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Books > Computing & IT > General theory of computing > Mathematical theory of computation
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The Semantics and Proof Theory of the Logic of Bunched Implications (Hardcover, 2002 ed.)
Loot Price: R4,768
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The Semantics and Proof Theory of the Logic of Bunched Implications (Hardcover, 2002 ed.)
Series: Applied Logic Series, 26
Expected to ship within 10 - 15 working days
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This is a monograph about logic. Specifically, it presents the
mathe matical theory of the logic of bunched implications, BI: I
consider Bl's proof theory, model theory and computation theory.
However, the mono graph is also about informatics in a sense which
I explain. Specifically, it is about mathematical models of
resources and logics for reasoning about resources. I begin with an
introduction which presents my (background) view of logic from the
point of view of informatics, paying particular attention to three
logical topics which have arisen from the development of logic
within informatics: * Resources as a basis for semantics; *
Proof-search as a basis for reasoning; and * The theory of
representation of object-logics in a meta-logic. The ensuing
development represents a logical theory which draws upon the
mathematical, philosophical and computational aspects of logic.
Part I presents the logical theory of propositional BI, together
with a computational interpretation. Part II presents a
corresponding devel opment for predicate BI. In both parts, I
develop proof-, model- and type-theoretic analyses. I also provide
semantically-motivated compu tational perspectives, so beginning a
mathematical theory of resources. I have not included any analysis,
beyond conjecture, of properties such as decidability, finite
models, games or complexity. I prefer to leave these matters to
other occasions, perhaps in broader contexts.
General
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