Proof Logic And Formalization PDF Download
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Author | : Michael Detlefsen |
Publisher | : Routledge |
Total Pages | : 391 |
Release | : 2005-07-08 |
Genre | : Philosophy |
ISBN | : 1134975279 |
Download Proof, Logic and Formalization Book in PDF, ePub and Kindle
The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures working within the philosophy of mathematics, is a response to the challenge of understanding the nature and role of the proof.
Author | : Michael Detlefsen |
Publisher | : Routledge |
Total Pages | : 251 |
Release | : 2005-07-08 |
Genre | : Mathematics |
ISBN | : 1134975287 |
Download Proof, Logic and Formalization Book in PDF, ePub and Kindle
A collection of essays from distinguished contributors looking at why it is that mathematical proof is given precedence over other forms of mathematical justification.
Author | : John Harrison |
Publisher | : Cambridge University Press |
Total Pages | : 703 |
Release | : 2009-03-12 |
Genre | : Computers |
ISBN | : 0521899575 |
Download Handbook of Practical Logic and Automated Reasoning Book in PDF, ePub and Kindle
A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.
Author | : |
Publisher | : Univalent Foundations |
Total Pages | : 484 |
Release | : |
Genre | : |
ISBN | : |
Download Homotopy Type Theory: Univalent Foundations of Mathematics Book in PDF, ePub and Kindle
Author | : Gilles Dowek |
Publisher | : Springer Science & Business Media |
Total Pages | : 161 |
Release | : 2011-01-11 |
Genre | : Computers |
ISBN | : 0857291211 |
Download Proofs and Algorithms Book in PDF, ePub and Kindle
Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.
Author | : Alfred Tarski |
Publisher | : American Mathematical Soc. |
Total Pages | : 342 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 0821810413 |
Download A Formalization of Set Theory without Variables Book in PDF, ePub and Kindle
Culminates nearly half a century of the late Alfred Tarski's foundational studies in logic, mathematics, and the philosophy of science. This work shows that set theory and number theory can be developed within the framework of a new, different and simple equational formalism, closely related to the formalism of the theory of relation algebras.
Author | : Lawrence C. Paulson |
Publisher | : Springer Science & Business Media |
Total Pages | : 348 |
Release | : 1994-07-28 |
Genre | : Computers |
ISBN | : 9783540582441 |
Download Isabelle Book in PDF, ePub and Kindle
This volume presents the proceedings of the First International Static Analysis Symposium (SAS '94), held in Namur, Belgium in September 1994. The proceedings comprise 25 full refereed papers selected from 70 submissions as well as four invited contributions by Charles Consel, Saumya K. Debray, Thomas W. Getzinger, and Nicolas Halbwachs. The papers address static analysis aspects for various programming paradigms and cover the following topics: generic algorithms for fixpoint computations; program optimization, transformation and verification; strictness-related analyses; type-based analyses and type inference; dependency analyses and abstract domain construction.
Author | : A. S. Troelstra |
Publisher | : Cambridge University Press |
Total Pages | : 436 |
Release | : 2000-07-27 |
Genre | : Computers |
ISBN | : 9780521779111 |
Download Basic Proof Theory Book in PDF, ePub and Kindle
This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.
Author | : Jacob T. Schwartz |
Publisher | : Springer Science & Business Media |
Total Pages | : 426 |
Release | : 2011-07-16 |
Genre | : Computers |
ISBN | : 0857298089 |
Download Computational Logic and Set Theory Book in PDF, ePub and Kindle
This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.
Author | : Michael Detlefsen |
Publisher | : Routledge |
Total Pages | : 410 |
Release | : 2005-08-18 |
Genre | : Philosophy |
ISBN | : 1134916752 |
Download Proof and Knowledge in Mathematics Book in PDF, ePub and Kindle
These questions arise from any attempt to discover an epistemology for mathematics. This collection of essays considers various questions concerning the nature of justification in mathematics and possible sources of that justification. Among these are the question of whether mathematical justification is a priori or a posteriori in character, whether logical and mathematical differ, and if formalization plays a significant role in mathematical justification,