Document Type
Article
Publication Date
2014
Abstract
The present paper provides an analysis of the existing proof systems for dynamic epistemic logic from the viewpoint of proof-theoretic semantics. Dynamic epistemic logic is one of the best known members of a family of logical systems which have been successfully applied to diverse scientific disciplines, but the proof theoretic treatment of which presents many difficulties. After an illustration of the proof-theoretic semantic principles most relevant to the treatment of logical connectives, we turn to illustrating the main features of display calculi, a proof-theoretic paradigm which has been successfully employed to give a proof-theoretic semantic account of modal and substructural logics. Then, we review some of the most significant proposals of proof systems for dynamic epistemic logics, and we critically reflect on them in the light of the previously introduced proof-theoretic semantic principles. The contributions of the present paper include a generalisation of Belnap’s cut elimination metatheorem for display calculi, and a revised version of the display-style calculus D.EAK [30]. We verify that the revised version satisfies the previously mentioned proof-theoretic semantic principles, and show that it enjoys cut elimination as a consequence of the generalised metatheorem.
Recommended Citation
S. Frittella, G. Greco, A. Kurz, A. Palmigiano, and V. Sikimić, “A proof-theoretic semantic analysis of dynamic epistemic logic,” Journal of Logic and Computation, vol. 26, no. 6, pp. 1961–2015, Dec. 2016. DOI: 10.1093/logcom/exu063
Copyright
Oxford University Press
Included in
Algebra Commons, Logic and Foundations Commons, Other Computer Engineering Commons, Other Computer Sciences Commons, Other Mathematics Commons
Comments
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Journal of Logic and Computation following peer review. The definitive publisher-authenticated version
S. Frittella, G. Greco, A. Kurz, A. Palmigiano, and V. Sikimić, “A proof-theoretic semantic analysis of dynamic epistemic logic,” Journal of Logic and Computation, vol. 26, no. 6, pp. 1961–2015, Dec. 2016.
is available online at DOI: 10.1093/logcom/exu063