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Analysis of Access Control systems is an important task to ensure that unauthorised access to critical resources is protected. This thesis deals with a challenging problem related to the analysis of Access Control systems which depend on time and location against undesirable scenarios such as inconsistency. In particular, this thesis first provides formal algebraic notations for the Access Control specifications in the context of a Spatio- Temporal Role Based Access Control (STRBAC) model. This is followed by formulating the terms of inconsistency and semi-consistency in STRBAC specifications, which are accomplished with the help of the formal algebraic notations.