Logic

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Logic And Implication

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Author : Petr Cintula
language : en
Publisher: Springer Nature
Release Date : 2022-01-01

Logic And Implication written by Petr Cintula and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Philosophy categories.

This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics.

Logic Deductive And Inductive

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Author : Alexander Bain
language : en
Publisher:
Release Date : 1889

Logic Deductive And Inductive written by Alexander Bain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1889 with Logic categories.

Fuzzy Sets Logics And Reasoning About Knowledge

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Author : Didier Dubois
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Fuzzy Sets Logics And Reasoning About Knowledge written by Didier Dubois and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.

Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning. It takes a state-of-the-art look at multiple-valued and fuzzy set-based logics, in an artificial intelligence perspective. The papers, all of which are written by leading contributors in their respective fields, are grouped into four sections. The first section presents a panorama of many-valued logics in connection with fuzzy sets. The second explores algebraic foundations, with an emphasis on MV algebras. The third is devoted to approximate reasoning methods and similarity-based reasoning. The fourth explores connections between fuzzy knowledge representation, especially possibilistic logic and prioritized knowledge bases. Readership: Scholars and graduate students in logic, algebra, knowledge representation, and formal aspects of artificial intelligence.

The Logical Alien

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Author : Sofia Miguens
language : en
Publisher: Harvard University Press
Release Date : 2020-01-14

The Logical Alien written by Sofia Miguens and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Philosophy categories.

Is our logical form of thought merely one among many, or must it be the form of thought as such? From Kant to Wittgenstein, philosophers have wrestled with variants of this question. This volume brings together nine distinguished thinkers on the subject, including James Conant, author of the seminal paper “The Search for Logically Alien Thought.”

Theory Of Logical Calculi

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Author : Ryszard Wójcicki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Theory Of Logical Calculi written by Ryszard Wójcicki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Philosophy categories.

The general aim of this book is to provide an elementary exposition of some basic concepts in terms of which both classical and non-dassicallogirs may be studied and appraised. Although quantificational logic is dealt with briefly in the last chapter, the discussion is chiefly concemed with propo gjtional cakuli. Still, the subject, as it stands today, cannot br covered in one book of reasonable length. Rather than to try to include in the volume as much as possible, I have put emphasis on some selected topics. Even these could not be roverrd completely, but for each topic I have attempted to present a detailed and precise t'Xposition of several basic results including some which are non-trivial. The roots of some of the central ideas in the volume go back to J. Luka siewicz's seminar on mathematicallogi.

Logics In Artificial Intelligence

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Author : Eduardo Fermé
language : en
Publisher: Springer
Release Date : 2014-09-16

Logics In Artificial Intelligence written by Eduardo Fermé and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-16 with Computers categories.

This book constitutes the proceedings of the 14th European Conference on Logics in Artificial Intelligence, JELIA 2014, held in Funchal, Madeira, Portugal, in September 2014. The 35 full papers and 14 short papers included in this volume were carefully reviewed and selected from 121 submissions. They are organized in topical sections named: description logics; automated reasoning; logics for uncertain reasoning; non-classical logics; answer-set programming; belief revision; dealing with inconsistency in ASP and DL; reason about actions and causality; system descriptions; short system descriptions; and short papers. The book also contains 4 full paper invited talks.

Labelled Non Classical Logics

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Author : Luca Viganò
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-01-31

Labelled Non Classical Logics written by Luca Viganò and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-31 with Computers categories.

The subject of Labelled Non-Classical Logics is the development and investigation of a framework for the modular and uniform presentation and implementation of non-classical logics, in particular modal and relevance logics. Logics are presented as labelled deduction systems, which are proved to be sound and complete with respect to the corresponding Kripke-style semantics. We investigate the proof theory of our systems, and show them to possess structural properties such as normalization and the subformula property, which we exploit not only to establish advantages and limitations of our approach with respect to related ones, but also to give, by means of a substructural analysis, a new proof-theoretic method for investigating decidability and complexity of (some of) the logics we consider. All of our deduction systems have been implemented in the generic theorem prover Isabelle, thus providing a simple and natural environment for interactive proof development. Labelled Non-Classical Logics is essential reading for researchers and practitioners interested in the theory and applications of non-classical logics.

A Logical Introduction To Probability And Induction

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Author : Franz Huber
language : en
Publisher: Oxford University Press
Release Date : 2018-11-21

A Logical Introduction To Probability And Induction written by Franz Huber and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-21 with Mathematics categories.

A Logical Introduction to Probability and Induction is a textbook on the mathematics of the probability calculus and its applications in philosophy. On the mathematical side, the textbook introduces these parts of logic and set theory that are needed for a precise formulation of the probability calculus. On the philosophical side, the main focus is on the problem of induction and its reception in epistemology and the philosophy of science. Particular emphasis is placed on the means-end approach to the justification of inductive inference rules. In addition, the book discusses the major interpretations of probability. These are philosophical accounts of the nature of probability that interpret the mathematical structure of the probability calculus. Besides the classical and logical interpretation, they include the interpretation of probability as chance, degree of belief, and relative frequency. The Bayesian interpretation of probability as degree of belief locates probability in a subject's mind. It raises the question why her degrees of belief ought to obey the probability calculus. In contrast to this, chance and relative frequency belong to the external world. While chance is postulated by theory, relative frequencies can be observed empirically. A Logical Introduction to Probability and Induction aims to equip students with the ability to successfully carry out arguments. It begins with elementary deductive logic and uses it as basis for the material on probability and induction. Throughout the textbook results are carefully proved using the inference rules introduced at the beginning, and students are asked to solve problems in the form of 50 exercises. An instructor's manual contains the solutions to these exercises as well as suggested exam questions. The book does not presuppose any background in mathematics, although sections 10.3-10.9 on statistics are technically sophisticated and optional. The textbook is suitable for lower level undergraduate courses in philosophy and logic.

Logical Foundations Of Computer Science

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Author : Sergei Artemov
language : en
Publisher: Springer Nature
Release Date : 2021-12-16

Logical Foundations Of Computer Science written by Sergei Artemov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.

This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2022, held in Deerfield Beach, FL, USA, in January 2022. The 23 revised full papers were carefully reviewed and selected from 35 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; other logics in computer science.

Theorem Proving In Higher Order Logics

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Author : Stefan Berghofer
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-04

Theorem Proving In Higher Order Logics written by Stefan Berghofer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-04 with Computers categories.

This volume constitutes the proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2009), which was held during August 17-20, 2009 in Munich, Germany. TPHOLs covers all aspects of theorem proving in higher order logics as well as related topics in theorem proving and veri?cation. There were 55 papers submitted to TPHOLs 2009 in the full research c- egory, each of which was refereed by at least three reviewers selected by the ProgramCommittee. Of these submissions, 26 researchpapers and 1 proofpearl were accepted for presentation at the conference and publication in this v- ume. In keeping with longstanding tradition, TPHOLs 2009 also o?ered a venue for the presentation of emerging trends, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings volume was published as a 2009 technical report of the Technische Universit¨ at Munc ¨ hen. The organizers are grateful to David Basin, John Harrison and Wolfram Schulte for agreeing to give invited talks. We also invited four tool devel- ers to give tutorials about their systems. The following speakers kindly accepted our invitation and we are grateful to them: John Harrison (HOL Light), Adam Naumowicz (Mizar), Ulf Norell (Agda) and Carsten Schur ¨ mann (Twelf).