Some remarks on proof-theoretic semantics
MetadataShow full item record
This is a tripartite work. The first part is a brief discussion of what it is to be a logical constant, rejecting a view that allows a particular self-referential “constant” • to be such a thing in favour of a view that leads to strong normalisation results. The second part is a commentary on the flattened version of Modus Ponens, and its relationship with rules of type theory. The third part is a commentary on work (joint with Nissim Francez) on “general elimination rules” and harmony, with a retraction of one of the main ideas of that work, i.e. the use of “flattened” general elimination rules for situations with discharge of assumptions. We begin with some general background on general elimination rules.
Dyckhoff , R 2016 , Some remarks on proof-theoretic semantics . in T Piecha & P Schroeder-Heister (eds) , Advances in Proof-Theoretic Semantics . Trends in Logic , vol. 43 , Springer , pp. 79-93 , Second Conference on Proof-Theoretic Semantics , Tübingen , Germany , 8/03/13 . https://doi.org/10.1007/978-3-319-22686-6_5conference
Advances in Proof-Theoretic Semantics
Copyright the Authors 2016. This chapter is distributed under the terms of the Creative Commons Attribution Noncommercial License, which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.