System EC

[Chellas, 1980] (See the listing in his index)

Notes

Based on

System EC is System E + Axiom C[(Lp&Lq) > L(p&q)]

Or in other words:

• PC
  • Modus Ponens
  • Uniform substitution
• Definitions
  • Mp is ~L~p;
• Rules
  • Given A<=>B Produce LA<=>LB
• Axioms
  • Axiom C (Lp&Lq)>L(p&q)

[Chellas, 1980, p237]

Basis for

System R is System EC + Axiom M [L(p&q)>(Lp&Lq)] [Chellas, 1980, p237]

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This page was last modified on November 21st, 2004