New Algebraic Normative Theories for Ethical and Legal Reasoning in the LogiKEy Framework

• URL: http://arxiv.org/abs/2107.11838v1
• Date: Sun, 25 Jul 2021 16:33:07 GMT
• Title: New Algebraic Normative Theories for Ethical and Legal Reasoning in the LogiKEy Framework
• Authors: Ali Farjami
• Abstract summary: We introduce LogiKEy methodology based on semantical embedding of deontic logics into classic higher-order logic. We considerably extend the LogiKEy deontic logics and dataset using an algebraic approach.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: To design and engineer ethical and legal reasoners and responsible systems, Benzm\"{u}ller, Parent and van der Torre introduce LogiKEy methodology based on the semantical embedding of deontic logics into classic higher-order logic. In this paper, we considerably extend the LogiKEy deontic logics and dataset using an algebraic approach. We develop theory of input/output operations for normative reasoning on top of Boolean algebras.

Related papers

• Explaining Non-monotonic Normative Reasoning using Argumentation Theory with Deontic Logic [7.162465547358201]
  This paper explores how to provide designers with effective explanations for their legally relevant design decisions. We extend the previous system for providing explanations by specifying norms and the key legal or ethical principles for justifying actions in normative contexts. Considering that first-order logic has strong expressive power, in the current paper we adopt a first-order deontic logic system with deontic operators and preferences.
  arXiv  Detail & Related papers  (2024-09-18T08:03:29Z)
• An Encoding of Abstract Dialectical Frameworks into Higher-Order Logic [57.24311218570012]
  This approach allows for the computer-assisted analysis of abstract dialectical frameworks. Exemplary applications include the formal analysis and verification of meta-theoretical properties.
  arXiv  Detail & Related papers  (2023-12-08T09:32:26Z)
• Discourse-Aware Graph Networks for Textual Logical Reasoning [142.0097357999134]
  Passage-level logical relations represent entailment or contradiction between propositional units (e.g., a concluding sentence) We propose logic structural-constraint modeling to solve the logical reasoning QA and introduce discourse-aware graph networks (DAGNs) The networks first construct logic graphs leveraging in-line discourse connectives and generic logic theories, then learn logic representations by end-to-end evolving the logic relations with an edge-reasoning mechanism and updating the graph features.
  arXiv  Detail & Related papers  (2022-07-04T14:38:49Z)
• An Extensible Logic Embedding Tool for Lightweight Non-Classical Reasoning [91.3755431537592]
  The logic embedding tool provides a procedural encoding for non-classical reasoning problems into classical higher-order logic. It can support an increasing number of different non-classical logics as reasoning targets.
  arXiv  Detail & Related papers  (2022-03-23T12:08:51Z)
• Modeling and Automating Public Announcement Logic with Relativized Common Knowledge as a Fragment of HOL in LogiKEy [0.0]
  This article presents a semantical embedding for public announcement logic with relativized common knowledge. It enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic. The work constitutes an important addition to the pluralist LogiKEy knowledge engineering methodology.
  arXiv  Detail & Related papers  (2021-11-02T15:14:52Z)
• A Formalisation of Abstract Argumentation in Higher-Order Logic [77.34726150561087]
  We present an approach for representing abstract argumentation frameworks based on an encoding into classical higher-order logic. This provides a uniform framework for computer-assisted assessment of abstract argumentation frameworks using interactive and automated reasoning tools.
  arXiv  Detail & Related papers  (2021-10-18T10:45:59Z)
• Logic-Driven Context Extension and Data Augmentation for Logical Reasoning of Text [65.24325614642223]
  We propose to understand logical symbols and expressions in the text to arrive at the answer. Based on such logical information, we put forward a context extension framework and a data augmentation algorithm. Our method achieves the state-of-the-art performance, and both logic-driven context extension framework and data augmentation algorithm can help improve the accuracy.
  arXiv  Detail & Related papers  (2021-05-08T10:09:36Z)
• RNNLogic: Learning Logic Rules for Reasoning on Knowledge Graphs [91.71504177786792]
  This paper studies learning logic rules for reasoning on knowledge graphs. Logic rules provide interpretable explanations when used for prediction as well as being able to generalize to other tasks. Existing methods either suffer from the problem of searching in a large search space or ineffective optimization due to sparse rewards.
  arXiv  Detail & Related papers  (2020-10-08T14:47:02Z)
• Public Announcement Logic in HOL [0.0]
  shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.
  arXiv  Detail & Related papers  (2020-10-02T06:46:02Z)
• Modelling Value-oriented Legal Reasoning in LogiKEy [0.0]
  We show how LogiKEy can harness interactive and automated theorem proving technology to provide a testbed for the development and formal verification of legal domain-specific languages and theories. We establish novel bridges between latest research in knowledge representation and reasoning in non-classical logics, automated theorem proving, and applications in legal reasoning.
  arXiv  Detail & Related papers  (2020-06-23T06:57:15Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.