PulseAugur
EN
LIVE 00:46:45

AI plan existence problem proven undecidable in new research

By PulseAugur Editorial · [2 sources] ·

Researchers have proven that the plan existence problem in modal logic is undecidable. This problem involves determining if a sequence of epistemic actions can achieve a specified goal, given an initial state and a set of actions. The proof holds even when action preconditions have a modal depth of one and there are no postconditions, resolving a previously unknown question about the problem's decidability. AI

IMPACT Establishes theoretical limits for AI planning agents operating in epistemic domains.

RANK_REASON Academic paper published on arXiv detailing a theoretical proof.

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

AI plan existence problem proven undecidable in new research

How we ranked this

Signal score
0 / 100
Composite score across the factors below. Higher = stronger signal that this story matters right now.
Newsworthiness bucket
Research
Academic paper published on arXiv detailing a theoretical proof.
Source corroboration
2 independent sources
Multiple independent publishers reporting the same story raises confidence that it's real and newsworthy.
Topics
paper, other
Editorial topic classification. Feeds into how the story surfaces on /topic/<slug> hub pages and into the per-entity coverage mix.
AI-industry relevance
High
Clearly on-topic for AI-industry coverage.
Story freshness
155 days old
Aged out of breaking-news scoring windows; ranking reflects the durable signal from the full source set.

Full methodology in our editorial standards.

COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · Antonis Achilleos ·

    An Undecidability Proof for the Plan Existence Problem

    arXiv:2604.22736v1 Announce Type: cross Abstract: The plan existence problem asks, given a goal in the form of a formula in modal logic, an initial epistemic state (a pointed Kripke model), and a set of epistemic actions, whether there exists a sequence of actions that can be app…

  2. arXiv cs.AI TIER_1 English(EN) · Antonis Achilleos ·

    An Undecidability Proof for the Plan Existence Problem

    The plan existence problem asks, given a goal in the form of a formula in modal logic, an initial epistemic state (a pointed Kripke model), and a set of epistemic actions, whether there exists a sequence of actions that can be applied to reach the goal. We prove that even in the …

RELATED ENTITIES

RELATED TOPICS