Conditional syntax splitting for non-monotonic inference operators

J Heyninck, G Kern-Isberner, T Meyer… - Proceedings of the …, 2023 - ojs.aaai.org
Abstract Syntax splitting is a property of inductive inference operators that ensures we can
restrict our attention to parts of the conditional belief base that share atoms with a given …

Properties and interrelationships of skeptical, weakly skeptical, and credulous inference induced by classes of minimal models

C Beierle, C Eichhorn, G Kern-Isberner, S Kutsch - Artificial Intelligence, 2021 - Elsevier
There are multiple ways of defining nonmonotonic inference relations based on a
conditional knowledge base. While the axiomatic system P is an important standard for such …

Nonmonotonic reasoning from conditional knowledge bases with system W

C Komo, C Beierle - Annals of Mathematics and Artificial Intelligence, 2022 - Springer
For nonmonotonic reasoning in the context of a knowledge base R containing conditionals
of the form If A then usually B, system P provides generally accepted axioms. Inference …

Syntax splitting and reasoning from weakly consistent conditional belief bases with c-inference

J Haldimann, C Beierle, G Kern-Isberner - International Symposium on …, 2024 - Springer
It has been shown that c-inference is an inductive inference operator, map** belief bases
to inference relations, that exhibits many desirable properties put forward for nonmonotonic …

Representing nonmonotonic inference based on c-representations as an SMT problem

M von Berg, A Sanin, C Beierle - European Conference on Symbolic and …, 2023 - Springer
As a semantics for conditional knowledge bases, ranking functions order possible worlds by
map** them to a degree of plausibility. c-Representations are special ranking functions …

Scaling up nonmonotonic c-inference via partial MaxSAT problems

M von Berg, A Sanin, C Beierle - International Symposium on Foundations …, 2024 - Springer
Ranking functions, also called ordinal conditional functions (OCF), provide a semantics for
conditionals by assigning a degree of implausibility to the underlying possible worlds. The …

CLKR: Conditional Logic and Knowledge Representation

C Beierle, J Haldimann, L Schwarzer - KI-Künstliche Intelligenz, 2024 - Springer
Abstract CLKR (Conditional Logic and Knowledge Representation) is an online repository of
conditional logic resources for knowledge representation and reasoning. The question …

[HTML][HTML] An implementation of nonmonotonic reasoning with c-representations using an SMT solver

M von Berg, A Sanin, C Beierle - International Journal of Approximate …, 2024 - Elsevier
A qualitative conditional “If A then usually B” establishes a plausible connection between the
antecedent A and the consequent B. As a semantics for conditional knowledge bases …

Inference with system W satisfies syntax splitting

J Haldimann, C Beierle - arxiv preprint arxiv:2202.05511, 2022 - arxiv.org
In this paper, we investigate inductive inference with system W from conditional belief bases
with respect to syntax splitting. The concept of syntax splitting for inductive inference states …

[PDF][PDF] Realization of c-inference as a SAT problem

C Beierle, M von Berg, A Sanin - The international FLAIRS …, 2022 - journals.flvc.org
Semantically based on Spohn's ranking functions, c-representations are special ranking
models obtained by assigning individual integer impacts to the conditionals in a knowledge …