwin Coleman                 “The Role of Notation in Mathematics” (Thesis)

Florian Cajori                      A History of Mathematical Notations vol I & II

Steven Schwartzman     The Words of Mathematics: An Etymological Dictionary of Mathematical Terms used in English

 

 

Formalized Mathematics

 

IsarMathLib                        “A library of formalized mathematics for Isabelle/ZF theorem proving environment”

Mizar                                     Journal of Formalized Mathematics

Coq Proof Assistant        The Coq Standard Library

MetaMath                          Metamath Proof Explorer

 

People

 

Jeremy Avigad                  A language for Mathematical Knowledge Management

David Oakey                       English for Academic Purposes (ISU)