Ultravaluations and their Applications in CPL\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textsf{CPL}$$\end{document}

被引:0
作者
Krzysztof A. Krawczyk
Bożena Piȩta
机构
[1] Jagiellonian University,Doctoral School in Humanities, Department of Logic, Faculty of Philosophy, Institute of Philosophy
关键词
Ultravaluations; Classical propositional logic; Ultraproduct; Compactness; Definability; Primary 03C20; Secondary 03B05;
D O I
10.1007/s11787-023-00329-9
中图分类号
学科分类号
摘要
This paper introduces the construct of an ultravaluation inspired by the well-known ultraproduct. Basic properties and exemplary applications of this notion are shown: for compactness and definability theorems. We also use ultravaluations to check failure of compactness and undefinability.
引用
收藏
页码:259 / 267
页数:8
相关论文
共 2 条
[1]  
Krawczyk KA(2022)Three model-theoretic constructions for generalised Epstein semantics Rev. Symb. Log. 15 1023-1032
[2]  
Schlechta K(1992)Some results on classical preferential models J. Log. Comput. 2 675-686