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Transition systems are often used to describe the behaviour of softwaresystems. If viewed as a graph then, at their most basic level, verticescorrespond to the states of a program and each edge represents a transitionbetween states via the (atomic) action labelled. In this setting, systems arethought to be consistent so that at each state formulas are evaluated as eitherTrue or False.  On the other hand, when a structure of this sort - for example a map wherestates represent locations, some local properties are known and labelledtransitions represent information available about different routes - is builtresorting to multiple sources of information, it is common to find inconsistentor incomplete information regarding what holds at each state, both at the levelof propositional variables and transitions.  This paper aims at bringing together Belnap's four values, Dynamic Logic andhybrid machinery such as nominals and the satisfaction operator, so thatreasoning is still possible in face of contradicting evidence. Proof-theory forthis new logic is explored by means of a terminating, sound and completetableaux system.

4DL: a four-valued Dynamic logic and its proof-theory