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Two Variable vs. Linear Temporal Logic in Model Checking and Games

Michael Benedikt ; Rastislav Lenhardt ; James Worrell.

Model checking linear-time properties expressed in first-order logic has non-elementary complexity, and thus various restricted logical languages are employed. In this paper we consider two such restricted specification logics, linear temporal logic (LTL) and two-variable first-order logic (FO2).&nbsp;[&hellip;]

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Definability and Interpolation within Decidable Fixpoint Logics

Michael Benedikt ; Pierre Bourhis ; Michael Vanden Boom.

We look at characterizing which formulas are expressible in rich decidable logics such as guarded fixpoint logic, unary negation fixpoint logic, and guarded negation fixpoint logic. We consider semantic characterizations of definability, as well as effective characterizations. Our algorithms revolve&nbsp;[&hellip;]

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