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LICS
1999
IEEE
13 years 9 months ago
Counting and Addition Cannot Express Deterministic Transitive Closure
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...
Matthias Ruhl
LICS
2009
IEEE
13 years 11 months ago
Logics with Rank Operators
—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...
CSL
2010
Springer
13 years 4 months ago
Randomisation and Derandomisation in Descriptive Complexity Theory
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 ...
Kord Eickmeyer, Martin Grohe
LICS
2009
IEEE
13 years 11 months ago
Pointer Programs and Undirected Reachability
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...
Martin Hofmann, Ulrich Schöpp
CORR
2004
Springer
119views Education» more  CORR 2004»
13 years 4 months ago
On Role Logic
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 ...
Viktor Kuncak, Martin C. Rinard