We present an underapproximation for context-free languages by filtering out runs of the underlying pushdown automaton depending on how the stack height evolves over time. In particular, we assign to each run a number quantifying the oscillating behavior of the stack along the run. We study languages accepted by pushdown automata restricted to k-oscillating runs. We relate oscillation on pushdo...

Hromko\ii-. J. and K. Inoue. A note on realtime one-\\ay synchronized alternating one-counter automata. Theoretical Computer Science 108 (1993) 393-400. This paper investigates the poner of realtime one-\+a> synchronized alternating one-counter automata (lsaca (1. real)sL and shous that (1) lsacall. realis are more powerful than real-time one-way nondeterministic multlcounter automata. and (7) ...

We show that the problem of checking if an infinite tree generated by a higher-order grammar of level 2 (hyperalgebraic) satisfies a given μ-calculus formula (or, equivalently, if it is accepted by an alternating parity automaton) is decidable, actually 2-Exptime-complete. Consequently, the monadic second-order theory of any hyperalgebraic tree is decidable, so that the safety restriction can b...

This paper describes an approach to engineering efficient model checkers that are generic with respect to the temporal logic in which system properties are given. The methodology is based on the “compilation” of temporal formulas into variants of alternating tree automata called alternating Büchi tableau automata (ABTAs). The paper gives an efficient on-the-fly model-checking procedure for ABTA...

This paper presents a general framework for the uniform random generation of deterministic real-time accessible pushdown automata. A polynomial time algorithm to randomly generate a pushdown automaton having a fixed stack operations total size is proposed. The influence of the accepting condition (empty stack, final state) on the reachability of the generated automata is investigated.

We show that fixed membership testing for many interesting subclasses of multi-pushdown machines is no harder than for pushdowns with single stack. The models we consider are MVPA, OVPA and MPDA, which have all been defined and studied in the past. Multi-stack pushdown automata, MPDA, have ordered stacks with pop access restricted to the stack-top of the first non-empty stack. The membership fo...

Microtephrochronology is a stratigraphic dating method used by archaeologists and Quaternary scientists involving the location and characterisation of volcanic glass particles present in soils and sediments in sizes and amounts invisible to the unaided eye (e.g., Alloway et al. 2007; Turney and Lowe 2001). Accurate determination of the presence or absence of volcanic glass shards in a soil or s...

Parikh’s game logic is a PDL-like fixpoint logic interpreted on monotone neighbourhood frames that represent the strategic power of players in determined two-player games. Game logic translates into a fragment of the monotone μ-calculus, which in turn is expressively equivalent to monotone modal automata. Parity games and automata are important tools for dealing with the combinatorial complexit...

Translating linear temporal logic formulas to automata has proven to be an effective approach for implementing linear-time model-checking, and for obtaining many extensions and improvements to this verification method. On the other hand, for branching temporal logic, automata-theoretic techniques have long been thought to introduce an exponential penalty, making them essentially useless for mod...