gapt.proofs.lk.rules.BottomAxiom.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.Const
import gapt.expr.formula.Bottom
import gapt.expr.formula.prop.PropFormula
import gapt.proofs.HOLSequent

/**
 * An LKProof introducing ⊥ on the left:
 *  *       --------⊥:l
 *         ⊥ :-
 * 
 */
case object BottomAxiom extends InitialSequent {
  override def name: String = "⊥:l"
  override def conclusion: HOLSequent = HOLSequent(Seq(Bottom()), Nil)
  def mainFormula: PropFormula with Const = Bottom()
}