gapt.proofs.lk.rules.LogicalAxiom.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.proofs.HOLSequent

/**
 * An LKProof consisting of a logical axiom:
 *  *    --------ax
 *     A :- A
 * 
 * with A atomic.
 *
 * @param A The atom A.
 */
case class LogicalAxiom(A: Formula) extends InitialSequent {
  override def name: String = "ax"
  override def conclusion: HOLSequent = HOLSequent(Seq(A), Seq(A))
  def mainFormula: Formula = A
}