System E6

• [Hughes and Cresswell, 1996]

Based on

The system E6 is E6^0 plus the axiom Lp>p [Axiom T]

• Rules
  • Uniform Substitution
  • Modus Ponens: if |- p, and |- p>q, infer |- q
  • R*: if |- A>B infer |- LA>LB
• Axioms
  • PC
  • Axiom K: L(p>q)>(Lp>Lq)
  • Axiom S: MMp
  • Axiom T: Lp>p

So says: [Hughes and Cresswell, 1996, p364]

Basis for

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This page was last modified on November 29th, 2006