The focus of this paper is the analysis of real-time systems with recursion, through the development of good theoretical techniques which are implementable. Time is modeled using clock variables, and recursion using stacks. Our technique consists of modeling the behaviours of the timed system as graphs, and interpreting these graphs on tree terms by showing a bound on their tree-width. We then ...

We describe an e cient CTL model checking algorithm based on alternating automata and games. A CTL formula, expressing a correctness property, is rst translated to a hesitant alternating automaton and then composed with a Kripke structure representing the model to be checked, this resulting automaton is then checked for nonemptiness. We introduce the nonemptiness game that checks the nonemptine...

There exist several methods of computing an automaton recognizing the language denoted by a given regular expression: In the case of words, ones can compute the position automaton P due to Glushkov, the c-continuation automaton C due to Champarnaud and Ziadi, the follow automaton F due to Illie and Yu and the equation automaton E due to Antimirov. It has been shown that P and C are isomorphic a...

We propose a novel algorithm for automata-based LTL model checking that interleaves the construction of the generalized Büchi automaton for the negation of the formula and the emptiness check. Our algorithm first converts the LTL formula into a linear weak alternating automaton; configurations of the alternating automaton correspond to the locations of a generalized Büchi automaton, and a varia...

We propose a novel algorithm for automata-based LTL model checking that interleaves the construction of the generalized Büchi automaton for the negation of the formula and the emptiness check. Our algorithm first converts the LTL formula into a linear weak alternating automaton; configurations of the alternating automaton correspond to the locations of a generalized Büchi automaton, and a varia...

We propose a novel algorithm for automata-based LTL model checking that interleaves the construction of the generalized Büchi automaton for the negation of the formula and the emptiness check. Our algorithm first converts the LTL formula into a linear weak alternating automaton; configurations of the alternating automaton correspond to the locations of a generalized Büchi automaton, and a varia...

Finite tree automata consist of a set of states and a set of transitions. Input trees are accepted if it is possible to label the tree with states such that the relationship between the state at every node and the state at its child nodes conforms to a transition. Thus, the transitions only define how a state must be labeled with respect to its children or vice versa. This work investigates how...

We introduce a novel automata-theoretic approach for the verification of multi-agent systems. We present epistemic alternating tree automata, an extension of alternating tree automata, and use them to represent specifications in the temporal-epistemic logic CTLK. We show that model checking a memory-less interpreted system against a CTLK property can be reduced to checking the language non-empt...

We introduce an automata-theoretic approach for the verification of multi-agent systems. We present a translation between branching time temporal-epistemic logic and alternating tree automata. Model checking an interpreted system against a temporal-epistemic formula is reduced to checking the non-emptiness of the composition of two tree automata. We exemplify this technique using a simple multi...

In this thesis, three methods are investigated to express context-free tree languages by regular tree grammars. The first method is a characterization. We show restrictions to context-free tree grammars such that, for each restricted context-free tree grammar, a regular tree grammar can be constructed that induces the same tree language. The other two methods are approximations. An arbitrary co...