Abstract
A-closure on a set of functions of many-valued logic is defined as the closure with respect to the operations of superposition and transition to dual functions with respect to permutations of the alternating group. The class I k of idempotent functions for k⩾5 is one of two, and for k=4 is one of four A-precomplete classes in P k . We define 12 types of standard relations over the set E k which are called basic. We prove that any A-closed class of functions in I k which is defined by arbitrary binary relations can be also specified by means of a suitable set of basic relations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
