Pregled bibliografske jedinice broj: 13396
Quantum and Classical Implication Algebras with Primitive Implications
Quantum and Classical Implication Algebras with Primitive Implications // International Journal of Theoretical Physics, 37 (1998), 8; 2091-2098 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 13396 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Quantum and Classical Implication Algebras with Primitive Implications
Autori
Pavičić, Mladen ; Megill, Norman D.
Izvornik
International Journal of Theoretical Physics (0020-7748) 37
(1998), 8;
2091-2098
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
implication algebra; orthomodular lattices; quantum logic; classical logic
Sažetak
Join in an orthomodular lattice is obtained in the same form for all five quantum implications. The form holds for the classical implication in a distributive lattice as well. Even more, the definition added to an ortholattice makes it orthomodular for quantum implications and distributive for the classical one. Based on this result a quantum implication algebra with a single primitive---and in this sense unique---implication is formulated. A corresponding classical implication algebra is also formulated. The algebras are shown to be special cases of a universal implication algebra.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
POVEZANOST RADA
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- The INSPEC Science Abstracts series
- Mathematical Reviews
