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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 142

    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.