Category: Logic

  • Logic for Programming, Artificial Intelligence, and by Martin Davis,Ansgar Fehnker,Annabelle McIver,Andrei Voronkov

    By Martin Davis,Ansgar Fehnker,Annabelle McIver,Andrei Voronkov

    This e-book constitutes the complaints of the 20th
    International convention on common sense for Programming, synthetic Intelligence, and
    Reasoning, LPAR-20, held in November 2015, in Suva, Fiji.

    The forty three general papers provided including 1 invited
    talk incorporated during this quantity have been conscientiously reviewed and chosen from 92
    submissions. The sequence of foreign meetings on common sense for Programming,
    Artificial Intelligence and Reasoning, LPAR, is a discussion board the place, 12 months after year,
    some of the main popular researchers within the parts of good judgment, automated
    reasoning, computational good judgment, programming languages and their applications
    come to give state-of-the-art effects, to debate advances in those fields, and
    to trade principles in a scientifically rising a part of the world.

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  • Mathematics and the Imagination (Dover Books on Mathematics) by Edward Kasner,James Newman

    By Edward Kasner,James Newman

    You don’t need to love math to take pleasure in a hand of playing cards, an evening on the on line casino, or a puzzle. yet your excitement and prowess at video games, playing, and different numerically comparable goals may be heightened with this pleasing quantity, during which the authors provide a desirable view of a few of the lesser-known and extra resourceful facets of mathematics.
    A short and breezy clarification of the recent language of arithmetic precedes a smorgasbord of such thought-provoking topics because the googolplex (the greatest certain quantity somebody has but afflicted to conceive of); diversified geometries — airplane and fancy; well-known puzzles that made mathematical heritage; and tantalizing paradoxes. Gamblers obtain reasonable caution at the legislation of likelihood; a glance at rubber-sheet geometry twists circles into loops with out sacrificing sure vital houses; and an exploration of the maths of swap and progress exhibits how calculus, between its different makes use of, is helping hint the trail of falling bombs.
    Written with wit and readability for the clever reader who has taken highschool and maybe university math, this quantity deftly progresses from simple math to calculus and non-Euclidean geometry. It “lives as much as its identify in each approach [and] may possibly good were simply terrifying, while it proves to be either fascinating and exciting." — Saturday overview of Literature.
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  • Recent Developments in the Philosophy of Science: EPSA13 by Uskali Mäki,Ioannis Votsis,Stéphanie Ruphy,Gerhard Schurz

    By Uskali Mäki,Ioannis Votsis,Stéphanie Ruphy,Gerhard Schurz

    This quantity showcases the easiest of contemporary learn within the philosophy of technological know-how. A compilation of papers provided on the EPSA thirteen, it explores a extensive distribution of issues akin to causation, truthlikeness, medical illustration, gender-specific medication,  laws of nature, technological know-how investment and the knowledge of crowds.

    Papers are organised into headings which shape the constitution of the publication. Readers will locate that it covers a number of significant fields in the philosophy of technological know-how, from normal philosophy of technology to the extra particular philosophy of physics, philosophy of chemistry, philosophy of the lifestyles sciences, philosophy of psychology, and philosophy of the social sciences and arts, among others.

    This quantity offers a great review of the cutting-edge within the philosophy of technology, as practiced in several ecu nations and past. ​It will entice researchers with an curiosity within the philosophical underpinnings in their personal self-discipline, and to philosophers who desire to discover the most recent paintings at the topics explored.

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  • Journey into Mathematics: An Introduction to Proofs (Dover by Joseph J. Rotman

    By Joseph J. Rotman

    Students the best way to learn and write proofs through truly interpreting and writing them, asserts writer Joseph J. Rotman, including that in basic terms reading approximately arithmetic is not any alternative for doing arithmetic. as well as instructing the right way to interpret and build proofs, Professor Rotman's introductory textual content imparts different worthwhile mathematical instruments and illustrates the intrinsic good looks and curiosity of mathematics.
    Journey into arithmetic offers a coherent tale, with interesting old and etymological asides. The three-part remedy starts off with the mechanics of writing proofs, together with a few very basic mathematics--induction, binomial coefficients, and polygonal areas--that enable scholars to target the proofs with no the distraction of soaking up unexpected principles whilst. when they have got a few geometric event with the easier classical proposal of restrict, they continue to issues of the realm and circumference of circles. The textual content concludes with examinations of advanced numbers and their program, through De Moivre's theorem, to genuine numbers.
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  • Mathematische Logik (Mathematik Kompakt) (German Edition) by Martin Ziegler

    By Martin Ziegler

    Dieses Buch bietet eine Einführung in die verschiedenen Aspekte der mathematischen Logik, die jeder Mathematiker und Informatiker kennen sollte. Nach dem Prädikatenkalkül und seinen Anwendungen auf die Anfänge der künstlichen Intelligenz wird die Mengenlehre axiomatisch dargestellt. Im dritten und vierten Teil werden die notwendigen Grundbegriffe der Berechenbarkeitstheorie und die Hierarchie der in den natürlichen Zahlen definierbaren Teilmengen eingeführt, um schließlich die Gödelschen Unvollständigkeitssätze zu beweisen. Durch seinen klaren Stil und die eingefügten Übungsaufgaben ist dieses Buch eine konzise Einführung in diese Grundlagen der gesamten Mathematik.
    Für die zweite Auflage wurde an einigen Stellen wurde die Darstellung verbessert und eine Reihe von Fehlern,insbesondere in den Aufgaben, korrigiert.
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  • NASA Formal Methods: 8th International Symposium, NFM 2016, by Sanjai Rayadurgam,Oksana Tkachuk

    By Sanjai Rayadurgam,Oksana Tkachuk

    This booklet constitutes the lawsuits of the eighth foreign Symposium on NASA Formal equipment, NFM 2016, held in Minneapolis, MN, united states, in June 2016.
    the nineteen complete and 10 brief papers provided during this quantity have been conscientiously reviewed and chosen from 70 submissions. The papers have been prepared in topical sections named: necessities and architectures; checking out and run-time enforcement; theorem proving and proofs; software of formal equipment; code new release and synthesis; version checking and verification; and correctness and certification. 

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  • Mathematical Logic (Oxford Texts in Logic) by Ian Chiswell,Wilfrid Hodges

    By Ian Chiswell,Wilfrid Hodges

    Assuming no prior learn in good judgment, this casual but rigorous textual content covers the cloth of a regular undergraduate first direction in mathematical common sense, utilizing average deduction and prime as much as the completeness theorem for first-order good judgment. At each one level of the textual content, the reader is given an instinct according to typical mathematical perform, that is as a result constructed with fresh formal arithmetic. along the sensible examples, readers examine what can and cannot be calculated; for instance the correctness of a derivation proving a given sequent may be established automatically, yet there isn't any basic mechanical attempt for the life of a derivation proving the given sequent. The undecidability effects are proved carefully in an not obligatory ultimate bankruptcy, assuming Matiyasevich's theorem characterising the computably enumerable family. Rigorous proofs of the adequacy and completeness proofs of the correct logics are supplied, with cautious recognition to the languages concerned. Optinal sections talk about the class of mathematical buildings by means of first-order theories; the mandatory concept of cardinality is built from scratch. through the booklet there are notes on ancient features of the cloth, and connections with linguistics and laptop technological know-how, and the dialogue of syntax and semantics is motivated via smooth linguistic ways. uncomplicated issues in fresh cognitive technology experiences of tangible human reasoning also are brought. together with broad routines and chosen ideas, this article is perfect for college kids in good judgment, arithmetic, philosophy, and computing device science.
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  • A Mathematical Introduction to Logic by Herbert Enderton,Herbert B. Enderton

    By Herbert Enderton,Herbert B. Enderton

    A Mathematical creation to good judgment, moment Edition, deals elevated flexibility with subject insurance, making an allowance for selection in the way to make the most of the textbook in a path. the writer has made this variation extra obtainable to higher meet the wishes of contemporary undergraduate arithmetic and philosophy scholars. it really is meant for the reader who has now not studied good judgment formerly, yet who has a few adventure in mathematical reasoning. fabric is gifted on desktop technological know-how matters similar to computational complexity and database queries, with extra assurance of introductory fabric reminiscent of sets.

    * elevated flexibility of the textual content, permitting teachers extra selection in how they use the textbook in classes.
    * lowered mathematical rigour to slot the wishes of undergraduate students

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  • Formal Methods and Software Engineering: 17th International by Michael Butler,Sylvain Conchon,Fatiha Zaïdi

    By Michael Butler,Sylvain Conchon,Fatiha Zaïdi

    This booklet constitutes the refereed complaints of the seventeenth overseas
    Conference on Formal Engineering equipment, ICFEM 2015, held in Paris,
    France, in November 2015. The 27 revised complete papers awarded have been
    carefully reviewed and chosen from eighty two submissions. The papers conceal a large
    range of themes within the zone of formal equipment and software program engineering and are
    devoted to advancing the cutting-edge of using formal equipment in
    practice. They concentration particularly on mixtures of conceptual and
    methodological facets with their formal origin and power support.
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  • Knowledge Engineering and Knowledge Management: EKAW 2016 by Paolo Ciancarini,Francesco Poggi,Matthew Horridge,Jun

    By Paolo Ciancarini,Francesco Poggi,Matthew Horridge,Jun Zhao,Tudor Groza,Mari Carmen Suarez-Figueroa,Mathieu d'Aquin,Valentina Presutti

    This e-book comprises the simplest chosen papers of 2 satellite tv for pc occasions held on the 20th International convention on wisdom Engineering and data administration, EKAW 2016, in November 2016 in Bologna, Italy: the second one overseas Workshop on academic wisdom administration, EKM 2016, and the 1st Workshop: Detection, illustration and administration of inspiration waft in associated Open info, Drift-an-LOD 2016. 

    The 6 revised complete papers incorporated during this quantity have been conscientiously reviewed and chosen from the thirteen complete papers that have been authorized for presentation on the convention from the preliminary eighty two submissions.  This quantity additionally comprises the 37 permitted contributions for the EKAW 2016 tutorials, demo and poster periods, and the doctoral consortium. The designated concentration of this year's EKAW was once "evolving knowledge", which concerns all points of the administration and acquisition of data representations of evolving, contextual, and native versions. This contains switch administration, pattern detection, version evolution, streaming information and move reasoning, event processing, time-and house established types, contextual and native knowledge representations with a special emphasis at the evolvability and localization of information and the proper utilization of those limits.
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