Algebra, proof theory and applications for an intuitionistic logic of propositions, actions and adjoint modal operators

We develop a cut-free nested sequent calculus as basis for a proof search procedure for an intuitionistic modal logic of actions and propositions. The actions act on propositions via a dynamic modality (the weakest precondition of program logics), whose left adjoint we refer to as “update” (the stro...

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Veröffentlicht in:ACM transactions on computational logic 2013-11, Vol.14 (4), p.1-37
Hauptverfasser: Dyckhoff, Roy, Sadrzadeh, Mehrnoosh, Truffaut, Julien
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Sprache:eng
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