Abstract
In a range of contexts, one comes across processes resembling inference, but where input propositions are not in general included among outputs, and the operation is not in any way reversible. Examples arise in contexts of conditional obligations, goals, ideals, preferences, actions, and beliefs. Our purpose is to develop a theory of such input/output operations. Four are singled out: simple-minded, basic (making intelligent use of disjunctive inputs), simple-minded reusable (in which outputs may be recycled as inputs), and basic reusable. They are defined semantically and characterised by derivation rules, as well as in terms of relabeling procedures and modal operators. Their behaviour is studied on both semantic and syntactic levels.
Similar content being viewed by others
REFERENCES
Makinson, D., 1999. On a fundamental problem of deontic logic, in Norms, Logics and Information Systems. New Studies in Deontic Logic and Computer Science 49, P. Mc-Namara and H. Prakken (eds.), Frontiers in Artificial Intelligence and Applications, IOS Press, Amsterdam, pp. 29–53.
Makinson, D., 1994. General patterns in nonmonotonic reasoning, in Handbook of Logic in Artificial Intelligence and Logic Programming, Vol. 3, Gabbay, Hogger and Robinson (eds.), Oxford University Press, pp. 35–110.
Makinson, D. and L. van der Torre, (to appear). Constraints for input/output logics.
Reiter, R., 1980. A logic for default reasoning, Artificial Intelligence 13: 81–132.
van der Torre, L. W. N., 1997. Reasoning about Obligations: Defeasibility in Preference-Based Deontic Logic, Ph.D. Thesis, Erasmus University of Rotterdam. Tinbergen Institute Research Series n∘ 140. Thesis Publishers: Amsterdam.
van der Torre, L. W. N., 1998. Phased labeled logics of conditional goals, Logics in Artificial Intelligence. Proceedings of the Sixth European Workshop on Logics in AI (JELIA'98). Lecture Notes in Comput. Sci. 1489, Springer, Berlin, pp. 92–106.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Makinson, D., van der Torre, L. Input/Output Logics. Journal of Philosophical Logic 29, 383–408 (2000). https://doi.org/10.1023/A:1004748624537
Issue Date:
DOI: https://doi.org/10.1023/A:1004748624537