A Substructural Epistemic Resource Logic and Its Use in Systems Security Modelling

We present a substructural epistemic logic, based on Boolean BI, in which the epistemic modalities are parametrized on the agent’s local resource. The new modalities can be seen as generalizations of the usual epistemic modalities. The logic combines Boolean BI’s resource semantics with epistemic agency. We give a labelled tableaux calculus and establish soundness and completeness with respect to the resource semantics. We illustrate the use of the logic as a modelling tool in socio-technical and behavioural aspects of systems security by discussing an example of side-channels in access control using resource tokens.