First-order modal logic (FML) models lack robust verification frameworks, hindering their application in formal reasoning systems. This work introduces a deep and shallow embedding methodology for FML in Isabelle/HOL, enabling automated faithfulness checks. Formal verification tools in autonomous systems and software development will need to integrate such embeddings to ensure correctness and reliability.
“arXiv:2607.10880v2 Announce Type: replace Abstract: We extend, in Isabelle/HOL, the deep-and-shallow embedding methodology of our prior work from propositional to first-order modal logic (FML) with constant-domain Kripke semantics. Three em…”
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ENTITY
Isabelle/HOL, First-Order Modal Logic, Kripke semantics
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LAST OBSERVED
Jul 24, 2026