Lindenbaum-type Logical Structures: Introduction and Characterization.
Sayantan Roy, Sankha S. Basu, Mihir K. Chakraborty · arXiv (Cornell University) · 2021
In this paper, we study some classes of logical structures from the universal logic standpoint, viz., those of the previously known Tarski-type, and the new Lindenbaum-type logical structures defined here. The characterization theorems for these logical structures have been proved as well. The following natural questions have been dealt with next. Is every Tarski-type logical structure also of Lindenbaum-type and/or vice-versa? Finally, we study the logical structures that are both of Tarski- and Lindenbaum-type, or of TL-type, and end with a characterization and a representation theorem for these.