Automated Theory Formation In Pure Mathematics

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Automated Theory Formation in Pure Mathematics

Author : Simon Colton
Publisher : Springer Science & Business Media
ISBN 13 : 1447101472
Total Pages : 384 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Automated Theory Formation in Pure Mathematics by : Simon Colton

Download or read book Automated Theory Formation in Pure Mathematics written by Simon Colton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, Artificial Intelligence researchers have largely focused their efforts on solving specific problems, with less emphasis on 'the big picture' - automating large scale tasks which require human-level intelligence to undertake. The subject of this book, automated theory formation in mathematics, is such a large scale task. Automated theory formation requires the invention of new concepts, the calculating of examples, the making of conjectures and the proving of theorems. This book, representing four years of PhD work by Dr. Simon Colton demonstrates how theory formation can be automated. Building on over 20 years of research into constructing an automated mathematician carried out in Professor Alan Bundy's mathematical reasoning group in Edinburgh, Dr. Colton has implemented the HR system as a solution to the problem of forming theories by computer. HR uses various pieces of mathematical software, including automated theorem provers, model generators and databases, to build a theory from the bare minimum of information - the axioms of a domain. The main application of this work has been mathematical discovery, and HR has had many successes. In particular, it has invented 20 new types of number of sufficient interest to be accepted into the Encyclopaedia of Integer Sequences, a repository of over 60,000 sequences contributed by many (human) mathematicians.

Automated Reasoning

Author : Stéphane Demri
Publisher : Springer
ISBN 13 : 3319085875
Total Pages : 528 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Automated Reasoning by : Stéphane Demri

Download or read book Automated Reasoning written by Stéphane Demri and published by Springer. This book was released on 2014-07-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Joint Conference on Automated Reasoning, IJCAR 2014, held as part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. IJCAR 2014 was a merger of three leading events in automated reasoning, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems) and TABLEAUX (International Conference on Automated Reasoning with Analytic Tableaux and Related Methods). The 26 revised full research papers and 11 system descriptions presented together with 3 invited talks were carefully reviewed and selected from 83 submissions. The papers have been organized in topical sections on HOL, SAT and QBF, SMT, equational reasoning, verification, proof theory, modal and temporal reasoning, SMT and SAT, modal logic, complexity, description logics and knowledge representation and reasoning.

Automated Reasoning

Author : David Basin
Publisher : Springer
ISBN 13 : 3540259848
Total Pages : 509 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Automated Reasoning by : David Basin

Download or read book Automated Reasoning written by David Basin and published by Springer. This book was released on 2004-06-08 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 2nd International Joint C- ference on Automated Reasoning (IJCAR 2004) held July 4–8, 2004 in Cork, Ireland. IJCAR 2004 continued the tradition established at the ?rst IJCAR in Siena,Italyin2001,whichbroughttogetherdi?erentresearchcommunitieswo- ing in automated reasoning. The current IJCAR is the fusion of the following conferences: CADE: The International Conference on Automated Deduction, CALCULEMUS: Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, FroCoS: Workshop on Frontiers of Combining Systems, FTP: The International Workshop on First-Order Theorem Proving, and TABLEAUX: The International Conference on Automated Reasoning with Analytic Tableaux and Related Methods. There were 74 research papers submitted to IJCAR as well as 12 system descriptions. After extensive reviewing, 26 research papers and 6 system - scriptions were accepted for presentation at the conference and publication in this volume. In addition, this volume also contains papers from the three invited speakers and a description of the CADE ATP system competition. We would like to acknowledge the enormous amount of work put in by the members of the program committee, the various organizing and steering c- mittees, the IJCAR o?cials, the invited speakers, and the additional referees named on the following pages. We would also like to thank Achim Brucker and Barbara Geiser for their help in producing this volume.

Computational Discovery of Scientific Knowledge

Author : Saso Dzeroski
Publisher : Springer Science & Business Media
ISBN 13 : 354073919X
Total Pages : 333 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computational Discovery of Scientific Knowledge by : Saso Dzeroski

Download or read book Computational Discovery of Scientific Knowledge written by Saso Dzeroski and published by Springer Science & Business Media. This book was released on 2007-08-07 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides an introduction to computational approaches to the discovery of communicable scientific knowledge and details recent advances. It is partly inspired by the contributions of the International Symposium on Computational Discovery of Communicable Knowledge, held in Stanford, CA, USA in March 2001, a number of additional invited contributions provide coverage of recent research in computational discovery.

Artificial Intelligence, Automated Reasoning, and Symbolic Computation

Author : Jacques Calmet
Publisher : Springer
ISBN 13 : 3540454705
Total Pages : 355 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Artificial Intelligence, Automated Reasoning, and Symbolic Computation by : Jacques Calmet

Download or read book Artificial Intelligence, Automated Reasoning, and Symbolic Computation written by Jacques Calmet and published by Springer. This book was released on 2003-08-02 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: AISC 2002, the 6th international conference on Arti?cial Intelligence and S- bolic Computation, and Calculemus 2002, the 10th symposium on the Integ- tion of Symbolic Computation and Mechanized Reasoning, were held jointly in Marseille, France on July 1-5, 2002. This event was organized by the three universities in Marseille together with the LSIS (Laboratoire des Sciences de l'Information et des Syst` emes). AISC 2002 was the latest in a series of specialized conferences founded by John Campbell and Jacques Calmet with the initial title "Arti?cial Intelligence and Symbolic Mathematical Computation" (AISMC) and later denoted "Art- cial Intelligence and Symbolic Computation" (AISC). The scope is well de?ned by its successive titles. AISMC-1 (1992), AISMC-2 (1994), AISMC-3 (1996), AISC'98, and AISC 2000 took place in Karlsruhe, Cambridge, Steyr, Plattsburgh (NY), and Madrid respectively. The proceedings were published by Springer-Verlag as LNCS 737, LNCS 958, LNCS 1138, LNAI 1476, and LNAI 1930 respectively. Calculemus 2002 was the 10th symposium in a series which started with three meetings in 1996, two meetings in 1997, and then turned into a yearly event in 1998. Since then, it has become a tradition to hold the meeting jointly with an event in either symbolic computation or automated deduction. Both events share common interests in looking at Symbolic Computation, each from a di?erent point of view: Arti?cial Intelligence in the more general case of AISC and Automated Deduction in the more speci?c case of Calculemus.

Artificial Mathematical Intelligence

Author : Danny A. J. Gómez Ramírez
Publisher : Springer Nature
ISBN 13 : 3030502732
Total Pages : 268 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Artificial Mathematical Intelligence by : Danny A. J. Gómez Ramírez

Download or read book Artificial Mathematical Intelligence written by Danny A. J. Gómez Ramírez and published by Springer Nature. This book was released on 2020-10-23 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the theoretical foundations of a new inter- and intra-disciplinary meta-research discipline, which can be succinctly called cognitive metamathematics, with the ultimate goal of achieving a global instance of concrete Artificial Mathematical Intelligence (AMI). In other words, AMI looks for the construction of an (ideal) global artificial agent being able to (co-)solve interactively formal problems with a conceptual mathematical description in a human-style way. It first gives formal guidelines from the philosophical, logical, meta-mathematical, cognitive, and computational points of view supporting the formal existence of such a global AMI framework, examining how much of current mathematics can be completely generated by an interactive computer program and how close we are to constructing a machine that would be able to simulate the way a modern working mathematician handles solvable mathematical conjectures from a conceptual point of view. The thesis that it is possible to meta-model the intellectual job of a working mathematician is heuristically supported by the computational theory of mind, which posits that the mind is in fact a computational system, and by the meta-fact that genuine mathematical proofs are, in principle, algorithmically verifiable, at least theoretically. The introduction to this volume provides then the grounding multifaceted principles of cognitive metamathematics, and, at the same time gives an overview of some of the most outstanding results in this direction, keeping in mind that the main focus is human-style proofs, and not simply formal verification. The first part of the book presents the new cognitive foundations of mathematics’ program dealing with the construction of formal refinements of seminal (meta-)mathematical notions and facts. The second develops positions and formalizations of a global taxonomy of classic and new cognitive abilities, and computational tools allowing for calculation of formal conceptual blends are described. In particular, a new cognitive characterization of the Church-Turing Thesis is presented. In the last part, classic and new results concerning the co-generation of a vast amount of old and new mathematical concepts and the key parts of several standard proofs in Hilbert-style deductive systems are shown as well, filling explicitly a well-known gap in the mechanization of mathematics concerning artificial conceptual generation.

Mathematical Knowledge Management

Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 3540371044
Total Pages : 303 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematical Knowledge Management by : Jonathan M. Borwein

Download or read book Mathematical Knowledge Management written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2006-07-26 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutes the proceedings of the 5th International Conference on Mathematical Knowledge Management, MKM 2006, held in Wokingham. This book includes 22 full papers which cover the whole area of mathematical knowledge management in the intersection of mathematics, computer science, library science, and scientific publishing.

Inductive Logic Programming

Author : Tamas Horváth
Publisher : Springer
ISBN 13 : 3540399178
Total Pages : 411 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Inductive Logic Programming by : Tamas Horváth

Download or read book Inductive Logic Programming written by Tamas Horváth and published by Springer. This book was released on 2003-10-24 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Inductive Logic Programming, ILP 2003, held in Szeged, Hungary in September/October 2003. The 23 revised full papers presented were carefully reviewed and selected from 53 submissions. Among the topics addressed are multirelational data mining, complexity issues, theory revision, clustering, mathematical discovery, relational reinforcement learning, multirelational learning, inductive inference, description logics, grammar systems, and inductive learning.

Principles and Practice of Constraint Programming - CP 2001

Author : Toby Walsh
Publisher : Springer
ISBN 13 : 3540455787
Total Pages : 794 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Principles and Practice of Constraint Programming - CP 2001 by : Toby Walsh

Download or read book Principles and Practice of Constraint Programming - CP 2001 written by Toby Walsh and published by Springer. This book was released on 2003-06-30 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Principles and Practice of Constraint Programming, CP 2001, held in Paphos, Cyprus, in November/December 2001. The 37 revised full papers, 9 innovative applications presentations, and 14 short papers presented were carefully reviewed and selected from a total of 135 submissions. All current issues in constraint processing are addressed, ranging from theoretical and foundational issues to advanced and innovative applications in a variety of fields.

Automated Reasoning

Author : Ulrich Furbach
Publisher : Springer
ISBN 13 : 3540371885
Total Pages : 693 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Automated Reasoning by : Ulrich Furbach

Download or read book Automated Reasoning written by Ulrich Furbach and published by Springer. This book was released on 2006-10-06 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here are the proceedings of the Third International Joint Conference on Automated Reasoning, IJCAR 2006, held in Seattle, Washington, USA, August 2006. The book presents 41 revised full research papers and 8 revised system descriptions, with 3 invited papers and a summary of a systems competition. The papers are organized in topical sections on proofs, search, higher-order logic, proof theory, proof checking, combination, decision procedures, CASC-J3, rewriting, and description logic.

A Critical Reflection on Automated Science

Author : Marta Bertolaso
Publisher : Springer Nature
ISBN 13 : 3030250016
Total Pages : 302 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis A Critical Reflection on Automated Science by : Marta Bertolaso

Download or read book A Critical Reflection on Automated Science written by Marta Bertolaso and published by Springer Nature. This book was released on 2020-02-05 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a critical reflection on automated science and addresses the question whether the computational tools we developed in last decades are changing the way we humans do science. More concretely: Can machines replace scientists in crucial aspects of scientific practice? The contributors to this book re-think and refine some of the main concepts by which science is understood, drawing a fascinating picture of the developments we expect over the next decades of human-machine co-evolution. The volume covers examples from various fields and areas, such as molecular biology, climate modeling, clinical medicine, and artificial intelligence. The explosion of technological tools and drivers for scientific research calls for a renewed understanding of the human character of science. This book aims precisely to contribute to such a renewed understanding of science.

Advances in Artificial Intelligence and Its Applications

Author : Félix Castro
Publisher : Springer
ISBN 13 : 3642451144
Total Pages : 606 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Advances in Artificial Intelligence and Its Applications by : Félix Castro

Download or read book Advances in Artificial Intelligence and Its Applications written by Félix Castro and published by Springer. This book was released on 2013-11-22 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNAI 8265 and LNAI 8266 constitutes the proceedings of the 12th Mexican International Conference on Artificial Intelligence, MICAI 2013, held in Mexico City, Mexico, in November 2013. The total of 85 papers presented in these proceedings were carefully reviewed and selected from 284 submissions. The first volume deals with advances in artificial intelligence and its applications and is structured in the following five sections: logic and reasoning; knowledge-based systems and multi-agent systems; natural language processing; machine translation; and bioinformatics and medical applications. The second volume deals with advances in soft computing and its applications and is structured in the following eight sections: evolutionary and nature-inspired metaheuristic algorithms; neural networks and hybrid intelligent systems; fuzzy systems; machine learning and pattern recognition; data mining; computer vision and image processing; robotics, planning and scheduling and emotion detection, sentiment analysis and opinion mining.

Automated Deduction - CADE-18

Author : Andrei Voronkov
Publisher : Springer Science & Business Media
ISBN 13 : 3540439315
Total Pages : 545 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Automated Deduction - CADE-18 by : Andrei Voronkov

Download or read book Automated Deduction - CADE-18 written by Andrei Voronkov and published by Springer Science & Business Media. This book was released on 2002-07-17 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First CADE in the Third Millennium This volume contains the papers presented at the Eighteenth International C- ference on Automated Deduction (CADE-18) held on July 27–30th, 2002, at the University of Copenhagen as part of the Federated Logic Conference (FLoC 2002). Despite a large number of deduction-related conferences springing into existence at the end of the last millennium, the CADE conferences continue to be the major forum for the presentation of new research in all aspects of automated deduction. CADE-18 was sponsored by the Association for Auto- ted Reasoning, CADE Inc., the Department of Computer Science at Chalmers University, the Gesellschaft fur ̈ Informatik, Safelogic AB, and the University of Koblenz-Landau. There were 70 submissions, including 60 regular papers and 10 system - scriptions. Each submission was reviewed by at least ?ve program committee members and an electronic program committee meeting was held via the Int- net. The committee decided to accept 27 regular papers and 9 system descr- tions. One paper switched its category after refereeing, thus the total number of system descriptions in this volume is 10. In addition to the refereed papers, this volume contains an extended abstract of the CADE invited talk by Ian Horrocks, the joint CADE/CAV invited talk by Sharad Malik, and the joint CADE-TABLEAUX invited talk by Matthias Baaz. One more invited lecture was given by Daniel Jackson.

Model-Based Reasoning in Science and Technology

Author : Lorenzo Magnani
Publisher : Springer Science & Business Media
ISBN 13 : 3642152228
Total Pages : 664 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Model-Based Reasoning in Science and Technology by : Lorenzo Magnani

Download or read book Model-Based Reasoning in Science and Technology written by Lorenzo Magnani and published by Springer Science & Business Media. This book was released on 2010-08-30 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematically presented to enhance the feasibility of fuzzy models, this book introduces the novel concept of a fuzzy network whose nodes are rule bases and their interconnections are interactions between rule bases in the form of outputs fed as inputs.

NASA Formal Methods

Author : Aaron Dutle
Publisher : Springer
ISBN 13 : 3319779354
Total Pages : 470 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis NASA Formal Methods by : Aaron Dutle

Download or read book NASA Formal Methods written by Aaron Dutle and published by Springer. This book was released on 2018-04-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 10th International Symposium on NASA Formal Methods, NFM 2018, held in Newport News, VA, USA, in April 2018. The 24 full and 7 short papers presented in this volume were carefully reviewed and selected from 92 submissions. The papers focus on formal techniques and other approaches for software assurance, their theory, current capabilities and limitations, as well as their potential application to aerospace, robotics, and other NASA-relevant safety-critical systems during all stages of the software life-cycle.

Knowledge-Based Intelligent Information and Engineering Systems

Author : Bruno Apolloni
Publisher : Springer
ISBN 13 : 354074827X
Total Pages : 1372 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Knowledge-Based Intelligent Information and Engineering Systems by : Bruno Apolloni

Download or read book Knowledge-Based Intelligent Information and Engineering Systems written by Bruno Apolloni and published by Springer. This book was released on 2007-09-12 with total page 1372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation The three volume set LNAI 4692, LNAI 4693, and LNAI 4694, constitute the refereed proceedings of the 11th International Conference on Knowledge-Based Intelligent Information and Engineering Systems, KES 2007, held in Vietri sul Mare, Italy, September 12-14, 2007. The 409 revised papers presented were carefully reviewed and selected from about 1203 submissions. The papers present a wealth of original research results from the field of intelligent information processing in the broadest sense; topics covered in the first volume are artificial neural networks and connectionists systems, fuzzy and neuro-fuzzy systems, evolutionary computation, machine learning and classical AI, agent systems, knowledge based and expert systems, hybrid intelligent systems, miscellaneous intelligent algorithms, intelligent vision and image processing, knowledge management and ontologies, Web intelligence, multimedia, e-learning and teaching, intelligent signal processing, control and robotics, other intelligent systems applications, papers of the experience management and engineering workshop, industrial applications of intelligent systems, as well as information engineering and applications in ubiquotous computing environments.

Principles and Practice of Constraint Programming

Author : Gilles Pesant
Publisher : Springer
ISBN 13 : 3319232193
Total Pages : 765 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Principles and Practice of Constraint Programming by : Gilles Pesant

Download or read book Principles and Practice of Constraint Programming written by Gilles Pesant and published by Springer. This book was released on 2015-08-12 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 21st International Conference on Principles and Practice of Constraint Programming, CP 2015, held in Cork, Ireland, in August/September 2015. This edition of the conference was part of George Boole 200, a celebration of the life and work of George Boole who was born in 1815 and worked at the University College of Cork. It was also co-located with the 31st International Conference on Logic Programming (ICLP 2015). The 48 revised papers presented together with 3 invited talks and 16 abstract papers were carefully selected from numerous submissions. The scope of CP 2014 includes all aspects of computing with constraints, including theory, algorithms, environments, languages, models, systems, and applications such as decision making, resource allocation, schedulling, configuration, and planning.