We describe an automata-theoretic approach to the automated checking of truth and validity for temporal logics. The basic idea underlying this approach is that for any formula we can construct an alternating automaton that accepts precisely the models of the formula. For linear temporal logics the automaton runs on infinite words while for branching temporal logics the automaton runs on infinit...

We address the concrete problem of verifying graph properties expressed in Monadic Second Order (MSO) logic. It is well-known that the model-checking problem for MSO logic on graphs is fixed-parameter tractable (FPT) [Cou09, Chap 6] with respect to tree-width and cliquewidth. The proof uses tree-decompositions (for tree-width as parameter) and clique-decompositions (for clique-width as paramete...

This paper describes the incremental generation of parse tables for the LRtype parsing of Tree Adjoining Languages (TALs). The algorithm presented handles modi cations to the input grammar by updating the parser generated so far. In this paper, a lazy generation of LR-type parsers for TALs is de ned in which parse tables are created by need while parsing. We then describe an incremental parser ...

Bounded model-checking is a technique for finding bugs in very large designs. Bounded model-checking by itself is incomplete: it can find bugs, but it cannot prove that a system satisfies a specification. A dynamic completeness criterion can allow bounded model-checking to prove properties. A dynamic completeness criterion typically searches for a “beginning” of a bug or bad behavior; if no suc...

We study automata on infinite words and their applications in system specification and verification. We first introduce Büchi automata and survey their closure properties, expressive power, and determinization. We then introduce additional acceptance conditions and the model of alternating automata. We compare the different classes of automata in terms of expressive power and succinctness, and ...

We study two enumeration problems for up-down alternating trees, i.e., rooted labelled trees T , where the labels v1, v2, v3, . . . on every path starting at the root of T satisfy v1 < v2 > v3 < v4 > · · · . First we consider various tree families of interest in combinatorics (such as unordered, ordered, d-ary and Motzkin trees) and study the number Tn of different up-down alternating labelled ...

in this note, by considering the notions of the intuitionistic general l-fuzzy automaton and $(alpha, beta)$-language, we show that for any $(alpha, beta)$-language $mathcal{l}$, there exists a minimal intuitionistic general l-fuzzy automaton recognizing $mathcal{l}$.we prove that the minimal intuitionistic general l-fuzzy automaton is isomorphic with threshold $(alpha,beta)$ to any $(alpha, be...

We present an algorithm to generate Büchi automata from LTL formulae. This algorithm generates a very weak alternating co-Büchi automaton and then transforms it into a Büchi automaton, using a generalized Büchi automaton as an intermediate step. Each automaton is simplified on-the-fly in order to save memory and time. As usual we simplify the LTL formula before any treatment. We implemented thi...

We propose a new extension of higher-order pushdown automata, which allows to use an infinite alphabet. The new automata recognize languages of data words (instead of normal words), which beside each its letter from a finite alphabet have a data value from an infinite alphabet. Those data values can be loaded to the stack of the automaton, and later compared with some farther data values on the...

In recent years much attention has been paid to parallelism and concurrent systems. Petri nets are a formalism which is commonly used for these studies [8]. The theory of Petri nets can be described in the mathematical frame of vector addition systems (VAS). Although these two approaches are equivalent, we formulate our results here in the VAS formalism. Karp and Miller provided in [5] a tool w...