Last edited by Tygoll
Saturday, May 2, 2020 | History

4 edition of An Introduction to Substructural Logics found in the catalog.

# An Introduction to Substructural Logics

## by Greg Restall

Written in English

The Physical Object
Number of Pages400
ID Numbers
Open LibraryOL7486891M
ISBN 100415215331
ISBN 109780415215336

substructural logics see [10], which is the ﬁrst book on this topic, and also [38, 39]. Since basic substructural logics are formalized as sequent systems, our survey starts from these sequent systems and their proof theory. Then we will discuss the algebraic study of substructural logics based on residuated. Introduction to Logic book. Read 48 reviews from the world's largest community for readers. This book introduces the fundamental methods and techniques o /5.

The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide a reasonably gentle introduction to algebraic logic. [An introduction to Relevant Logic motivated by considerations in the theory of meaning. Develops a Lemmon-style proof theory for the Relevant Logic $$\mathbf{R}$$.] Restall, Greg, , An Introduction to Substructural Logics, Routledge. (online précis) [A general introduction to the field of substructural logics.].

Master Books' Introduction to Logic: Informal Fallacies introduces logic - the principles of correct reasoning - from a Christian perspective. Students will learn to understand how logic is different from other areas they might have conflated it with (like science, or stoicism) and they'll see how God is pro-reason and how logic intersects with what we know of God through His 5/5(7). This is an introduction to the study of Substructural Logics, which is an attempt to understand various nonclassical logics in a uniform way. N. Galatos, P. Jipsen, T. Kowalski, HO: Residuated Lattices: an algebraic Hiroakira Ono Substructural Logics - Part 1.

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### An Introduction to Substructural Logics by Greg Restall Download PDF EPUB FB2

Substructural logics have independently led to significant developments in philosophy, computing and linguistics. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are covered:Cited by:   Substructural logics have independently led to significant developments in philosophy, computing and linguistics.

An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are covered:Cited by: Substructural logics have independently led to significant developments in philosophy, computing and linguistics.

An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are covered:5/5(1). The book is an introduction to the field of relevant, linear, and other substructural logics, aimed at introducing this new and exciting field of logic to anyone and everyone.

In practice, this means that the book will suit the advanced undergraduate, postgraduate, or researcher in logic (in philosophy, mathematics, computer science or theoretical linguistics). Substructural logics have independently led to significant developments in philosophy, computing and linguistics.

An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are covered. Substructural logics have independently led to significant developments in philosophy, computing and linguistics.

An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are An Introduction to Substructural Logics book. An Introduction to Substructural Logics This book is, as the title says, an introduction to substructural logics.

Think of it as a book which tries to do for substructural logics what Hughes and Cresswell’s New Introduction did for modal logics. This book was published by Routledge in January Covering modal logics, many-valued logics, superintuitionistic and substructural logics, together with their algebraic semantics, the book also provides an introduction to nonclassical logic for undergraduate or graduate level book is divided into two parts: Proof Theory in Part I and Algebra in Logic in Part II.

The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics.

The second, less obvious but equally important, is to provide a. _An Introduction to Substrucural Logics_ is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both students and professors of philosophy, computing, linguistics, and mathematics will find this to Author: Greg Restall.

An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are covered:Brand: Taylor And Francis.

This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics.

An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics. In logic, a substructural logic is a logic lacking one of the usual structural rules (e.g.

of classical and intuitionistic logic), such as weakening, contraction, exchange or associativity. Two of the more significant substructural logics are relevance logic and linear logic.

In a sequent calculus, one writes each line of a proof as. An introduction to an important group of logics that have come to be known under the umbrella term susbstructural.

Substructural logics have independently led to significant developments in philosophy, computing and linguistics. Substructural logics have independently led to significant developments in philosophy, computing and linguistics.

An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are covered: * Proof Theory5/5(1). Other articles where Substructural logic is discussed: foundations of mathematics: Other logics: important have been various so-called substructural logics in which the usual properties of the deduction symbol are weakened: relevance logic is studied by philosophers, linear logic by computer scientists, and a noncommutative version of the latter by linguists.

Substructural logics have independently led to significant developments in philosophy, computing and linguistics. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of following topics are covered: * Proof Theory.

This graduate course provides an introduction to substructural logics, such as linear, ordered, affine, bunched, or separation logic, with an emphasis on their applications in computer science. Closed book. Final: Mon amam, GHC Closed book.

define and reason about programming languages using substructural. Genre/Form: Electronic books: Additional Physical Format: Print version: Restall, Greg, Introduction to substructural logics.

London ; New York: Routledge, Substructural logics comprise a family of nonclassical logics that arose in response to problems in theoretical computer science, mathematical linguistics, and category theory. They include intuitionist logic, relevant logic, BCK logic, linear logic, and Lambeck's calculus of synthetic categories.

This book brings together new papers by some of the most eminent authorities in. This is an introductory survey of substructural logics and of residuated lattices which are algebraic structures for substructural logics. Our survey starts from sequent systems for basic substructural logics and develops the proof theory of by: An Introduction to Substructural Logics by Greg Restall starting at \$ An Introduction to Substructural Logics has 2 available editions to buy at Half Price Books [email protected]{Restall00anintroduction, author = {Greg Restall}, title = {An introduction to substructural logics}, year = {}} Share.

OpenURL. Abstract. Abstract: This is a history of relevant and substructural logics, written for the Handbook of the History and Philosophy of Logic, edited by Dov Gabbay and John Woods. 1 1.