Rationality, transitivity, and contraposition

✍ Scribed by Michael Freund; Daniel Lehmann; Paul Morris

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 621 KB
• Volume: 52
• Category: Article
• ISSN: 0004-3702
• DOI: 10.1016/0004-3702(91)90043-j

✦ Synopsis

The purpose of this note is to compare the rule of Rational Monotonicity proposed in [3] and different rules expressing some weak forms of Transitivity and Contraposition. We present four weak forms of Transitivity that, in preferential logic, are equivalent to Rational Monotonicity and a weak form of Contraposition that is strictly weaker than Rational Monotonicity but equivalent to it in the presence of Disjunctive Rationality.