Conditional Inference under Disjunctive Rationality

Authors: Richard Booth, Ivan Varzinczak6227-6234

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Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper, we propose a solution to this question and explore some of its properties. Theorem 1 A defeasible consequence relation | is disjunctive if and only if there is I such that | = | I . Proposition 1 Given KB, (i) the disjunctive closure of KB coincides with its preferential closure | KB P C. (ii) There exists KB such that | KB P C does not satisfy DR. Theorem 2 There is no method satisfying all of Inclusion, D-Rationality, Equivalence, Vacuity, Cautious Monotonicity and Negated Representation Independence.
Researcher Affiliation Academia Richard Booth1 Ivan Varzinczak2,3,4 1 Cardiff University, United Kingdom 2 CRIL, Univ. Artois & CNRS, France 3 CAIR, Computer Science Division, Stellenbosch University, South Africa 4 ISTI-CNR, Italy
Pseudocode No The paper does not contain any pseudocode or algorithm blocks.
Open Source Code No The paper does not mention providing open-source code for the described methodology.
Open Datasets No The paper is theoretical and does not mention the use of datasets for training or evaluation.
Dataset Splits No The paper is theoretical and does not provide information about training, validation, or test dataset splits.
Hardware Specification No The paper is theoretical and does not specify any hardware used for experiments.
Software Dependencies No The paper is theoretical and does not specify any software dependencies with version numbers.
Experiment Setup No The paper is theoretical and does not describe an experimental setup.