System S0.5

• [Lemmon, 1957] (Original source)
• [Hughes and Cresswell, 1996]

Notes

Based on

The system S0.5 is:

• PC
  • Modus Ponens
  • Uniform Substitution
• Rules
  • N'' If A is a PC-tautology, infer |- A
• Axioms
  • K: L(p>q)>(Lp>Lq)
  • T: Lp>p

In other words, S0.5 is T minus Necessitation and plus N''

[Hughes and Cresswell, 1996]

[Lemmon, 1957, p180]

Basis for

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This page was last modified on September 11th, 2006