Model-Theoretic Logic for Mathematical Theory of Semantic Information and Communication

• DOI: 10.48550/arxiv.2401.17556
• Publication Date: 2024-01-30
• Authors: Ahmet Faruk Saz; Siheng Xiong; Yashas Malur Said...; Faramarz Fekri
• Keywords: Abstract model theory

In this paper, we propose an advancement to Tarskian model-theoretic semantics, leading a unified quantitative theory of semantic information and communication. We start with description inductive logic probabilities, which serve as notable tools in development the proposed theory. Then, identify two disparate kinds uncertainty communication, that physical content, present refined interpretations measures, conclude proposing new measure for content-information entropy. Our proposition standardizes across different universes systems, hence bringing measurability comparability into then proceed introducing conditional mutual cont-information measures point out their utility formulating practical optimizable lossless lossy compression objectives. Finally, experimentally demonstrate value our theoretical propositions.