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Probabilities on finite models

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Preservation Theorems in Semiring Semantics

cs.LO · 2026-05-11 · unverdicted · novelty 7.0

Preservation theorems hold for all lattice semirings but fail for tropical, Viterbi, Łukasiewicz, and natural semirings, while existential preservation holds on finite interpretations for lattices unlike the Boolean case.

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  • Preservation Theorems in Semiring Semantics cs.LO · 2026-05-11 · unverdicted · none · ref 62

    Preservation theorems hold for all lattice semirings but fail for tropical, Viterbi, Łukasiewicz, and natural semirings, while existential preservation holds on finite interpretations for lattices unlike the Boolean case.

  • Random coloured digraphs defined by a Markov logic network math.LO · 2026-06-16 · unverdicted · none · ref 10

    Scaling MLN weights by 1/n induces a weight-independent 0-1 law for FO logic; unscaled weights produce seven regimes with possible phase transitions and convergence laws.