INTRINSIC VARIETIES VERSUS SIMPLE MODELS. APPLICATIONS TO SELF-EXTENSIONALITY

INTRINSIC VARIETIES VERSUS SIMPLE MODELS. APPLICATIONS TO SELF-EXTENSIONALITY | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 21 January 2026 V1 Latest version Share on INTRINSIC VARIETIES VERSUS SIMPLE MODELS. APPLICATIONS TO SELF-EXTENSIONALITY Author : Alexej P. Pynko 0000-0002-3478-9850 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176903356.67164975/v1 84 views 63 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The key observation, based upon Mal'cev Principal Congruence Lemma, is membership of the underlying algebras of simple models of any logic in its intrinsic variety, in which case the intrinsic variety of the logic of any class of simple matrices (more specifically, those with equality determinant) is generated by the class of the underlying algebras of members of the matrix class, and so the intrinsic variety of any logic is generated by the class of the underlying algebras of its simple models. This universal elaboration is then applied to [{ effective }] characterizing self-extensionality of [conjunctive disjunctive] {finitely-valued} logics with finitely many connectives [{in particular, four-valued expansions of FDE by finitely many connectives }]. Supplementary Material File (iv-sm-au.pdf) Download 193.04 KB Information & Authors Information Version history V1 Version 1 21 January 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords congruence 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 84 views 63 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Alexej P. Pynko. INTRINSIC VARIETIES VERSUS SIMPLE MODELS. APPLICATIONS TO SELF-EXTENSIONALITY. 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