Overview
This monograph provides a thorough account of the model theory, proof theory and computational interpretations of BI, the logic of bunched implications, which freely combines intuitionistic logic and multiplicative intuitionistic linear logic. Starting, on the one hand, from elementary observations about modelling resources and, on the other, from a desire to develop a system of logic within which additive (or extensional) and multiplicative (or intentional) implications co-exist with equal logical status, the book gives natural deduction, l-calculi, sequent calculus, categorical semantics, Kripke models, topological models, logical relations and computational interpretations for both propositional and predicate BI, within which both additive and multiplicative quantifiers also co-exist.
Full Product Details
Author: David J. Pym
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: 2002 ed.
Volume: 26
Dimensions:
Width: 15.50cm
, Height: 2.00cm
, Length: 23.50cm
Weight: 1.450kg
ISBN: 9781402007453
ISBN 10: 1402007450
Pages: 290
Publication Date: 31 July 2002
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews: This monograph presents a mathematical theory of the logic of BI ... . Due to the author's clear and approachable style this book may be interesting to a large circle of logicians, mathematicians and computer scientists. In particular, it could be useful to graduate students, specialists and researchers in the field of applications of logic in programming. In addition to its other qualities, this book also presents a significant contribution to a new area of mathematical logic-fibring logic ... . (Branislav Boricic, Mathematical Reviews, Issue 2008 i)
From the reviews: <p> This monograph presents a mathematical theory of the logic of BI a ] . Due to the authora (TM)s clear and approachable style this book may be interesting to a large circle of logicians, mathematicians and computer scientists. In particular, it could be useful to graduate students, specialists and researchers in the field of applications of logic in programming. In addition to its other qualities, this book also presents a significant contribution to a new area of mathematical logica fibring logic a ] .a (Branislav Boricic, Mathematical Reviews, Issue 2008 i)
From the reviews: This monograph presents a mathematical theory of the logic of BI ... . Due to the author's clear and approachable style this book may be interesting to a large circle of logicians, mathematicians and computer scientists. In particular, it could be useful to graduate students, specialists and researchers in the field of applications of logic in programming. In addition to its other qualities, this book also presents a significant contribution to a new area of mathematical logic-fibring logic ... . (Branislav Boricic, Mathematical Reviews, Issue 2008 i)
