Some Properties of a Lattice Generated by Implicational Logics

dc.contributor.author	NEGRU, Ion
dc.date.accessioned	2020-11-05T22:04:49Z
dc.date.available	2020-11-05T22:04:49Z
dc.date.issued	2018
dc.identifier.citation	NEGRU, Ion. Some Properties of a Lattice Generated by Implicational Logics. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, p. 98.	en_US
dc.identifier.uri	http://repository.utm.md/handle/5014/11173
dc.description	Only Abstract	en_US
dc.description.abstract	Consider the following implicational formulae: A1 = (p ⊃ p), A2 = (((p ⊃ p) ⊃ p) ⊃ p) = ((A1 ⊃ p) ⊃ p), …, Ai+1 = ((Ai ⊃ p) ⊃ p), …, (i = 1, 2, 3, …). Using these formulae (axioms), we may construct the following logics: L1 =< A2i >, L2 =< (A2i ⊃ A2i+1) >, L3 =< A2i−1 >, L4 =< (A2i−1 ⊃ A2i) >, i = 1, 2, 3, … viz. the logic L1 is generated by the axioms A2i, i = 1, 2, 3, ...; the process is analogous for logics L2, L3, L4.	en_US
dc.language.iso	en	en_US
dc.publisher	Bons Offices	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	implicational logics	en_US
dc.subject	lattices	en_US
dc.subject	properties	en_US
dc.title	Some Properties of a Lattice Generated by Implicational Logics	en_US
dc.type	Article	en_US