An ASP Approach to Generate Minimal Countermodels in Intuitionistic Propositional Logic
Abstract
Intuitionistic Propositional Logic is complete w.r.t. Kripke semantics: if a formula is not intuitionistically valid, then there exists a finite Kripke model falsifying it. The problem of obtaining concise models has been scarcely investigated in the literature. We present a procedure to generate minimal models in the number of worlds relying on Answer Set Programming (ASP).
Cite
Text
Fiorentini. "An ASP Approach to Generate Minimal Countermodels in Intuitionistic Propositional Logic." International Joint Conference on Artificial Intelligence, 2019. doi:10.24963/IJCAI.2019/232Markdown
[Fiorentini. "An ASP Approach to Generate Minimal Countermodels in Intuitionistic Propositional Logic." International Joint Conference on Artificial Intelligence, 2019.](https://mlanthology.org/ijcai/2019/fiorentini2019ijcai-asp/) doi:10.24963/IJCAI.2019/232BibTeX
@inproceedings{fiorentini2019ijcai-asp,
title = {{An ASP Approach to Generate Minimal Countermodels in Intuitionistic Propositional Logic}},
author = {Fiorentini, Camillo},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {2019},
pages = {1675-1681},
doi = {10.24963/IJCAI.2019/232},
url = {https://mlanthology.org/ijcai/2019/fiorentini2019ijcai-asp/}
}