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Combinatory Logic

Author: Katalin Bimbó
Publisher: CRC Press
ISBN: 1439800014
Size: 48.21 MB
Format: PDF, Mobi
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Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Functioning as a comprehensive source for current developments of combinatory logic, this book is the only one of its kind to cover results of the last four decades. Using a reader-friendly style, the author presents the most up-to-date research studies. She includes an introduction to combinatory logic before progressing to its central theorems and proofs. The text makes intelligent and well-researched connections between combinatory logic and lambda calculi and presents models and applications to illustrate these connections.

Logic Language Information And Computation

Author: Lawrence S. Moss
Publisher: Springer
ISBN: 3662576694
Size: 40.69 MB
Format: PDF, Kindle
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Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 25th Workshop on Logic, Language, Information and Communication, WoLLIC 2018, held inBogota, Colombia, in July 2018. The 16 full papers together with 3 short papers and 3 invited talks presented were fully reviewed and selected from 30 submissions. The vision for the conference is to provide an annual forum which is large enough to provide meaningful interactions between logic and the sciences related to information and computation.

Proof Theory

Author: Katalin Bimbo
Publisher: CRC Press
ISBN: 1466564660
Size: 58.87 MB
Format: PDF
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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.

The New Walford

Author: Albert John Walford
Publisher: New Walford's Guide to Referen
ISBN: 9781856044950
Size: 64.60 MB
Format: PDF, ePub
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First published in 1959, Walford''s guide to reference material achieved international recognition as a leading bibliographic tool across all subject areas. But, in the 1990s, the web transformed the information universe; and so we have now transformed Walford. The New Walford (TNW) Volume 1: Science, Technology and Medicine is the first volume of a radically different guide. Published over 3 years, TNW will form the most substantial work of its kind in the English language. This book provides a pathway through the huge quantity of information now accessible via the web. The types of material cited have been greatly widened to reflect the revolution brought about by the use of networked information; but we have made sure that print resources are not ignored where these are still valuable. If you are approaching a subject for the first time, TNW will get you on your way, guiding you to the best starting points for your query. For the information professional, TNW''s new way of categorizing resources reflects the fundamental changes that have taken place in the scientific, business, political and social information landscapes. Who is it for This new reference book will be valuable for professionals worldwide who need to suggest resources to people who are relatively unfamiliar with the nuances of a topic and who need to know where to start. The focus is on resources that are most likely to be found and used within public, government, education or business information services. If you are an LIS professional responsible for developing and revising a reference collection, new to reference work, staffing an enquiry desk, a research worker or student, you''ll welcome publication of this new work - it''s your paper portal to the world of reference resources. Subject coverage mathematics physics & astronomy earth sciences chemistry biological sciences agriculture, forestry, fisheries & food pre-clinical sciences; clinical medicine health natural resources & energy engineering information & communication technology. Subject fields include astrophysics & cosmology biodiversity & conservation genetics, genomics & bioinformatics infectious diseases information system security meteorology & climatology microengineering & nanotechnology palaeontology soil science sports & exercise medicine. Editor-in-Chief Dr Ray Lester held posts in Unilever and a number of university libraries before becoming Director of Information Services at the London Business School and then the Head of Library and Information Services at The Natural History Museum. Subject specialists Catherine Carr, Cranfield University Jim Corlett, Nottingham Trent University Joanne Dunham, University of Leicester Helen Hathaway, University of Reading Dr Jonathan Jeffery, Leiden University Gareth Johnson, University of York Nazma Masud, Royal Society of Chemistry Roger Mills, University of Oxford Lorna Mitchell, Queen Mary, University of London Dr David Newton, The British Library Linda Norbury, University of Birmingham Bob Parry, University of Reading Alison Sutton, University of Reading Elizabeth Tilley, University of Cambridge Dr Barry White, University of Manchester Fenella Whittaker, The Institution of Mechanical Engineers. 010

A Modern Perspective On Type Theory

Author: F.D. Kamareddine
Publisher: Springer Science & Business Media
ISBN: 9781402023347
Size: 71.36 MB
Format: PDF, ePub
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This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms. The third part proposes new systems that bring more advantages together.

Reverse Mathematics 2001

Author: Stephen George Simpson
Publisher: A K Peters Ltd
ISBN: 9781568812632
Size: 29.11 MB
Format: PDF, Docs
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Reverse Mathematics is a program of research in the foundations of mathematics, motivated by the foundational questions of what are appropriate axioms for mathematics, and what are the logical strengths of particular axioms and particular theorems. The book contains 24 original papers by leading researchers. These articles exhibit the exciting recent developments in reverse mathematics and subsystems of second order arithmetic.