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Two papers on the predicate calculus /

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Kleene, Stephen Cole, 1909-1994 (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence : American Mathematical Society, 1952.
Collection:Memoirs of the American Mathematical Society ; no. 10.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • PERMUTABILITY OF INFERENCES IN GENTZEN'S CALCULI LK AND LJ
  • 1. THE FORMAL SYSTEM G
  • 2. RELATIONSHIPS IN A PROOF IN G
  • 3 . INTERCHANGE OF ADJACENT LOGICAL INFERENCES
  • 4. PERMUTABILITY OF LOGICAL INFERENCES
  • FINITE AXIOMATIZABILITY OF THEORIES IN THE PREDICATE CALCULUS USING ADDITIONAL PREDICATE SYMBOLS
  • 1. H-NUMBERS
  • 2. A PRIMITIVE RECURSIVE ENUMERATION OF H-NUMBERS
  • 3 . THE SYSTEM S[sub(1)]
  • 4. THE SYSTEMS S[sub(2)], S[sub(3)]
  • 5. THE SYSTEMS S[sub(0)], S
  • 6. A NON-CONSTRUCTIVE PROOF OF CONSISTENCY FOR THE CLASSICAL CASE.
  • 7. EFFECT OF THE EQUALITY AXIOMS WITH A NEW EQUALITY SYMBOL
  • 8. EFFECT OF THE AXIOMS OF S[sub(1)]
  • 9. EFFECT OF THE AXIOM OF S[sub(2)]
  • 10. EFFECT OF THE AXIOMS OF S[sub(3)]
  • 11. CONCLUSION OF THE CONSISTENCY PROOF
  • BIBLIOGRAPHY.