Quantiied Lax Logic Quantiied Lax Logic

Lax Logic is an intuitionistic modal logic which has so far been investigated at the propositional level. It has shown itself to have applications in the formal veriication of hardware|a logical modality is used to capture and express the correctness of speciicationsùp to' behavioural constraints. A translation from Quantiied Lax Logic to a quantiied classical modal logic is presented which enables both model and syntactic embedding theorems to be proved. By investigating the links between these logics, the nature of the single Lax Logic modality is revealed and results of soundness and completeness are derived for two distinct classes of model-structures of QLL.