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Existential quantification in top-level positive constraints can be eliminated and the bound variables can be replaced with some fresh variables.
Example: #Exists X. { P(X) } => P(X0), for some X0 fresh.
I am assuming that this is a sound simplification when doing matching-logic proofs since it is sound when doing first-order logic proofs, and matching logic captures first-order logic.
This simplification cannot be applied under negation.
The text was updated successfully, but these errors were encountered:
Simplification
Existential quantification in top-level positive constraints can be eliminated and the bound variables can be replaced with some fresh variables.
Example:
#Exists X. { P(X) } => P(X0)
, for someX0
fresh.I am assuming that this is a sound simplification when doing matching-logic proofs since it is sound when doing first-order logic proofs, and matching logic captures first-order logic.
This simplification cannot be applied under negation.
The text was updated successfully, but these errors were encountered: