The Functional Interpretation of Logical Deduction Anjolina G Oliveira

ISBN: 9781299672031

Published: May 10th 2014

ebook

299 pages


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The Functional Interpretation of Logical Deduction  by  Anjolina G Oliveira

The Functional Interpretation of Logical Deduction by Anjolina G Oliveira
May 10th 2014 | ebook | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 299 pages | ISBN: 9781299672031 | 5.45 Mb

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 harmonyMoreThis 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 Gabbays 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.Contents: Labelled Natural DeductionThe Functional Interpretation of ImplicationThe Existential QuantifierNormalisationNatural Deduction for EqualityNormalisation for the Equality FragmentModal LogicsMeaning and Proofs: A Reflection on Proof-Theoretic SemanticsReadership: Researchers, professionals, academics and graduate students in theoretical computer science, (analytic) philosophy, and logic and set theory.



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