Abstract
A subset M of a given basic algebra [Formula: see text] is MP-closed if a ∈ M and a → b ∈ M always imply b ∈ M for b ≤ a. We get a characterization of MP-closed subsets for commutative basic algebras in terms of closedness in the derived operation ⊙. If, moreover, the basic algebra is a chain, then a particular simple condition is derived. For basic algebras which are not commutative we derive only a closedness with respect to the deduction rule Modus Tollens.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
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 call
