Counting CTL
  This paper presents a range of quantitative extensions for the temporal logic CTL. We enhance temporal modalities with the ability to constrain the number of states satisfying certain sub-formulas along paths. By selecting the combinations of Boolean and arithmetic operations allowed in constraints, one obtains several distinct logics generalizing CTL. We provide a thorough analysis of their expressiveness and succinctness, and of the complexity of their model-checking and satisfiability problems (ranging from P-complete to undecidable). Finally, we present two alternative logics with similar features and provide a comparative study of the properties of both variants. 
Fran\c{c}ois Laroussinie (Universit\'e Paris Diderot - Paris 7),   Antoine Meyer (Universit\'e Paris Est - Marne-la-Vall\'ee...
cs.LO