Streamlining Input/Output Logics with Sequent Calculi
Logic in Computer Science
2023-06-19 v1
Abstract
Input/Output (I/O) logic is a general framework for reasoning about conditional norms and/or causal relations. We streamline Bochman's causal I/O logics via proof-search-oriented sequent calculi. Our calculi establish a natural syntactic link between the derivability in these logics and in the original I/O logics. As a consequence of our results, we obtain new, simple semantics for all these logics, complexity bounds, embeddings into normal modal logics, and efficient deduction methods. Our work encompasses many scattered results and provides uniform solutions to various unresolved problems.
Cite
@article{arxiv.2306.09496,
title = {Streamlining Input/Output Logics with Sequent Calculi},
author = {Agata Ciabattoni and Dmitry Rozplokhas},
journal= {arXiv preprint arXiv:2306.09496},
year = {2023}
}