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at.logic.gapt.proofs.lk.cutIntroduction

Deltas

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object Deltas

Contains the implementations for the various delta-vectors.

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  1. class ManyVariableDelta extends DeltaVector

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    The delta-vector which only returns decompositions with exactly [numVars] variables.

    The delta-vector which only returns decompositions with exactly [numVars] variables.

    Since decompositions with exactly [numVars] variables might not exist, [computeDelta] might return 0 decompositions, and since many might exist, it might return more than one for a given set of terms.

    The variables in the returned decompositions will be named [eigenvariable]_0,...

    For details, see doc/deltavector.tex, Section "bounded generalized Delta-Vector".

  2. class OneVariableDelta extends DeltaVector

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    The delta-vector which uses at most one variable in its decompositions.

    The delta-vector which uses at most one variable in its decompositions.

    [OneVariableDelta] will return exactly one decomposition; if all terms are equal, it will return simply the first term for u and Nil for s. If they are not equal, it will return some u and an S consisting s-vectors of size 1.

    The variable in the returned decomposition -- if it occurrs -- will be named [eigenvariable]_0.

  3. class UnboundedVariableDelta extends DeltaVector

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    The delta-vector which has no upper limit on the number of variables it may use in its decompositions.

    The delta-vector which has no upper limit on the number of variables it may use in its decompositions.

    Here [computeDelta] will return exactly one decompositions with an a priori unknown number of variables. Different terms will result in different numbers of variables being introduced.

    The variables in the returned decompositions will be named [eigenvariable]_0,...

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  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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