formal-framework

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#formal-framework

Determinization in Structure Theories: A Unified Framework via Closure, Comparability, and Joint Admissibility

arXiv cs.AI · 2026-08-11 Cached

This paper presents a formal framework for constructing canonical interpretations from plural structure theories, motivated by structural failures in LLM-assisted reasoning. It distinguishes types of non-determinism and provides conditions for licensed canonicalization, without establishing full determinization for all cases.

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#formal-framework

A Formal Framework for Declarative Agentic AI in Business Process Analysis

arXiv cs.AI · 2026-06-16 Cached

This paper presents a formal framework for agentic business process analysis using the AGO methodology, defining agents, goals, and objects with formal precision to enable verifiable knowledge bases for agentic AI.

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#formal-framework

QUIVER: A Formal Framework for Quantifying Perturbation Propagation and Bifurcation in Compound AI Systems

arXiv cs.AI · 2026-05-26 Cached

QUIVER introduces a formal framework for quantifying how perturbations propagate through compound AI systems structured as computation graphs, defining sensitivity matrices, trajectory divergence, bifurcation thresholds, and distribution faithfulness, with validation on production and public pipelines.

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#formal-framework

Discoverable Agent Knowledge -- A Formal Framework for Agentic KG Affordances (Extended Version)

arXiv cs.AI · 2026-05-20 Cached

This extended paper revisits Semantic Web Services insights for Knowledge Graphs, proposing a four-dimensional formal framework and an Agentic Affordance Profile (AAP) to enable principled KG selection, composition, and failure diagnosis at agent planning time.

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