The Downward Transfer of Elementary Satisfiability of Partition Logics
Enshao Shen, Yijia Chen
Abstract
Enshao Shen, Yijia Chen
Abstract
We introduce a notion of pseudo-reachability in Gaifman graphs and suggest a graph-theoretic and uniform approach to the Löwenheim-Skolem-Tarski Theorems for partition logics as well as logics with general Malitz quantifiers.
OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We introduce a notion of pseudo-reachability in Gaifman graphs and suggest a graph-theoretic and uniform approach to the Löwenheim-Skolem-Tarski Theorems for partition logics as well as logics with general Malitz quantifiers.
Key concepts: Mathematics, Reachability, Partition (number theory), Satisfiability, Transfer (computing), Discrete mathematics, Boolean satisfiability problem, Graph