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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
    Also in:
    Mathematical theory of computation

    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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