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    Rewriting, Computation and Proof

    Posted By: AvaxGenius
    Rewriting, Computation and Proof

    Rewriting, Computation and Proof: Essays Dedicated to Jean-Pierre Jouannaud on the Occasion of his 60th Birthday by Hubert Comon-Lundh, Claude Kirchner, Hélène Kirchner
    English | PDF (True) | 2007 | 287 Pages | ISBN : 3540731466 | 5.7 MB

    Jean-Pierre Jouannaud has deeply influenced, and is still influencing, research in Informatics, through the many important results he has produced in various research fields and through the generations of scholars he has educated. He has played a leading role in field of rewriting and its technology, advancing the research areas of unification, rewriting and completion modulo, conditional rewriting, termination proofs, modular properties, and automated proofs by induction in rewrite theories. Following his strong interest for algebraic specification languages and their efficient implementation, Jean-Pierre Jouannaud has contributed to the design, semantics and implementation of OBJ2 and has recently augmented the Maude rewriting logic system with an essential feature: membership equational logic. He was a member of the CNU (National University Council) and a member of the CNRS national committee. He is now heading with great success the computer science laboratory at the Ecole Polytechnique thus showing his exceptional qualities as a research team manager and supervisor of students.

    Abstraction, Refinement and Proof for Probabilistic Systems (Repost)

    Posted By: AvaxGenius
    Abstraction, Refinement and Proof for Probabilistic Systems (Repost)

    Abstraction, Refinement and Proof for Probabilistic Systems by Annabelle McIver , Carroll Morgan
    English | PDF | 2005 | 394 Pages | ISBN : 0387401156 | 4.4 MB

    Probabilistic techniques are increasingly being employed in computer programs and systems because they can increase efficiency in sequential algorithms, enable otherwise nonfunctional distribution applications, and allow quantification of risk and safety in general. This makes operational models of how they work, and logics for reasoning about them, extremely important.

    The Dynamics of Judicial Proof: Computation, Logic, and Common Sense

    Posted By: AvaxGenius
    The Dynamics of Judicial Proof: Computation, Logic, and Common Sense

    The Dynamics of Judicial Proof: Computation, Logic, and Common Sense by Marilyn MacCrimmon, Peter Tillers
    English | PDF | 2002 | 491 Pages | ISBN : 3790814598 | 50.4 MB

    Fact finding in judicial proceedings is a dynamic process. This collection of papers considers whether computational methods or other formal logical methods developed in disciplines such as artificial intelligence, decision theory, and probability theory can facilitate the study and management of dynamic evidentiary and inferential processes in litigation. The papers gathered here have several epicenters, including (i) the dynamics of judicial proof, (ii) the relationship between artificial intelligence or formal analysis and "common sense," (iii) the logic of factual inference, including (a) the relationship between causality and inference and (b) the relationship between language and factual inference, (iv) the logic of discovery, including the role of abduction and serendipity in the process of investigation and proof of factual matters, and (v) the relationship between decision and inference.

    The Four-Color Theorem: History, Topological Foundations, and Idea of Proof

    Posted By: AvaxGenius
    The Four-Color Theorem: History, Topological Foundations, and Idea of Proof

    The Four-Color Theorem: History, Topological Foundations, and Idea of Proof by Rudolf Fritsch , Gerda Fritsch
    English | PDF | 1998 | 269 Pages | ISBN : 0387984976 | 23.1 MB

    During the university reform of the 1970s, the classical Faculty of Science of the venerable Ludwig-Maximilians-Universitat in Munich was divided into five smaller faculties. One was for mathematics, the others for physics, chemistry and pharmaceutics, biology, and the earth sciences. Nevertheless, in order to maintain an exchange of ideas between the various disciplines and so as not to permit the complete undermining of the original notion of "universitas,,,l the Carl-Friedrich-von-Siemens Foundation periodically invites the pro­ fessors from the former Faculty of Science to a luncheon gathering. These are working luncheons during which recent developments in the various disciplines are presented by means of short talks. The motivation for such talks does not come, in the majority of cases, from the respective subject itself, but from another discipline that is loosely affiliated with it. In this way, the controversy over the modern methods used in the proof of the Four-Color Theorem had also spread to disciplines outside of mathematics. I, as a trained algebraic topologist, was asked to comment on this. Naturally, I was acquainted with the Four-Color 1 A Latin word meaning the whole of something, a collective entirety. Vll viii Preface Problem but, up to that point, had never intensively studied it. As an outsider,2 I dove into the material, not so much to achieve any scientific progress with it but to make this already achieved objective more understandable.

    Galileo’s Logic of Discovery and Proof

    Posted By: AvaxGenius
    Galileo’s Logic of Discovery and Proof

    Galileo’s Logic of Discovery and Proof: The Background, Content, and Use of His Appropriated Treatises on Aristotle’s Posterior Analytics by William A. Wallace
    English | PDF | 1992 | 350 Pages | ISBN : 0792315774 | 34.8 MB

    This volume is presented as a companion study to my translation of Galileo's MS 27, Galileo's Logical Treatises, which contains Galileo's appropriated questions on Aristotle's Posterior Analytics - a work only recently transcribed from the Latin autograph. Its purpose is to acquaint an English-reading audience with the teaching in those treatises. This is basically a sixteenth-century logic of discovery and of proof about which little is known in the present day, yet one that arguably guided the most significant research program of the seventeenth century. Despite its historical and systematic importance, the teaching is difficult to explain to the modern reader. Part of the problem stems from the fragmentary nature of the manuscript in which it is preserved, part from the contents of the teaching itself, which requires a considerable propadeutic for its comprehension. A word of explanation is thus required to set out the structure of the volume and to detail the editorial decisions that underlie its organization. Two major manuscript studies have advanced the cause of scholarship on Galileo within the past two decades. The first relates to Galileo's experimental activity at Padua prior to his discoveries with the telescope that led to the publication of his Sidereus nuncius in 1610. Much of this activity has been uncovered by Stillman Drake in analyses of manuscript fragments associated with the composition of Galileo's Two New Sciences, fragments now bound in a codex identified as MS 72 in the collection of Galileiana at the Biblioteca Nazionale Centrale in Florence.

    Lectures on Proof Verification and Approximation Algorithms

    Posted By: AvaxGenius
    Lectures on Proof Verification and Approximation Algorithms

    Lectures on Proof Verification and Approximation Algorithms by Ernst W. Mayr, Hans Jürgen Prömel, Angelika Steger
    English | PDF | 1998 | 51 Pages | ISBN : 3540642013 | 18.6 MB

    During the last few years, we have seen quite spectacular progress in the area of approximation algorithms: for several fundamental optimization problems we now actually know matching upper and lower bounds for their approximability. This textbook-like tutorial is a coherent and essentially self-contained presentation of the enormous recent progress facilitated by the interplay between the theory of probabilistically checkable proofs and aproximation algorithms. The basic concepts, methods, and results are presented in a unified way to provide a smooth introduction for newcomers. These lectures are particularly useful for advanced courses or reading groups on the topic.

    Proof Theory

    Posted By: AvaxGenius
    Proof Theory

    Proof Theory by Kurt Schütte
    English | PDF | 1977 | 309 Pages | ISBN : 364266475X | 21.3 MB

    This book was originally intended to be the second edition of the book "Beweis­ theorie" (Grundlehren der mathematischen Wissenschaften, Band 103, Springer 1960), but in fact has been completely rewritten. As well as classical predicate logic we also treat intuitionistic predicate logic. The sentential calculus properties of classical formal and semiformal systems are treated using positive and negative parts of formulas as in the book "Beweistheorie". In a similar way we use right and left parts of formulas for intuitionistic predicate logic. We introduce the theory of functionals of finite types in order to present the Gi:idel interpretation of pure number theory. Instead of ramified type theory, type-free logic and the associated formalization of parts of analysis which we treated in the book "Beweistheorie", we have developed simple classical type theory and predicative analysis in a systematic way. Finally we have given consistency proofs for systems of lI~-analysis following the work of G. Takeuti. In order to do this we have introduced a constni'ctive system of notation for ordinals which goes far beyond the notation system in "Beweistheorie".

    Paradoxes Between Truth and Proof

    Posted By: AvaxGenius
    Paradoxes Between Truth and Proof

    Paradoxes Between Truth and Proof by Mattia Petrolo, Giorgio Venturi
    English | PDF EPUB (True) | 2024 | 301 Pages | ISBN : 3031745264 | 14.6 MB

    This book is a collection of essays that offer original logical and philosophical investigations into the century-long endeavor to understand paradoxes. It bridges the gap between the two most prominent traditions in the analysis of paradoxes: the truth-theoretic and proof-theoretic approaches. The truth-theoretic tradition stems from Alfred Tarski's solution to the semantic paradoxes, while the proof-theoretic tradition dates back to Dag Prawitz's analysis of set-theoretic paradoxes in terms of structural proof theory. Rather than viewing these traditions as competing perspectives, this volume advocates for the idea that a deeper understanding of paradoxes requires insights from both truth-theoretic and proof-theoretic conceptions of language and meaning. Although the collection does not aim to be exhaustive, it seeks to highlight the vast scope of the subject and its deep connections to various fields of inquiry. The essays are organized into four sections: the first focuses on methodology, the second and third examine paradoxes through the conventional lenses of logical investigation—semantics and syntax—, and the fourth presents a selection of paradoxes that extend beyond the interplay between syntax and semantics, exploring other dimensions of human rationality.

    Objectivity, Realism, and Proof: FilMat Studies in the Philosophy of Mathematics (Repost)

    Posted By: AvaxGenius
    Objectivity, Realism, and Proof: FilMat Studies in the Philosophy of Mathematics (Repost)

    Objectivity, Realism, and Proof: FilMat Studies in the Philosophy of Mathematics by Francesca Boccuni
    English | EPUB (True) | 2016 | 370 Pages | ISBN : 3319316427 | 2.7 MB

    This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge.

    Mathematical Reasoning: Writing and Proof Version 2.1

    Posted By: AvaxGenius
    Mathematical Reasoning: Writing and Proof Version 2.1

    Mathematical Reasoning: Writing and Proof Version 2.1 by Ted Sundstrom
    English | PDF | 2014 (Updated In November 8, 2022) | 605 Pages | ISBN : 1500143413 | 5.62 MB

    Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.

    Roads to Infinity: The Mathematics of Truth and Proof

    Posted By: roxul
    Roads to Infinity: The Mathematics of Truth and Proof

    John C. Stillwell, "Roads to Infinity: The Mathematics of Truth and Proof "
    English | ISBN: 1568814666 | 2010 | 250 pages | PDF | 1320 KB

    Marcus Barney - Recession Proof X

    Posted By: envasel
    Marcus Barney - Recession Proof X

    Marcus Barney - Recession Proof X
    .TS | Video: h264, yuv420p, 1152x720 | Audio: aac, 44100 Hz | Duration: 85h 57min | 49.4 GB
    Genre: eLearning | Language: English

    Entrepreneurship in no longer a luxury…. it's a NECESSITY! As a community, we have to change the way we have been trained to operate financially.

    Understanding Proof: Explanation, Examples and Solutions of Mathematical Proof

    Posted By: yoyoloit
    Understanding Proof: Explanation, Examples and Solutions of Mathematical Proof

    Understanding Proof
    by Hall, Ed; Bennison, Tom

    English | 2021 | ISBN: 1913565327 | 249 pages | True PDF | 7.63 MB

    The Proof and the Pudding: What Mathematicians, Cooks, and You Have in Common

    Posted By: roxul
    The Proof and the Pudding: What Mathematicians, Cooks, and You Have in Common

    Jim Henle, "The Proof and the Pudding: What Mathematicians, Cooks, and You Have in Common"
    English | ISBN: 069116486X | 2015 | 176 pages | AZW3 | 14 MB

    Proof and Knowledge in Mathematics

    Posted By: arundhati
    Proof and Knowledge in Mathematics

    Michael Detlefsen, "Proof and Knowledge in Mathematics"
    English | ISBN: 0415068053 | | 256 pages | PDF | 16 MB