Double Negation Operator in Logic N ∗

Verfasser / Beitragende:
[S. Drobyshevich]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/3(2015-03-01), 389-402
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2254-3  |2 doi 
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100 1 |a Drobyshevich  |D S.  |u Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, 630090, Novosibirsk, Russia  |4 aut 
245 1 0 |a Double Negation Operator in Logic N ∗  |h [Elektronische Daten]  |c [S. Drobyshevich] 
520 3 |a We obtain an axiomatization of the double Routley negation operator as a necessity operator in the logic N ∗. We introduce the logic N # describing the behavior of the double Routley negation operator, define the Kripke semantics of N #, prove the completeness, and the establish the finite approximation property and decidability. We also compare constructive properties of the logics N ∗ and N #. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/3(2015-03-01), 389-402  |x 1072-3374  |q 205:3<389  |1 2015  |2 205  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Drobyshevich  |D S.  |u Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, 630090, Novosibirsk, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/3(2015-03-01), 389-402  |x 1072-3374  |q 205:3<389  |1 2015  |2 205  |o 10958