The book aims at building a mechanical way to do inferences by making use of arithmetic operations (addition, product, subtraction, division) on string of numbers representing statements. In this way logic is reduced to a branch of the combinatory calculus. It covers the field of traditional logic by showing that any kind of inference can be mechanically reduced to 3-varibles and 2-premise inferences. Also meriological inferences can be easily treated in this way. Possible applications: Artificial Intelligence, classical computation, quantum computation.

Mechanical Logic in three-Dimensional Space

AULETTA, Gennaro
2013-01-01

Abstract

The book aims at building a mechanical way to do inferences by making use of arithmetic operations (addition, product, subtraction, division) on string of numbers representing statements. In this way logic is reduced to a branch of the combinatory calculus. It covers the field of traditional logic by showing that any kind of inference can be mechanically reduced to 3-varibles and 2-premise inferences. Also meriological inferences can be easily treated in this way. Possible applications: Artificial Intelligence, classical computation, quantum computation.
2013
9789814411509
File in questo prodotto:
File Dimensione Formato  
Auletta_2013c.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 9.89 MB
Formato Adobe PDF
9.89 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11580/23876
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
social impact