Continuum many maximal consistent normal bimodal logics with inverses

The paper considers extensions of a normal bimodal logic KL in which the two necessity operators are mutual one-sided inverses. A continuum of maximal consistent normal extensions of KL is constructed, each of which has infinitely many quasi-normal Post complete extensions. Some syntactic properties...

Olles dieđut

Bibliográfalaš dieđut
Váldodahkki: Williamson, T
Eará dahkkit: University of Notre Dame
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: Duke University Press 1998
Fáttát:
Govvádus
Čoahkkáigeassu:The paper considers extensions of a normal bimodal logic KL in which the two necessity operators are mutual one-sided inverses. A continuum of maximal consistent normal extensions of KL is constructed, each of which has infinitely many quasi-normal Post complete extensions. Some syntactic properties of maximal consistent normal bimodal logics and in particular of such extentions of KL are investigated.