A Primer for Preferential Non-Monotonic Propositional Team Logics

• URL: http://arxiv.org/abs/2405.06973v1
• Date: Sat, 11 May 2024 09:53:15 GMT
• Title: A Primer for Preferential Non-Monotonic Propositional Team Logics
• Authors: Kai Sauerwald, Juha Kontinen,
• Abstract summary: We show that team-based propositional logics naturally give rise to cumulative non-monotonic entailment relations. Motivated by the non-classical interpretation of disjunction in team semantics, we give a precise characterization for preferential models for propositional dependence logic.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This paper considers KLM-style preferential non-monotonic reasoning in the setting of propositional team semantics. We show that team-based propositional logics naturally give rise to cumulative non-monotonic entailment relations. Motivated by the non-classical interpretation of disjunction in team semantics, we give a precise characterization for preferential models for propositional dependence logic satisfying all of System P postulates. Furthermore, we show how classical entailment and dependence logic entailment can be expressed in terms of non-trivial preferential models.

Related papers

• A Note on an Inferentialist Approach to Resource Semantics [48.65926948745294]
  'Inferentialism' is the view that meaning is given in terms of inferential behaviour. This paper shows how 'inferentialism' enables a versatile and expressive framework for resource semantics.
  arXiv  Detail & Related papers  (2024-05-10T14:13:21Z)
• 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)
• Modeling Hierarchical Reasoning Chains by Linking Discourse Units and Key Phrases for Reading Comprehension [80.99865844249106]
  We propose a holistic graph network (HGN) which deals with context at both discourse level and word level, as the basis for logical reasoning. Specifically, node-level and type-level relations, which can be interpreted as bridges in the reasoning process, are modeled by a hierarchical interaction mechanism.
  arXiv  Detail & Related papers  (2023-06-21T07:34:27Z)
• Non-Deterministic Approximation Fixpoint Theory and Its Application in Disjunctive Logic Programming [11.215352918313577]
  Approximation fixpoint theory is a framework for studying the semantics of nonmonotonic logics. We extend AFT to dealing with non-deterministic constructs that allow to handle indefinite information. The applicability and usefulness of this generalization is illustrated in the context of disjunctive logic programming.
  arXiv  Detail & Related papers  (2022-11-30T18:58:32Z)
• 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)
• 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)
• A conditional, a fuzzy and a probabilistic interpretation of self-organising maps [0.0]
  We establish a link between preferential semantics for description logics and self-organising maps. We show that a concept-wise multipreference semantics can be used to provide a logical interpretation of SOMs.
  arXiv  Detail & Related papers  (2021-03-11T18:31:00Z)
• Measuring Association Between Labels and Free-Text Rationales [60.58672852655487]
  In interpretable NLP, we require faithful rationales that reflect the model's decision-making process for an explained instance. We demonstrate that pipelines, existing models for faithful extractive rationalization on information-extraction style tasks, do not extend as reliably to "reasoning" tasks requiring free-text rationales. We turn to models that jointly predict and rationalize, a class of widely used high-performance models for free-text rationalization whose faithfulness is not yet established.
  arXiv  Detail & Related papers  (2020-10-24T03:40:56Z)
• Sequent-Type Calculi for Systems of Nonmonotonic Paraconsistent Logics [2.627046865670577]
  We introduce uniform axiomatisations for a family of nonmonotonic paraconsistent logics based on minimal inconsistency in terms of sequent-type proof systems. We provide sequent-type calculi for Priest's three-valued minimally inconsistent logic of paradox, and for four-valued paraconsistent inference relations due to Arieli and Avron.
  arXiv  Detail & Related papers  (2020-09-22T00:49:52Z)
• On a plausible concept-wise multipreference semantics and its relations with self-organising maps [0.0]
  We argue that this proposal satisfies some desired properties, such as KLM, and avoids the drowning problem. We motivate the plausibility of the concept-wise multi-preference semantics by developing a logical semantics of self-organising maps.
  arXiv  Detail & Related papers  (2020-08-30T21:06:06Z)
• Reasoning about Typicality and Probabilities in Preferential Description Logics [0.15749416770494704]
  We describe preferential Description Logics of typicality, a nonmonotonic extension of standard Description Logics by means of a typicality operator T. This extension is based on a minimal model semantics corresponding to a notion of rational closure. We consider other strengthening of the rational closure semantics and construction to avoid the so-called blocking of property inheritance problem.
  arXiv  Detail & Related papers  (2020-04-20T14:50:31Z)

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.