Title
Weight monitoring with linear temporal logic: complexity and decidability
Abstract
Many important performance and reliability measures can be formalized as the accumulated values of weight functions. In this paper, we introduce an extension of linear time logic including past (LTL) with new operators that impose constraints on the accumulated weight along path fragments. The fragments are characterized by regular conditions formalized by deterministic finite automata (monitor DFA). This new logic covers properties expressible by several recently proposed formalisms. We study the model-checking problem for weighted transition systems, Markov chains and Markov decision processes with rational weights. While the general problem is undecidable, we provide algorithms and sharp complexity bounds for several sublogics that arise by restricting the monitoring DFA.
Year
DOI
Venue
2014
10.1145/2603088.2603162
CSL-LICS
Keywords
Field
DocType
monitor,finite automata,transition system,model checking,accumulation,weights,ltl,rewards,mdp,temporal logic,theory,markov chain
Discrete mathematics,Combinatorics,Computer science,Deterministic finite automaton,Markov chain,Markov decision process,Algorithm,Decidability,Linear temporal logic,Finite-state machine,Time complexity,Undecidable problem
Conference
Citations 
PageRank 
References 
19
0.76
21
Authors
4
Name
Order
Citations
PageRank
Christel Baier13053185.85
Joachim Klein21189.33
Sascha Klüppelholz328720.48
Sascha Wunderlich4433.43