Type Theory And Formal Proof
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Type Theory And Formal Proof
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Author : Rob Nederpelt
language : en
Publisher: Cambridge University Press
Release Date : 2014-11-06
Type Theory And Formal Proof written by Rob Nederpelt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-06 with Computers categories.
A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.
Structural Proof Theory
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Author : Sara Negri
language : en
Publisher: Cambridge University Press
Release Date : 2008-07-10
Structural Proof Theory written by Sara Negri and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-10 with Mathematics categories.
A concise introduction to structural proof theory, a branch of logic studying the general structure of logical and mathematical proofs.
Types For Proofs And Programs
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Author : Thorsten Altenkirch
language : en
Publisher: Springer
Release Date : 2003-06-29
Types For Proofs And Programs written by Thorsten Altenkirch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-29 with Computers categories.
This book constitutes the strictly refereed post-workshop proceedings of the International Workshop on Types for Proofs and Programs, TYPES '98, held under the auspices of the ESPRIT Working Group 21900. The 14 revised full papers presented went through a thorough process of reviewing and revision and were selected from a total of 25 candidate papers. All current aspects of type theory and type systems and their relation to proof theory are addressed.
Formal Methods Teaching
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Author : Brijesh Dongol
language : en
Publisher: Springer Nature
Release Date : 2019-09-23
Formal Methods Teaching written by Brijesh Dongol and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-23 with Mathematics categories.
This book constitutes the refereed proceedings of the Third International Workshop and Tutorial, FMTea 2019, Held as Part of the Third World Congress on Formal Methods, FM 2019, Porto, Portugal, October 2019. The 14 full papers presented together with 3 abstract papers were carefully reviewed and selected from 22 submissions. The papers are organized in topical sections named: Tutorial lectures; Teaching Program Verification; Teaching Program Development; and Effective Teaching Techniques.
Types For Proofs And Programs
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Author : Jean-Christophe Filliatre
language : en
Publisher: Springer
Release Date : 2006-01-20
Types For Proofs And Programs written by Jean-Christophe Filliatre and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Computers categories.
The 17 revised full papers presented here cover all current issues of formal reasoning and computer programming based on type theory are addressed; in particular languages and computerised tools for reasoning, and applications in several domains such as analysis of programming languages, certified software, formalisation of mathematics and mathematics education.
Introduction To Formal Philosophy
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Author : Sven Ove Hansson
language : en
Publisher: Springer
Release Date : 2018-10-24
Introduction To Formal Philosophy written by Sven Ove Hansson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-24 with Philosophy categories.
This Undergraduate Textbook introduces key methods and examines the major areas of philosophy in which formal methods play pivotal roles. Coverage begins with a thorough introduction to formalization and to the advantages and pitfalls of formal methods in philosophy. The ensuing chapters show how to use formal methods in a wide range of areas. Throughout, the contributors clarify the relationships and interdependencies between formal and informal notions and constructions. Their main focus is to show how formal treatments of philosophical problems may help us understand them better. Formal methods can be used to solve problems but also to express new philosophical problems that would never have seen the light of day without the expressive power of the formal apparatus. Formal philosophy merges work in different areas of philosophy as well as logic, mathematics, computer science, linguistics, physics, psychology, biology, economics, political theory, and sociology. This title offers an accessible introduction to this new interdisciplinary research area to a wide academic audience.
Homotopy Type Theory Univalent Foundations Of Mathematics
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Author :
language : en
Publisher: Univalent Foundations
Release Date :
Homotopy Type Theory Univalent Foundations Of Mathematics written by and has been published by Univalent Foundations this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Formal Semantics In Modern Type Theories
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Author : Stergios Chatzikyriakidis
language : en
Publisher: John Wiley & Sons
Release Date : 2021-02-17
Formal Semantics In Modern Type Theories written by Stergios Chatzikyriakidis and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-17 with Language Arts & Disciplines categories.
This book studies formal semantics in modern type theories (MTTsemantics). Compared with simple type theory, MTTs have much richer type structures and provide powerful means for adequate semantic constructions. This offers a serious alternative to the traditional settheoretical foundation for linguistic semantics and opens up a new avenue for developing formal semantics that is both model-theoretic and proof-theoretic, which was not available before the development of MTTsemantics. This book provides a reader-friendly and precise description of MTTs and offers a comprehensive introduction to MTT-semantics. It develops several case studies, such as adjectival modification and copredication, to exemplify the attractiveness of using MTTs for the study of linguistic meaning. It also examines existing proof assistant technology based on MTT-semantics for the verification of semantic constructions and reasoning in natural language. Several advanced topics are also briefly studied, including dependent event types, an application of dependent typing to event semantics.
Simple Type Theory
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Author : William M. Farmer
language : en
Publisher: Springer Nature
Release Date : 2025-04-23
Simple Type Theory written by William M. Farmer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-23 with Computers categories.
This unique textbook, in contrast to a standard logic text, provides the reader with a logic that can be used in practice to express and reason about mathematical ideas. The book is an introduction to simple type theory, a classical higher-order version of predicate logic that extends first-order logic. It presents a practice-oriented logic called Alonzo that is based on Alonzo Church's formulation of simple type theory known as Church's type theory. Unlike traditional predicate logics, Alonzo admits undefined expressions. The book illustrates using Alonzo how simple type theory is suited ideally for reasoning about mathematical structures and constructing libraries of mathematical knowledge. For this second edition, more than 400 additions, corrections, and improvements have been made, including a new chapter on inductive sets and types. Topics and features: !-- [if !supportLists]--· !--[endif]--Offers the first book-length introduction to simple type theory as a predicate logic !-- [if !supportLists]--· !--[endif]--Provides the reader with a logic that is close to mathematical practice !-- [if !supportLists]--· !--[endif]--Includes a module system for building libraries of mathematical knowledge !-- [if !supportLists]--· !--[endif]--Employs two semantics, one for mathematics and one for logic !-- [if !supportLists]--· !--[endif]--Emphasizes the model-theoretic view of predicate logic !-- [if !supportLists]--· !--[endif]--Presents several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooks Aimed at students of mathematics and computing at the graduate or upper-undergraduate level, this book is well suited for mathematicians, computing professionals, engineers, and scientists who need a practical logic for expressing and reasoning about mathematical ideas. William M. Farmer is a Professor in the Department of Computing and Software at McMaster University in Hamilton, Ontario, Canada.
Research And Practical Issues In Databases Proceedings Of The 3rd Australian Database Conference
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Author : B Srinivasan
language : en
Publisher: World Scientific
Release Date : 1992-01-08
Research And Practical Issues In Databases Proceedings Of The 3rd Australian Database Conference written by B Srinivasan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-08 with categories.
This volume of proceedings contains original papers of good technical quality which present recent developments in databases and knowledge based systems and their applications to practical problems. Topics covered include databases and temporal databases, object-oriented modelling and object-oriented databases, deductive databases, distributed database and information systems, database design issues and intelligent databases. The papers reflect the importance of databases and the work being done on them.