1.

Record Nr.

UNINA9910480728703321

Autore

Kleene Stephen Cole <1909-1994, >

Titolo

Two papers on the predicate calculus / / by S.C. Kleene

Pubbl/distr/stampa

Providence : , : American Mathematical Society, , 1952

ISBN

0-8218-9889-2

Descrizione fisica

1 online resource (72 p.)

Collana

Memoirs of the American Mathematical Society ; ; number 10

Soggetti

Calculus

Predicate calculus

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Cover title.

"Second printing, with revision, 1967."

Nota di bibliografia

Bibliography: pages [67]-68.

Nota di contenuto

""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""