An Encoding of Abstract Dialectical Frameworks into Higher-Order Logic

• URL: http://arxiv.org/abs/2312.08375v1
• Date: Fri, 8 Dec 2023 09:32:26 GMT
• Title: An Encoding of Abstract Dialectical Frameworks into Higher-Order Logic
• Authors: Antoine Martina, Alexander Steen
• Abstract summary: This approach allows for the computer-assisted analysis of abstract dialectical frameworks. Exemplary applications include the formal analysis and verification of meta-theoretical properties.
• Score: 57.24311218570012
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: An approach for encoding abstract dialectical frameworks and their semantics into classical higher-order logic is presented. Important properties and semantic relationships are formally encoded and proven using the proof assistant Isabelle/HOL. This approach allows for the computer-assisted analysis of abstract dialectical frameworks using automated and interactive reasoning tools within a uniform logic environment. Exemplary applications include the formal analysis and verification of meta-theoretical properties, and the generation of interpretations and extensions under specific semantic constraints.

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