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The Complexity of Flat Freeze LTL

Benedikt Bollig ; Karin Quaas ; Arnaud Sangnier.

We consider the model-checking problem for freeze LTL on one-counter automata (OCA). Freeze LTL extends LTL with the freeze quantifier, which allows one to store different counter values of a run in registers so that they can be compared with one another. As the model-checking problem is undecidable&nbsp;[&hellip;]

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A Robust Class of Data Languages and an Application to Learning

Benedikt Bollig ; Peter Habermehl ; Martin Leucker ; Benjamin Monmege.

We introduce session automata, an automata model to process data words, i.e., words over an infinite alphabet. Session automata support the notion of fresh data values, which are well suited for modeling protocols in which sessions using fresh values are of major interest, like in security protocols&nbsp;[&hellip;]

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Propositional Dynamic Logic for Message-Passing Systems

Benedikt Bollig ; Dietrich Kuske ; Ingmar Meinecke.

We examine a bidirectional propositional dynamic logic (PDL) for finite and infinite message sequence charts (MSCs) extending LTL and TLC-. By this kind of multi-modal logic we can express properties both in the entire future and in the past of an event. Path expressions strengthen the classical&nbsp;[&hellip;]

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On the Expressive Power of 2-Stack Visibly Pushdown Automata

Benedikt Bollig.

Visibly pushdown automata are input-driven pushdown automata that recognize some non-regular context-free languages while preserving the nice closure and decidability properties of finite automata. Visibly pushdown automata with multiple stacks have been considered recently by La Torre, Madhusudan,&nbsp;[&hellip;]

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Bounded Reachability Problems are Decidable in FIFO Machines

Benedikt Bollig ; Alain Finkel ; Amrita Suresh.

The undecidability of basic decision problems for general FIFO machines such as reachability and unboundedness is well-known. In this paper, we provide an underapproximation for the general model by considering only runs that are input-bounded (i.e. the sequence of messages sent through a particular&nbsp;[&hellip;]

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Analyzing Robustness of Angluin's L$^*$ Algorithm in Presence of Noise

Lina Ye ; Igor Khmelnitsky ; Serge Haddad ; Benoît Barbot ; Benedikt Bollig ; Martin Leucker ; Daniel Neider ; Rajarshi Roy.

Angluin's L$^*$ algorithm learns the minimal deterministic finite automaton (DFA) of a regular language using membership and equivalence queries. Its probabilistic approximatively correct (PAC) version substitutes an equivalence query by numerous random membership queries to get a high level&nbsp;[&hellip;]

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Branch-Well-Structured Transition Systems and Extensions

Benedikt Bollig ; Alain Finkel ; Amrita Suresh.

We propose a relaxation to the definition of well-structured transition systems (\WSTS) while retaining the decidability of boundedness and non-termination. In this class, the well-quasi-ordered (wqo) condition is relaxed such that it is applicable only between states that are reachable one from&nbsp;[&hellip;]

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On the Satisfiability of Local First-Order Logics with Data

Benedikt Bollig ; Arnaud Sangnier ; Olivier Stietel.

We study first-order logic over unordered structures whose elements carry a finite number of data values from an infinite domain. Data values can be compared wrt.\ equality. As the satisfiability problem for this logic is undecidable in general, we introduce a family of local fragments. They&nbsp;[&hellip;]

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