An important open question in complexity theory is whether the circuit complexity class TC0 is (strictly) weaker than LOGSPACE. This paper considers this question from the viewpoi...
—We introduce extensions of first-order logic (FO) and fixed-point logic (FP) with operators that compute the rank of a definable matrix. These operators are generalizations o...
Anuj Dawar, Martin Grohe, Bjarki Holm, Bastian Lau...
We study probabilistic complexity classes and questions of derandomisation from a logical point of view. For each logic L we introduce a new logic BPL, bounded error probabilistic ...
Pointer programs are a model of structured computation within logspace. They capture the common description of logspace algorithms as programs that take as input some structured d...
We present role logic, a notation for describing properties of relational structures in shape analysis, databases, and knowledge bases. We construct role logic using the ideas of ...