Logic Computation And Rigorous Methods

Author : Alexander Raschke,Elvinia Riccobene,Klaus-Dieter Schewe
Publisher : Springer Nature
Page : 367 pages
File Size : 45,5 Mb
Release : 2021-06-04
Category : Computers
ISBN : 9783030760205

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Logic, Computation and Rigorous Methods by Alexander Raschke,Elvinia Riccobene,Klaus-Dieter Schewe Pdf

This Festschrift was published in honor of Egon Börger on the occasion of his 75th birthday. It acknowledges Prof. Börger's inspiration as a scientist, author, mentor, and community organizer. Dedicated to a pioneer in the fields of logic and computer science, Egon Börger's research interests are unusual in scope, from programming languages to hardware architectures, software architectures, control systems, workflow and interaction patterns, business processes, web applications, and concurrent systems. The 18 invited contributions in this volume are by leading researchers in the areas of software engineering, programming languages, business information systems, and computer science logic.

Author : Uwe Glässer,Jose Creissac Campos,Dominique Méry,Philippe Palanque
Publisher : Springer Nature
Page : 386 pages
File Size : 46,6 Mb
Release : 2023-05-14
Category : Mathematics
ISBN : 9783031331633

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Rigorous State-Based Methods by Uwe Glässer,Jose Creissac Campos,Dominique Méry,Philippe Palanque Pdf

This book constitutes the refereed proceedings of the 9th International Conference on Rigorous State-Based Methods, ABZ 2023, held in Nancy, France, in May 2023. The 12 full and 7 short papers included in this volume were carefully reviewed and selected from 47 submissions. The proceedings also include 4 PhD symposium contributions. They deal with state-based and machine-based formal methods, mainly Abstract State Machines (ASM), Alloy, B, TLA+, VDM, and Z.

Author : Silvia Bonfanti
Publisher : Springer Nature
Page : 404 pages
File Size : 55,8 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9783031637902

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Rigorous State-Based Methods by Silvia Bonfanti Pdf

Author : Rex Page,Ruben Gamboa
Publisher : MIT Press
Page : 305 pages
File Size : 48,6 Mb
Release : 2019-01-08
Category : Computers
ISBN : 9780262039185

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Essential Logic for Computer Science by Rex Page,Ruben Gamboa Pdf

An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.

Author : Uwe Schöning
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 44,9 Mb
Release : 2009-11-03
Category : Mathematics
ISBN : 9780817647636

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Logic for Computer Scientists by Uwe Schöning Pdf

This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative examples and exercises. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way. The style and scope of the work, rounded out by the inclusion of exercises, make this an excellent textbook for an advanced undergraduate course in logic for computer scientists.

Author : Wolfgang Ahrendt,Bernhard Beckert,Richard Bubel,Einar Broch Johnsen
Publisher : Springer Nature
Page : 531 pages
File Size : 43,8 Mb
Release : 2022-07-04
Category : Computers
ISBN : 9783031081668

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The Logic of Software. A Tasting Menu of Formal Methods by Wolfgang Ahrendt,Bernhard Beckert,Richard Bubel,Einar Broch Johnsen Pdf

This Festschrift, dedicated to Reiner Hähnle on the occasion of his 60th birthday, contains papers written by many of his closest collaborators. After positions at Karlsruhe Institute of Technology and Chalmers University of Technology, since 2011 Reiner has been the chaired professor of Software Engineering at Technische Universität Darmstadt, where his team focuses on the formal verification of object-oriented software, the formal modeling and specification of highly adaptive software systems, and formal modeling and analysis in domains such as biological systems and railroad operations. His work is characterized by achievements in theory and in practical implementations, significant collaborations include the KeY project and the development of the ABS language. He has served as chair and editor of important related academic conferences, and coauthored almost 200 academic publications. The contributions in this volume reflect Reiner’s main research focus: formal methods, in particular applied to software verification.

Author : Egon Börger,Vincenzo Gervasi
Publisher : Springer Nature
Page : 286 pages
File Size : 48,7 Mb
Release : 2024
Category : Computer science
ISBN : 9783031543586

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Structures of Computing by Egon Börger,Vincenzo Gervasi Pdf

Structures of Computing explains the behavioral meaning of fundamental concepts of computing from a practical viewpoint and in generic terms, unrestricted by specific computing devices or programming languages. To compute is understood as processing structures by a set of cooperating agents each of which executes an algorithm assigned to it and interacts with the other agents. Part I of the book defines the conceptual constituents of interactive processes: (i) data, i.e. structured objects with associated properties, relations and functions the algorithmic processes operate upon, (ii) basic operations that affect the data in single execution steps, and (iii) control mechanisms that determine the combination of single steps in multi-agent computations where the interaction happens via communication or other forms of data sharing. Part II analyses these constituents concerning (i) methods to achieve process correctness (inspection, experimental validation, reasoning), (ii) principal computational paradigms (architectures, programming styles, communication structures, control patterns from sequential and reflective to concurrent, mixed synchronous/asynchronous and data flow control), and (iii) complexity (power and limits of computing structures). The book is mainly addressed to students and professionals who want to understand the conceptual foundation of computing. It does not assume any specific programming experience but only a basic understanding of what are mechanically executable processes and their descriptions. Any unnecessary formalism is thus avoided, and definitions are formulated as much as possible in natural language, using common mathematical notation only where needed to prevent ambiguities. Numerous examples and exercises serve as comprehension checkpoints.

Author : Robert S. Boyer,J Strother Moore
Publisher : Unknown
Page : 552 pages
File Size : 47,5 Mb
Release : 1998
Category : Computers
ISBN : UOM:39015040049192

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A Computational Logic Handbook by Robert S. Boyer,J Strother Moore Pdf

This book provides the definitive documentation for one of the most well-known and highly regarded theorem-proving programs ever written. The program described is one of the more significant, enduring, and prize-awarded accomplishments in the fields of artificial intelligence, formal methods, and applied logic. The book provides an exact statement of the logic for which the program is a prover, a complete description of the user's commands, installation instructions, and much tutorial information, including references to thousands of pages of examples. Among the examples is a formally verified microprocessor and a formally verified compiler targeting that microprocessor. The second edition of A Computational Logic handbook provides all the information necessry for using the most recently releases version of Nqthm, the freely available"Boyer-Moore"theorem-proving program. The second edition includes a precise description of all recent changes to the logic in the past nine years, including many enhanced syntactic features and rules of inference, which were added to support work on large scale projects in formal methods. Thousands of pages of fascinating, exemplary, mathematically-checked input are described, examples that deal with very difficult questions in formal mehtods and mathematics. New material includes: Description of the new syntax, including COND, CASE, LET, LIST*, and backquote; describes some higher order inference procedures, including"constrained functions"and"functional instantiation"; documents more sophisticated control machinery for manipulating very large theories; introduces a secure proof-checking environment; describes thousands of pages of fascinating example input dealing with very difficult questions in formal methods and mathematics; provides a formal parserfor the syntax; compares the proof complexity of many interesting checked examples; includes much new tutorial help, especially for the many new features. A computational logic is a mathematical logic that is both oriented towards discussion of computation and mechanised so that proofs can be checked by computation. The computational logic discussed in the handbook is that developed by Boyer & Moore. The first edition, published in 1988, is an acknowledged classic in the field of formal methods and computational logic. However it no longer reflects existing technology. The second edition provides a complete overview of the Boyer/Moore theorem proving approach (Nqthm) and provides examples. It includes several significant new features that have been aded to the Nquthm system since 1988. The book is structured in thefollowing way: Part 1 discusses logic without regard for its mechanisation and answers the question what are the axioms and rules of inference? Part 2 discusses its mechanisation and answers the question how does one use the Boyer/Moore theorem prover to prove theorems?

Author : Yamine Aït-Ameur,Florin Crăciun
Publisher : Springer Nature
Page : 441 pages
File Size : 53,8 Mb
Release : 2022-07-01
Category : Computers
ISBN : 9783031103636

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Theoretical Aspects of Software Engineering by Yamine Aït-Ameur,Florin Crăciun Pdf

This book constitutes the proceedings of the 16th International Conference on Theoretical Aspects of Software Engineering, TASE 2022, held in Cluj-Napoca, Romania, July 2022. The 21 full regular papers presented together with 5 short papers in this book were carefully reviewed and selected from 71 submissions. The topics of the papers covering various fields in software engineering and the latest developments in in formal and theoretical software engineering methods and techniques.

Author : Guy Even,Moti Medina
Publisher : Cambridge University Press
Page : 369 pages
File Size : 48,9 Mb
Release : 2012-10-08
Category : Computers
ISBN : 9781139789790

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Digital Logic Design by Guy Even,Moti Medina Pdf

This textbook, based on the authors' fifteen years of teaching, is a complete teaching tool for turning students into logic designers in one semester. Each chapter describes new concepts, giving extensive applications and examples. Assuming no prior knowledge of discrete mathematics, the authors introduce all background in propositional logic, asymptotics, graphs, hardware and electronics. Important features of the presentation are: • All material is presented in full detail. Every designed circuit is formally specified and implemented, the correctness of the implementation is proved, and the cost and delay are analyzed • Algorithmic solutions are offered for logical simulation, computation of propagation delay and minimum clock period • Connections are drawn from the physical analog world to the digital abstraction • The language of graphs is used to describe formulas and circuits • Hundreds of figures, examples and exercises enhance understanding. The extensive website (http://www.eng.tau.ac.il/~guy/Even-Medina/) includes teaching slides, links to Logisim and a DLX assembly simulator.

Author : Antonio Cerone,Marco Autili,Alessio Bucaioni,Cláudio Gomes,Pierluigi Graziani,Maurizio Palmieri,Marco Temperini,Gentiane Venture
Publisher : Springer Nature
Page : 355 pages
File Size : 55,5 Mb
Release : 2022-09-24
Category : Computers
ISBN : 9783031124297

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Software Engineering and Formal Methods. SEFM 2021 Collocated Workshops by Antonio Cerone,Marco Autili,Alessio Bucaioni,Cláudio Gomes,Pierluigi Graziani,Maurizio Palmieri,Marco Temperini,Gentiane Venture Pdf

This volume constitutes revised selected papers from the four workshops collocated with the 19th International Conference on Software Engineering and Formal Methods, SEFM 2021, held virtually during December 6–10, 2021. The 21 contributed papers presented in this volume were carefully reviewed and selected from a total of 29 submissions. The book also contains 3 invited talks. SEFM 2021 presents the following four workshops: CIFMA 2021 - 3rd International Workshop on Cognition: Interdisciplinary Foundations, Models and Applications;CoSim-CPS 2021 - 5th Workshop on Formal Co-Simulation of Cyber-Physical Systems;OpenCERT 2021 - 10th International Workshop on Open Community approaches to Education, Research and Technology;ASYDE 2021 - 3rd International Workshop on Automated and verifiable Software sYstem Development. Due to the Corona pandemic this event was held virtually.

Author : Richard Zach
Publisher : Unknown
Page : 418 pages
File Size : 45,7 Mb
Release : 2021-07-13
Category : Electronic
ISBN : 9798536395509

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Sets, Logic, Computation by Richard Zach Pdf

A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.

Author : Robert S. Boyer,J Strother Moore
Publisher : Academic Press
Page : 414 pages
File Size : 54,8 Mb
Release : 2014-06-25
Category : Mathematics
ISBN : 9781483277882

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A Computational Logic by Robert S. Boyer,J Strother Moore Pdf

ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

Author : Akash Lal,Stefano Tonetta
Publisher : Springer Nature
Page : 176 pages
File Size : 54,8 Mb
Release : 2023-01-31
Category : Computers
ISBN : 9783031258039

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Verified Software. Theories, Tools and Experiments. by Akash Lal,Stefano Tonetta Pdf

This book constitutes the refereed proceedings of the 14th International Conference on Verified Software. Theories, Tools and Experiments, VSTTE 2022 held in Trento, Italy, during October 17–18, 2022. The 9 papers presented in this volume were carefully reviewed and selected from 20 submissions. The papers describe software verification efforts that involve collaboration, theory unification, tool integration, and formalized domain knowledge as well as novel experiments and case studies evaluating verification techniques and technologies.

Author : S Barry Cooper,Andrea Sorbi
Publisher : World Scientific
Page : 420 pages
File Size : 51,5 Mb
Release : 2011-02-25
Category : Mathematics
ISBN : 9781908978769

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Computability in Context by S Barry Cooper,Andrea Sorbi Pdf

Computability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address in a radically new way questions of efficiency and challenge assumptions about the so-called Turing barrier. This volume addresses various aspects of the ways computability and theoretical computer science enable scientists and philosophers to deal with mathematical and real-world issues, covering problems related to logic, mathematics, physical processes, real computation and learning theory. At the same time it will focus on different ways in which computability emerges from the real world, and how this affects our way of thinking about everyday computational issues. Contents:Computation, Information, and the Arrow of Time (P Adriaans & P van Emde Boas)The Isomorphism Conjecture for NP (M Agrawal)The Ershov Hierarchy (M M Arslanov)Complexity and Approximation in Reoptimization (G Ausiello et al.)Definability in the Real Universe (S B Cooper)HF-Computability (Y L Drshov et al.)The Mathematics of Computing Between Logic and Physics (G Longo & T Paul)Liquid State Machines: Motivation, Theory, and Applications (W Maass)Experiments on an Internal Approach to Typed Algorithms in Analysis (D Normann)Recursive Functions: An Archeological Look (P Odifreddi)Reverse Mathematics and Well-Ordering Principles (M Rathjen & A Weiermann)Discrete Transfinite Computation Models (P D Welch) Readership: Researchers in computational mathematics, logic, and theoretical computer science. Keywords:Computability;Logic;Real World;Turing Barrier;Real Computation;Learning Theory