CH (Bull)

• [Bull, 1962]

Notes

Bull doesn't actually give this system a name, instead refering to it as "The implicational fragment of Heyting's Calculus". I've given it CH so I have SOMETHING to call it. -JH

Based on

• Rules
  • Uniform substitution (US)
  • Modus Ponens for > (MP>)
• Axioms
  • p > (q > p)
  • (p > (p > q)) > (p > q)
  • (p > q) > ((q > r) > (p > r))

[Bull, 1962, p192]

Basis for

CLC is CH + ((p > q) > r) > (((q > p) > r) > r) [Bull, 1962, p187]

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This page was last modified on December 11th, 2006.