College Publications logo   College Publications title  
View Basket
Homepage Contact page
   
 
AiML
Academia Brasileira de Filosofia
Algorithmics
Cadernos de Lógica e Computação
Cadernos de Lógica e Filosofia
Cahiers de Logique et d'Epistemologie
Communication, Mind and Language
Computing
Cuadernos de lógica, Epistemología y Lenguaje
DEON
Dialogues
Economics
Encyclopaedia of Logic
Filosofia
Handbooks
Historia Logicae
IfColog series in Computational Logic
IfColog Lecture series
IfColog Proceedings
Journal of Applied Logics - IfCoLog Journal
About
Editorial Board
Scope of the Journal
Submissions
Forthcoming papers
Journals
Landscapes
Logics for New-Generation AI
Logic and Law
Logic and Semiotics
Logic PhDs
Logic, Methodology and Philosophy of Science
The Logica Yearbook
Neural Computing and Artificial Intelligence
Philosophy
Research
The SILFS series
Studies in Logic
Studies in Talmudic Logic
Systems
Texts in Logic and Reasoning
Texts in Mathematics
Tributes
Other
Digital Downloads
Information for authors
About us
Search for Books
 



Forthcoming papers


Back

Measuring Inconsistency in Finitary First-order Logic

John Grant

Since the early 2000s, researchers in logic and AI have developed a framework
for measuring inconsistency in information. They proposed inconsistency measures
as well as desirable properties for them and dealt with related issues. AI researchers
are interested in this topic because some intelligent systems need to handle inconsistencies.
However, the bulk of the research has been done for propositional knowledge
bases, that is, finite sets of formulas in propositional logic. But much of the information
that intelligent systems deal with, such as databases, use first-order logic formulas.
The purpose of this paper is to extend inconsistency measuring to finite sets of firstorder
logic formulas. We propose five different measures and explain the rationale for
each. Furthermore, we extend some of the properties proposed for propositional inconsistency
measures to first-order logic and introduce several new properties appropriate
for first-order logic. We show the satisfaction or violation of each property for each
measure.






© 2005–2022 College Publications / VFH webmaster