ENGLISH

The Functional Interpretation of Logical Deduction

By Dov M. Gabbay , Ruy J. G. B. de Queiroz , Anjolina G. de Oliveira

Book information

Publisher
World Scientific
Year
2011
ISBN
9814360953, 9789814360951
Language
english
Format
PDF
Filesize
2 MB (1874945 bytes)
Series
Advances in Logic 5
Pages
299\299
Topic
Mathematics Logic
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2014-04-06 15:38:43

Description

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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