Journal of Applied Logics. The IfCoLog Journal of Logics and Their Applications, Volume 9, Issue 1, January 2022. Special Issue

Journal of Applied Logics. The IfCoLog Journal of Logics and Their Applications, Volume 9, Issue 1, January 2022. Special Issue
Author: Itala M Loffredo D'Ottaviano
Publisher:
Total Pages: 592
Release: 2022-01-20
Genre:
ISBN: 9781848903890

The Journal of Applied Logics- IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.

Journal of Applied Logics. IfCoLog Journal of Logics and Their Applications. Volume 11, Number 4, August 2024

Journal of Applied Logics. IfCoLog Journal of Logics and Their Applications. Volume 11, Number 4, August 2024
Author: Dov Gabbay
Publisher:
Total Pages: 0
Release: 2024-08-19
Genre: Mathematics
ISBN: 9781848904613

The Journal of Applied Logics- IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.

Generalized Galois Logics

Generalized Galois Logics
Author: Katalin Bimbó
Publisher: Center for the Study of Language and Information Publica Tion
Total Pages: 400
Release: 2008
Genre: Language Arts & Disciplines
ISBN:

Nonclassical logics have played an increasing role in recent years in disciplines ranging from mathematics and computer science to linguistics and philosophy. Generalized Galois Logics develops a uniform framework of relational semantics to mediate between logical calculi and their semantics through algebra. This volume addresses normal modal logics such as K and S5, and substructural logics, including relevance logics, linear logic, and Lambek calculi. The authors also treat less-familiar and new logical systems with equal deftness.

The Logic of God Incarnate

The Logic of God Incarnate
Author: Thomas V. Morris
Publisher: Wipf and Stock Publishers
Total Pages: 221
Release: 2001-04-06
Genre: Religion
ISBN: 1579106293

This book is a philosophical examination of the logical problems associated with the claim that Jesus of Nazareth was one and the same person as God the Son, the Second Person of the divine Trinity. How can a being or person who is omniscient, omnipotent, omnipresent, etc., have become human given that humans are limited in knowledge and beset with weaknesses? Unless this belief in the incarnation is to be dismissed as pious sentimentality, a philosophical case must be made for at least the possible rationality of the idea. Tom Morris makes such an attempt in this book. Indeed, although it claims only to be arguing that the idea of God Incarnate is not impossible, The Logic of God Incarnate confronts the preponderance of modem philosophical argumentation against the incarnation and manages to put the traditional doctrine in a quite plausible light.

Arnon Avron on Semantics and Proof Theory of Non-Classical Logics

Arnon Avron on Semantics and Proof Theory of Non-Classical Logics
Author: Ofer Arieli
Publisher: Springer Nature
Total Pages: 369
Release: 2021-07-30
Genre: Philosophy
ISBN: 3030712583

This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.

Journal of Applied Logics. The IfCoLog Journal of Logics and Their Applications. Volume 15, Issue 5, October 2024. Special Issue

Journal of Applied Logics. The IfCoLog Journal of Logics and Their Applications. Volume 15, Issue 5, October 2024. Special Issue
Author: Arsham Borumandsaeid
Publisher:
Total Pages: 0
Release: 2024-09-16
Genre: Mathematics
ISBN: 9781848904699

The Journal of Applied Logics- IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.

Applied Proof Theory: Proof Interpretations and their Use in Mathematics

Applied Proof Theory: Proof Interpretations and their Use in Mathematics
Author: Ulrich Kohlenbach
Publisher: Springer Science & Business Media
Total Pages: 539
Release: 2008-05-23
Genre: Mathematics
ISBN: 3540775331

This is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to ordinary mathematics. It covers both the necessary logical machinery behind the proof interpretations that are used in recent applications as well as – via extended case studies – carrying out some of these applications in full detail. This subject has historical roots in the 1950s. This book for the first time tells the whole story.

A Computational Logic Handbook

A Computational Logic Handbook
Author: Robert S. Boyer
Publisher: Elsevier
Total Pages: 427
Release: 2014-05-10
Genre: Mathematics
ISBN: 148327778X

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.

Proof Theory

Proof Theory
Author: Katalin Bimbo
Publisher: CRC Press
Total Pages: 388
Release: 2014-08-20
Genre: Mathematics
ISBN: 1466564660

Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi for various non-classical logics, from intuitionistic logic to relevance logic, linear logic, and modal logic. In the first chapters, the author emphasizes classical logic and a variety of different sequent calculi for classical and intuitionistic logics. She then presents other non-classical logics and meta-logical results, including decidability results obtained specifically using sequent calculus formalizations of logics. The book is suitable for a wide audience and can be used in advanced undergraduate or graduate courses. Computer scientists will discover intriguing connections between sequent calculi and resolution as well as between sequent calculi and typed systems. Those interested in the constructive approach will find formalizations of intuitionistic logic and two calculi for linear logic. Mathematicians and philosophers will welcome the treatment of a range of variations on calculi for classical logic. Philosophical logicians will be interested in the calculi for relevance logics while linguists will appreciate the detailed presentation of Lambek calculi and their extensions.