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ON THE NOTION OF CANONICAL DERIVATIONS FROM OPEN ASSUMPTIONS AND ITS ROLE IN PROOF-THEORETIC SEMANTICS

Published online by Cambridge University Press:  20 March 2015

NISSIM FRANCEZ
NISSIM FRANCEZ*
Affiliation:
Computer Science Department, Technion-IIT
*
*COMPUTER SCIENCE DEPARTMENT, TECHNION-IIT, HAIFA, ISRAEL E-mail:francez@cs.technion.ac.il
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Abstract

The paper proposes an extension of the definition of a canonical proof, central to proof-theoretic semantics, to a definition of a canonical derivation from open assumptions. The impact of the extension on the definition of (reified) proof-theoretic meaning of logical constants is discussed. The extended definition also sheds light on a puzzle regarding the definition of local-completeness of a natural-deduction proof-system, underlying its harmony.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 8 , Issue 2 , June 2015 , pp. 296 - 305
Copyright
Copyright © Association for Symbolic Logic 2015 

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