VARIETIES EQUIVALENT TO IMPLICATIVE FRAGMENTS OF THE CLASSICAL LOGIC

VARIETIES EQUIVALENT TO IMPLICATIVE FRAGMENTS OF THE CLASSICAL LOGIC | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 3 March 2026 V1 Latest version Share on VARIETIES EQUIVALENT TO IMPLICATIVE FRAGMENTS OF THE CLASSICAL LOGIC Author : Alexej P. Pynko 0000-0002-3478-9850 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177255512.23620210/v1 114 views 79 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The main result of the work is equivalence of any (purely) implicative fragment of the classical logic to the [quasi-]variety generated by the underlying algebra of any consistent two-valued model of the fragment, in which case the variety is semi-simple without non-two-element/non-isomorphic sub-directly-irreducibles as well as implicative, and so has REDPC and is congruence-distributive (but not congruence-permutable). Supplementary Material File (impl-pc-cp-au.pdf) Download 198.20 KB Information & Authors Information Version history V1 Version 1 03 March 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords algebra logic matrix model variety Authors Affiliations Alexej P. Pynko 0000-0002-3478-9850 [email protected] Department of Digital Automata Theory (100), V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine View all articles by this author Metrics & Citations Metrics Article Usage 114 views 79 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Alexej P. Pynko. VARIETIES EQUIVALENT TO IMPLICATIVE FRAGMENTS OF THE CLASSICAL LOGIC. Authorea . 03 March 2026. DOI: https://doi.org/10.22541/au.177255512.23620210/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. 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