A new concept called Logical Share Splitting is proposed for prediction markets, allowing traders to exchange shares of individual propositions for shares of their logical combinations. This mechanism enables the construction of arbitrary logical combinations of outcomes and can facilitate the subdivision of work in markets that incentivize formal proofs. The concept is extended to incorporate intuitionistic logic, addressing a problem where combining shares of a proposition and its negation would prematurely yield $1, thus disincentivizing further proof-seeking efforts. AI
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IMPACT Introduces a novel mechanism for prediction markets that could potentially be applied to incentivizing AI research and development.
RANK_REASON The cluster describes a novel theoretical concept for prediction markets, not a product release or industry-wide event. [lever_c_demoted from research: ic=1 ai=0.7]
