Abstract
Discursive reasoning is based on the nature of our ordinary discourse. Namely, several participants exist and have some information, beliefs, and others. Then, truth is formalized by means of the sum of opinions supplied by participants in discursive reasoning. Even if each participant has consistent information, some participant could be inconsistent with other participants. We propose a constructive discursive logic with strong negation CDLSN based on Nelson’s constructive logic N − as a refinement of Jaskowski’s discursive logic. We give an axiomatic system and Kripke semantics with a completeness proof. We also discuss some applications in decision making.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akama, S.: Constructive predicate logic with strong negation and model theory. Notre Dame Journal of Formal Logic 29, 18–27 (1988)
Almukdad, A., Nelson, D.: Constructible falsity and inexact predicates. Journal of Symbolic Logic 49, 231–233 (1984)
da Costa, N.C.A., Dubikajtis, L.: On Jaskowski’s discursive logic. In: Arruda, A.I., da Costa, N.C.A., Chuaqui, R. (eds.) Non-Classical Logics, Model Theory and Computability, pp. 37–56. North-Holland, Amsterdam (1977)
Jaskowski, S.: Propositional calculus for contradictory deductive systems. Studia Societatis Scientiarun Torunesis, Sectio A 1, 55–77 (1948) (in Polish)
Jaskowski, S.: On the discursive conjunction in the propositional calculus for inconsistent deductive systems. Studia Societatis Scientiarun Torunesis, Sectio A 8, 171–172 (1949) (in Polish)
Kotas, J.: The axiomatization of S. Jaskowski’s discursive logic. Studia Logica 33, 195–200 (1974)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Akama, S., Nakamatsu, K., Abe, J.M. (2010). Constructive Discursive Reasoning. In: Setchi, R., Jordanov, I., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2010. Lecture Notes in Computer Science(), vol 6278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15393-8_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-15393-8_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15392-1
Online ISBN: 978-3-642-15393-8
eBook Packages: Computer ScienceComputer Science (R0)