The Semantics and Proof Theory of the Logic of Bunched Implications is popular PDF and ePub book, written by David J. Pym in 2013-04-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Semantics and Proof Theory of the Logic of Bunched Implications can be Read Online from any device for your convenience.
The Semantics and Proof Theory of the Logic of Bunched Implications Book PDF Summary
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.
Detail Book of The Semantics and Proof Theory of the Logic of Bunched Implications PDF
- Author : David J. Pym
- Release : 17 April 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401700917
- Genre : Mathematics
- Total Page : 323 pages
- Language : English
- PDF File Size : 8,7 Mb
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