Quantum implication algebras without complementation are formulated with the same axioms for all five quantum implications. Previous formulations of orthoimplication, orthomodular implication, and quasi-implication algebras are analyzed and put in perspective to each other and our results.
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UNLP, Fac Ciencias Exactas, Dept Matemat, Casilla Correos 172, RA-1900 La Plata, Buenos Aires, Argentina
Consejo Nacl Invest Cient & Tecn, Casilla Correos 172, RA-1900 La Plata, Buenos Aires, ArgentinaUNLP, Fac Ciencias Exactas, Dept Matemat, Casilla Correos 172, RA-1900 La Plata, Buenos Aires, Argentina
Luis Castiglioni, Jose
Arturo Celani, Sergio
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UNCPBA, Fac Ciencias Exactas, Dept Matemat, Pinto 399, RA-7000 Tandil, Argentina
Consejo Nacl Invest Cient & Tecn, Pinto 399, RA-7000 Tandil, ArgentinaUNLP, Fac Ciencias Exactas, Dept Matemat, Casilla Correos 172, RA-1900 La Plata, Buenos Aires, Argentina
Arturo Celani, Sergio
Javier San Martin, Hernan
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UNLP, Fac Ciencias Exactas, Dept Matemat, Casilla Correos 172, RA-1900 La Plata, Buenos Aires, Argentina
Consejo Nacl Invest Cient & Tecn, Casilla Correos 172, RA-1900 La Plata, Buenos Aires, ArgentinaUNLP, Fac Ciencias Exactas, Dept Matemat, Casilla Correos 172, RA-1900 La Plata, Buenos Aires, Argentina