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Book Synopsis
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.

Functional Interpretation Of Logical Deduction,

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    A Hardback by Anjolina G De Oliveira, Dov M Gabbay, Ruy J G B De Queiroz

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      View other formats and editions of Functional Interpretation Of Logical Deduction, by Anjolina G De Oliveira

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 02/11/2011
      ISBN13: 9789814360951, 978-9814360951
      ISBN10: 9814360953

      Description

      Book Synopsis
      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.

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