# Computational Logic

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### A Computational Logic

Author | : Robert S. Boyer,J Strother Moore |

Publsiher | : Academic Press |

Total Pages | : 414 |

Release | : 2014-06-25 |

Genre | : Mathematics |

ISBN | : 9781483277882 |

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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.

### A Computational Logic Handbook

Author | : Robert S. Boyer,J Strother Moore |

Publsiher | : Elsevier |

Total Pages | : 427 |

Release | : 2014-05-10 |

Genre | : Mathematics |

ISBN | : 9781483277783 |

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Perspectives in Computing: A Computational Logic Handbook contains a precise description of the logic and a detailed reference guide to the associated mechanical theorem proving system, including a primer for the logic as a functional programming language, an introduction to proofs in the logic, and a primer for the mechanical theorem. The publication first offers information on a primer for the logic, formalization within the logic, and a precise description of the logic. Discussions focus on induction and recursion, quantification, explicit value terms, dealing with features and omissions, elementary mathematical relationships, Boolean operators, and conventional data structures. The text then takes a look at proving theorems in the logic, mechanized proofs in the logic, and an introduction to the system. The text examines the processes involved in using the theorem prover, four classes of rules generated from lemmas, and aborting or interrupting commands. Topics include executable counterparts, toggle, elimination of irrelevancy, heuristic use of equalities, representation of formulas, type sets, and the crucial check points in a proof attempt. The publication is a vital reference for researchers interested in computational logic.

### Computational Logic

Author | : Ulrich Berger,Helmut Schwichtenberg |

Publsiher | : Springer Science & Business Media |

Total Pages | : 464 |

Release | : 1999-04-14 |

Genre | : Computers |

ISBN | : 3540645896 |

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Proceedings of the NATO Advanced Study Institute on Computational Logic, held in Marktoberdorf, Germany, July 29 - August 10, 1997

### Computational Logic and Set Theory

Author | : Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo |

Publsiher | : Springer Science & Business Media |

Total Pages | : 426 |

Release | : 2011-07-16 |

Genre | : Computers |

ISBN | : 9780857298089 |

**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.

### COMPUTATIONAL LOGIC

Author | : Narayan Changder |

Publsiher | : CHANGDER OUTLINE |

Total Pages | : 38 |

Release | : 2024-03-07 |

Genre | : Mathematics |

ISBN | : 9182736450XXX |

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Decode logical computing with precision using this comprehensive MCQ mastery guide on computational logic. Tailored for students, researchers, and computer scientists, this resource offers a curated selection of practice questions covering key concepts, algorithms, and applications in computational logic. Delve deep into propositional logic, predicate logic, and formal proof systems while enhancing your problem-solving skills. Whether you're preparing for exams or seeking to reinforce your practical knowledge, this guide equips you with the tools needed to excel. Master computational logic and unlock the potential of logical reasoning in computing with confidence using this indispensable resource.

### Computational Logic

Author | : Dov M. Gabbay,Jörg H. Siekmann,John Woods |

Publsiher | : Newnes |

Total Pages | : 737 |

Release | : 2014-12-09 |

Genre | : Mathematics |

ISBN | : 9780080930671 |

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Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship. Computational logic was born in the twentieth century and evolved in close symbiosis with the advent of the first electronic computers and the growing importance of computer science, informatics and artificial intelligence. With more than ten thousand people working in research and development of logic and logic-related methods, with several dozen international conferences and several times as many workshops addressing the growing richness and diversity of the field, and with the foundational role and importance these methods now assume in mathematics, computer science, artificial intelligence, cognitive science, linguistics, law and many engineering fields where logic-related techniques are used inter alia to state and settle correctness issues, the field has diversified in ways that even the pure logicians working in the early decades of the twentieth century could have hardly anticipated. Logical calculi, which capture an important aspect of human thought, are now amenable to investigation with mathematical rigour and computational support and fertilized the early dreams of mechanised reasoning: “Calculemus . The Dartmouth Conference in 1956 – generally considered as the birthplace of artificial intelligence – raised explicitly the hopes for the new possibilities that the advent of electronic computing machinery offered: logical statements could now be executed on a machine with all the far-reaching consequences that ultimately led to logic programming, deduction systems for mathematics and engineering, logical design and verification of computer software and hardware, deductive databases and software synthesis as well as logical techniques for analysis in the field of mechanical engineering. This volume covers some of the main subareas of computational logic and its applications. Chapters by leading authorities in the field Provides a forum where philosophers and scientists interact Comprehensive reference source on the history of logic

### Computational Logic in Multi Agent Systems

Author | : Jürgen Dix,Michael Fisher,Peter Novák |

Publsiher | : Springer Science & Business Media |

Total Pages | : 205 |

Release | : 2010-10-29 |

Genre | : Computers |

ISBN | : 9783642168666 |

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This book constitutes the thoroughly refereed and revised post-conference proceedings of the 10th International Workshop on Computational Logic for Multi-Agent Systems, CLIMA X, held in Hamburg, Germany, in September 2009 - co-located with MATES 2009, the 7th German conference on Multi-Agent System Technologies. The 9 full papers, presented together with one invited paper, were carefully selected and reviewed from 18 submissions. The topics covered are formal approaches and model checking, belief-desire-intention, answer set programming and (multi-)agent systems, and coordination and deliberation.

### Computational Logic in Multi Agent Systems

Author | : João Leite,Paolo Torroni |

Publsiher | : Springer |

Total Pages | : 284 |

Release | : 2005-08-25 |

Genre | : Computers |

ISBN | : 9783540318576 |

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The notion of agency has recently increased its in?uence in the research and - velopment of computational logic based systems, while at the same time sign- cantly gaining from decades of research in computational logic. Computational logic provides a well-de?ned, general, and rigorous framework for studying s- tax, semantics and procedures, for implementations, environments, tools, and standards, facilitating the ever important link between speci?cation and ver- cation of computational systems. The purpose of the Computational Logic in Multi-agent Systems (CLIMA) international workshop series is to discuss techniques, based on computational logic, for representing, programming, and reasoning about multi-agent systems in a formal way. Former CLIMA editions were conducted in conjunction with other major computational logic and AI events such as CL in July 2000, ICLP in December 2001, FLoC in August 2002, and LPNMR and AI-Math in January 2004. The ?fth edition of CLIMA was held Lisbon, Portugal, in September 29–30, 2004.We,asorganizers,andinagreementwiththeCLIMASteeringCommittee, opted for co-location with the 9th European Conference on Logics in Arti?cial Intelligence (JELIA 2004), wishing to promote the CLIMA research topics in the broader community of logics in AI, a community whose growing interest in multi-agent issues has been demonstrated by the large number of agent-related papers submitted to recent editions of JELIA. The workshop received 35 submissions – a sensible increase from the previous edition.Thesubmittedpapersshowedthatthelogicalfoundationsofmulti-agent systems are felt by a large community to be a very important research topic, upon which classical AI and agent-related issues are to be addressed.