Building Proofs
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Building Proofs
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Author : Suely Oliveira
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-06-10
Building Proofs written by Suely Oliveira and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-10 with Mathematics categories.
This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level. Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard “moves” in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.
Types For Proofs And Programs
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Author : Stefano Berardi
language : en
Publisher: Springer
Release Date : 2009-06-07
Types For Proofs And Programs written by Stefano Berardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-07 with Computers categories.
These proceedings contain a selection of refereed papers presented at or - lated to the Annual Workshop of the TYPES project (EU coordination action 510996), which was held during March 26–29, 2008 in Turin, Italy. The topic of this workshop, and of all previous workshops of the same project, was f- mal reasoning and computer programming based on type theory: languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certi?ed software, mobile code, formali- tion of mathematics, mathematics education. The workshop was attended by more than 100 researchers and included more than 40 presentations. We also had three invited lectures, from A. Asperti (University of Bologna), G. Dowek (LIX, Ecole polytechnique, France) and J. W. Klop (Vrije Universiteit, A- terdam, The Netherlands). From 27 submitted papers, 19 were selected after a reviewing process. Each submitted paper was reviewed by three referees; the ?nal decisions were made by the editors. This workshop is the last of a series of meetings of the TYPES working group funded by the European Union (IST project 29001, ESPRIT Working Group 21900, ESPRIT BRA 6435).
Types For Proofs And Programs
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Author : Hendrik Pieter Barendregt
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-05-20
Types For Proofs And Programs written by Hendrik Pieter Barendregt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-20 with Computers categories.
This volume contains thoroughly refereed and revised full papers selected from the presentations at the first workshop held under the auspices of the ESPRIT Basic Research Action 6453 Types for Proofs and Programs in Nijmegen, The Netherlands, in May 1993. As the whole ESPRIT BRA 6453, this volume is devoted to the theoretical foundations, design and applications of systems for theory development. Such systems help in designing mathematical axiomatisation, performing computer-aided logical reasoning, and managing databases of mathematical facts; they are also known as proof assistants or proof checkers.
Human Interactive Proofs
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Author : Henry S. Baird
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-12
Human Interactive Proofs written by Henry S. Baird and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-12 with Computers categories.
This book constitutes the refereed proceedings of the Second International Workshop on Human Interactive Proofs, HIP 2005, held in Bethlehem, PA, USA in May 2005. The 9 revised full papers presented were carefully reviewed and selected for presentation. This book is the first archival publication devoted to the new class of security protocols called human interactive proofs. The variant of HIPs being used in e-commerce and Web services today is completely automatic public Turing tests to tell computers and humans apart, CAPTCHAs. The papers in this book are organized in topical sections on CAPTCHAs and performance analysis, HIP architectures, HIP as security systems components.
Tests And Proofs
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Author : Achim Brucker
language : en
Publisher: Springer
Release Date : 2012-05-26
Tests And Proofs written by Achim Brucker and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-26 with Computers categories.
This book constitutes the refereed proceedings of the 6th International Conference on Test and Proofs, TAP 2012, held in Prague, Czech Republic, in May/June 2012, as part of the TOOLS 2012 Federated Conferences. The 9 revised full papers presented together with 2 invited papers, 4 short papers and one tutorial were carefully reviewed and selected from 29 submissions. The papers are devoted to the convergence of tests and proofs for developing novel techniques and application that support engineers in building secure, safe, and reliable systems. Among the topics covered are model-based testing; scenario-based testing; complex data structure generation; and the validation of protocols and libraries.
Metamath A Computer Language For Mathematical Proofs
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Author : Norman Megill
language : en
Publisher: Lulu.com
Release Date : 2019-06-06
Metamath A Computer Language For Mathematical Proofs written by Norman Megill and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-06 with categories.
Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath language is simple and robust, with an almost total absence of hard-wired syntax, and we believe that it provides about the simplest possible framework that allows essentially all of mathematics to be expressed with absolute rigor. While simple, it is also powerful; the Metamath Proof Explorer (MPE) database has over 23,000 proven theorems and is one of the top systems in the "Formalizing 100 Theorems" challenge. This book explains the Metamath language and program, with specific emphasis on the fundamentals of the MPE database.
Machine Proofs In Geometry
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Author : Shang-Ching Chou
language : en
Publisher: World Scientific
Release Date : 1994
Machine Proofs In Geometry written by Shang-Ching Chou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.
Certified Programs And Proofs
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Author : Georges Gonthier
language : en
Publisher: Springer
Release Date : 2013-12-11
Certified Programs And Proofs written by Georges Gonthier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Computers categories.
This book constitutes the refereed proceedings of the Third International Conference on Certified Programs and Proofs, CPP 2013, colocated with APLAS 2013 held in Melbourne, Australia, in December 2013. The 18 revised regular papers presented together with 1 invited lecture were carefully reviewed and selected from 39 submissions. The papers are organized in topical sections on code verification, elegant proofs, proof libraries, certified transformations and security.
Certified Programs And Proofs
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Author : Chris Hawblitzel
language : en
Publisher: Springer
Release Date : 2012-11-08
Certified Programs And Proofs written by Chris Hawblitzel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-08 with Computers categories.
This book constitutes the refereed proceedings of the Second International Conference on Certified Programs and Proofs, CPP 2012, held in Kyoto, Japan, in December 2012. The 18 revised regular papers presented were carefully reviewed and selected from 37 submissions. They deal with those topics in computer science and mathematics in which certification via formal techniques is crucial.
Alasdair Urquhart On Nonclassical And Algebraic Logic And Complexity Of Proofs
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Author : Ivo Düntsch
language : en
Publisher: Springer Nature
Release Date : 2021-09-24
Alasdair Urquhart On Nonclassical And Algebraic Logic And Complexity Of Proofs written by Ivo Düntsch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-24 with Philosophy categories.
This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.