gapt.proofs.lk.rules.ConversionRule.scala Maven / Gradle / Ivy

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General Architecture for Proof Theory

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package gapt.proofs.lk.rules

import gapt.expr.formula.Formula
import gapt.logic.Polarity
import gapt.proofs.IndexOrFormula
import gapt.proofs.SequentIndex
import gapt.proofs.lk.LKProof

abstract class ConversionRule extends UnaryLKProof with CommonRule {
  def subProof: LKProof
  def aux: SequentIndex
  def auxFormula: Formula = premise(aux)
  def mainFormula: Formula
}

object ConversionRule extends ConvenienceConstructor("ConversionRule") {
  def apply(subProof: LKProof, aux: SequentIndex, main: Formula): LKProof =
    apply(subProof, aux, main, aux.polarity)
  def apply(subProof: LKProof, aux: IndexOrFormula, main: Formula, polarity: Polarity): LKProof =
    if (polarity.inSuc)
      ConversionRightRule(subProof, aux, main)
    else
      ConversionLeftRule(subProof, aux, main)
}