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#mathematical-proof News & Analysis

2 articles tagged with #mathematical-proof. AI-curated summaries with sentiment analysis and key takeaways from 50+ sources.

2 articles
AINeutralarXiv – CS AI · Apr 107/10
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The Defense Trilemma: Why Prompt Injection Defense Wrappers Fail?

Researchers prove mathematically that no continuous input-preprocessing defense can simultaneously maintain utility, preserve model functionality, and guarantee safety against prompt injection attacks in language models with connected prompt spaces. The findings establish a fundamental trilemma showing that defenses must inevitably fail at some threshold inputs, with results verified in Lean 4 and validated empirically across three LLMs.

AINeutralarXiv – CS AI · Mar 53/10
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Maximin Share Guarantees via Limited Cost-Sensitive Sharing

Researchers present new theoretical frameworks for fair allocation of indivisible goods when limited sharing is allowed among agents. The study introduces cost-sensitive sharing mechanisms and proves that maximin share (MMS) allocations can be guaranteed under specific conditions, while also establishing new fairness concepts like Sharing Maximin Share (SMMS).

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