Some remarks on proof-theoretic semantics
Abstract
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.
Citation
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_5 conference
Publication
Advances in Proof-Theoretic Semantics
Status
Peer reviewed
ISSN
1572-6126Type
Book item
Rights
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.
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