RAIRO-Theor. Inf. Appl.
Volume 56, 2022
|Number of page(s)||12|
|Published online||20 December 2022|
Almost all Classical Theorems are Intuitionistic
École Normale Supérieure de Lyon, LIP (UMR 5668 CNRS ENS Lyon UCBL),
46 allée d’Italie,
* Corresponding author: firstname.lastname@example.org
Accepted: 7 October 2022
Canonical expressions represent the implicative propositions (i.e., the propositions with only implications) up-to renaming of variables. Using a Monte-Carlo approach, we explore the model of canonical expressions in order to confirm the paradox that says that asymptotically almost all classical theorems are intuitionistic. Actually we found that more than 96.6% of classical theorems are intuitionistic among propositions of size 100.
Mathematics Subject Classification: 11B73 / 03F55 / 06E30 / 05-04 / 05-08
Key words: Intuitionistic logic / classical logic / combinatorics / asymptotic / random generation / Bell number / Catalan number / Monte-Carlo method
© The authors. Published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.