ACL2
A Beginner’s Guide to Reasoning about Quantification in ACL2
https://www.cs.utexas.edu/users/moore/acl2/current/manual/index.html?topic=ACL2____QUANTIFIER-TUTORIAL
Originally written by Sandip Ray
Sanaz Khan Afshar
Vincent Aravantinos
Osman Hasan
Sofiène Tahar
2014
Formalization of Complex Vectors in Higher-Order Logic
Stephen M. Watt
James H. Davenport
Alan P. Sexton
Petr Sojka
Josef Urban
Intelligent Computer Mathematics
Springer International Publishing
Cham
123–137
10.1023/A:1012692601098
Leif O. Arkeryd
Nigel J. Cutland
C. Ward Henson (Eds.)
1997
Nonstandard Analysis: Theory and Applications
1st
Nato Science Series C: 493
Springer Netherlands
10.1007/978-94-011-5544-1
John Cowles
Ruben Gamboa
2017
The Cayley-Dickson Construction in ACL2
Anna Slobodova
Warren Hunt, Jr.
Proceedings 14th International Workshop on the ACL2 Theorem Prover and its Applications, Austin, Texas, USA, May 22-23, 2017
Electronic Proceedings in Theoretical Computer Science
249
Open Publishing Association
18–29
10.4204/EPTCS.249.2
Ruben A. Gamboa
Matt Kaufmann
2001
Nonstandard Analysis in ACL2
Journal of Automated Reasoning
27
4
323–351
10.1023/A:1011908113514
John Harrison
2005
A HOL Theory of Euclidean Space
Joe Hurd
Tom Melham
Theorem Proving in Higher Order Logics
Springer Berlin Heidelberg
Berlin, Heidelberg
114–129
10.1007/11541868_8
Nathan Jacobson
1985
Basic Algebra I
2nd
Dover Publications
Nathan Kahl
The Hundred Greatest Theorems
Online
http://pirate.shu.edu/~kahlnath/Top100.html
Originally published by Paul and Jack Abad (1999)
Gerwin Klein
The Top 100 Theorems in Isabelle
Online
https://www.cse.unsw.edu.au/~kleing/top100/#78
Carl Kwan
Mark R. Greenstreet
2018
Convex Functions in ACL2(r)
Proceedings 15th International Workshop on the ACL2 Theorem Prover and its Applications, Austin, Texas, USA, November 5-6, 2018
this volume of EPTCS
Open Publishing Association
Serge Lang
2002
Algebra
3rd
Graduate Texts in Mathematics 211
Springer-Verlag New York
10.1007/978-1-4613-0041-0
Peter A. Loeb
Manfred P. H. Wolff
2015
Nonstandard Analysis for the Working Mathematician
2nd
Springer Netherlands
10.1007/978-94-017-7327-0
Jean-Marie Madiot
Formalizing 100 theorems in Coq
Online
https://madiot.fr/coq100/#78
Marco Maggesi
2018
A Formalization of Metric Spaces in HOL Light
Journal of Automated Reasoning
60
2
237–254
10.1007/s10817-017-9412-x
Yan Peng
Mark Greenstreet
2015
Integrating SMT with Theorem Proving for Analog/Mixed-Signal Circuit Verification
Klaus Havelund
Gerard Holzmann
Rajeev Joshi
NASA Formal Methods
Springer International Publishing
Cham
310–326
10.1007/978-3-319-17524-9_22
Yan Peng
Mark R. Greenstreet
2015
Extending ACL2 with SMT Solvers
Proceedings Thirteenth International Workshop on the ACL2 Theorem Prover and Its Applications, Austin, Texas, USA, 1-2 October 2015.
61–77
10.4204/EPTCS.192.6
Frigyes Riesz
Bela Sz.-Nagy
1990
Functional Analysis
Dover Publications
Abraham Robinson
1966
Non-Standard Analysis
North-Holland Publishing Company
Steven Roman
2008
Advanced Linear Algebra
3rd
Graduate Texts in Mathematics 135
Springer-Verlag New York
10.1007/978-0-387-72831-5
Walter Rudin
1976
Principles of Mathematical Analysis
3rd
International Series in Pure and Applied Mathematics
McGraw-Hill
Georgi E. Shilov
1977
Linear Algebra
Dover Publications
J. Michael Steele
2004
The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
Cambridge University Press
10.1017/CBO9780511817106
Jasper Stein
2001
Documentation for the formalization of Linerar Agebra
Online
http://www.cs.ru.nl/~jasper/
Freek Wiedijk
Formalizing 100 Theorems
Online
http://www.cs.ru.nl/~freek/100
Hui-Hua Wu
Shanhe Wu
2009
Various proofs of the Cauchy-Schwarz inequality
Octogon Mathematical Magazine
17
1
221–229