System E2 (Lemmon)

[Hughes and Cresswell, 1996]

Based on

The system E2 is

• Axioms
  • PC
  • K: L(p>q)>(Lp>Lq)
  • T: Lp>p
• Rules
  • Uniform Substitution
  • Modus Ponens
  • R* Given A>B Produce LA>LB

[Hughes and Cresswell, 1996, Page 205]

OR

The system E2 is E2⁰ + Lp>p [Axiom T] [Hughes and Cresswell, 1996, p364]

Basis for

E3 = E2 + E3 L(p>q) > L(Lp > Lq) [Hughes and Cresswell, 1996, p205]

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This page was last modified on October 26th, 2005