On the Foundations of Conflict-Driven Solving for Hybrid MKNF Knowledge Bases
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910791308935168 |
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| author | Kinahan, Riley Killen, Spencer Wan, Kevin You, Jia-Huai |
| author_facet | Kinahan, Riley Killen, Spencer Wan, Kevin You, Jia-Huai |
| contents | Hybrid MKNF Knowledge Bases (HMKNF-KBs) constitute a formalism for tightly integrated reasoning over closed-world rules and open-world ontologies. This approach allows for accurate modeling of real-world systems, which often rely on both categorical and normative reasoning. Conflict-driven solving is the leading approach for computationally hard problems, such as satisfiability (SAT) and answer set programming (ASP), in which MKNF is rooted. This paper investigates the theoretical underpinnings required for a conflict-driven solver of HMKNF-KBs. The approach defines a set of completion and loop formulas, whose satisfaction characterizes MKNF models. This forms the basis for a set of nogoods, which in turn can be used as the backbone for a conflict-driven solver. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_09626 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Foundations of Conflict-Driven Solving for Hybrid MKNF Knowledge Bases Kinahan, Riley Killen, Spencer Wan, Kevin You, Jia-Huai Artificial Intelligence I.2.4 Hybrid MKNF Knowledge Bases (HMKNF-KBs) constitute a formalism for tightly integrated reasoning over closed-world rules and open-world ontologies. This approach allows for accurate modeling of real-world systems, which often rely on both categorical and normative reasoning. Conflict-driven solving is the leading approach for computationally hard problems, such as satisfiability (SAT) and answer set programming (ASP), in which MKNF is rooted. This paper investigates the theoretical underpinnings required for a conflict-driven solver of HMKNF-KBs. The approach defines a set of completion and loop formulas, whose satisfaction characterizes MKNF models. This forms the basis for a set of nogoods, which in turn can be used as the backbone for a conflict-driven solver. |
| title | On the Foundations of Conflict-Driven Solving for Hybrid MKNF Knowledge Bases |
| topic | Artificial Intelligence I.2.4 |
| url | https://arxiv.org/abs/2408.09626 |