This paper presents an algorithm for approximating minimization in the context of the weighted finite-state transducers approach to large vocabulary speech recognition. The algorithm is designed for the integration of the lexicon with the language model and performs composition, determinization and pushing in one step. Furthermore, it uses tail-sharing in order to approximate minimization. Our ...

This paper presents a method for constructing small word graphs from regular grammars in a way to reduce the number of vertices in the resulting graph. Our method works at the grammar level instead of intermediate forms like finite automata. It represents a prime alternative to exact minimization algorithms, and is distinguished by its simplicity, its flexibility and by the fact that it avoids ...

The objective of this survey is to present the ideal theory of monoids, the so-called Green’s relations, and to illustrate the usefulness of this tool for solving automata related questions. We use Green’s relations for proving four classical results related to automata theory: The result of Schützenberger characterizing star-free languages, the theorem of factorization forests of Simon, the ch...

This paper presents an overview of algorithms for constructing automata from linear arithmetic constraints. It identifies one case in which the special structure of the automata that are constructed allows a linear-time determinization procedure to be used. Furthermore, it shows through theoretical analysis and experiments that the special structure of the constructed automata does, in quite a ...

We present Rabinizer, a tool for translating formulae of the fragment of linear temporal logic with the operators F (eventually) and G (globally) into deterministic Rabin automata. Contrary to tools like ltl2dstar, which translate the formula into a Büchi automaton and apply Safra’s determinization procedure, Rabinizer uses a direct construction based on the logical structure of the formulae. W...

Asynchronous automata are a natural distributed machine model for recognizing trace languages—languages defined over an alphabet equipped with an independence relation. To handle infinite traces, Gastin and Petit introduced Büchi asynchronous automata, which accept precisely the class of ω-regular trace languages. Like their sequential counterparts, these automata need to be non-deterministic i...

Recent domain-determinization techniques have been very successful in many probabilistic planning problems. We claim that traditional heuristic MDP algorithms have been unsuccessful due mostly to the lack of efficient heuristics in structured domains. Previous attempts like mGPT used classical planning heuristics to an all-outcome determinization of MDPs without discount factor ; yet, discounte...

Several verification methods involve reasoning about multi-valued systems, in which an atomic proposition is interpreted at a state as a lattice element, rather than a Boolean value. The automata-theoretic approach for reasoning about Boolean-valued systems has proven to be very useful and powerful. We develop an automata-theoretic framework for reasoning about multi-valued objects, and describ...

Abstract Automata operating on infinite objects feature prominently in the theory of modal $$\mu $$ -calculus. One such application concerns tableau games introduced by Niwiński & Walukiewicz, which winning condition for plays can be naturally checked a nondeterministic parity stream automaton. Inspired work Jungteerapanich and Stirling we show how determinization constructions this automat...

Temporal logics like LTL are frequently used for the specification and verification of reactive systems. To this end, LTL formulas are typically translated to nondeterministic Büchi automata so that the LTL verification problem is reduced to a nonemptiness problem of ω-automata. While nondeterministic automata are sufficient for this purpose, many other applications require deterministic ω-auto...