FUNCTIONAL INTERPRETATION OF LOGICAL DEDUCTION, THE: 5 (Advances In Logic) - Hardcover

DE OLIVEIRA ANJOLINA G ET AL

Hardcover

ISBN 10: 9814360953 ISBN 13: 9789814360951

Publisher: World Scientific Publishing Company, 2011

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.

About this title

From the Back Cover

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 of 'labels' is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2011
• Language: English
• ISBN 10: 9814360953
• ISBN 13: 9789814360951
• Binding: Hardcover
• Number of pages: 300