Functional Interpretation Of Logical Deduction, The
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A01=Anjolina G De Oliveira
A01=Dov M Gabbay
A01=Ruy J G B De Queiroz
Author_Anjolina G De Oliveira
Author_Dov M Gabbay
Author_Ruy J G B De Queiroz
Category=UYA
Curry-Howard Interpretation
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Functional Interpretation
Labelled Deduction
Natural Deduction
Proof Theory
Product details
- ISBN 9789814360951
- Publication Date: 02 Nov 2011
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an ‘enriched’ system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing ‘labels’ is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.
