Each regular code is included in a maximal regular code
Effective constructions of grammars
Efficiency of automata in semi-commutation verification techniques
Computing the image of a regular language by the transitive closure of a relation is a central question in regular model checking. In a recent paper Bouajjani et al. [IEEE Comput. Soc. (2001) 399–408] proved that the class of regular languages – called APC – of the form
Efficiency of automata in semi-commutation verification techniques
Computing the image of a regular language by the transitive closure of a relation is a central question in regular model checking. In a recent paper Bouajjani et al. [IEEE Comput. Soc. (2001) 399–408] proved that the class of regular languages L – called APC – of the form UjL0,jL1,jL2,j...Lkj,j, where the union is finite and each Li,j is either a single symbol or a language of the form B* with B a subset of the alphabet, is closed under all semi-commutation relations R. Moreover a recursive...
Efficient Binary Space Partitions for Hidden-Surface Removal and Solid Modeling.
Efficient computation of addition chains
The aim of this paper is to present a unifying approach to the computation of short addition chains. Our method is based upon continued fraction expansions. Most of the popular methods for the generation of addition chains, such as the binary method, the factor method, etc..., fit in our framework. However, we present new and better algorithms. We give a general upper bound for the complexity of continued fraction methods, as a function of a chosen strategy, thus the total number of operations required...
Efficient distributed algorithms by using the archimedean time assumption
Efficient reductions of picture words
Efficient simulation of synchronous systems by multi-speed systems
We consider systems consisting of finite automata communicating by exchanging messages and working on the same read-only data. We investigate the situation in which the automata work with constant but different speeds. We assume furthermore that the automata are not aware of the speeds and they cannot measure them directly. Nevertheless, the automata have to compute a correct output. We call this model multi-speed systems of finite automata. Complexity measure that we consider here is the number...
Efficient simulation of synchronous systems by multi-speed systems
We consider systems consisting of finite automata communicating by exchanging messages and working on the same read-only data. We investigate the situation in which the automata work with constant but different speeds. We assume furthermore that the automata are not aware of the speeds and they cannot measure them directly. Nevertheless, the automata have to compute a correct output. We call this model multi-speed systems of finite automata. Complexity measure that we consider here is the...
Efficient string matching on packed texts
Efficient validation and construction of border arrays and validation of string matching automata
We present an on-line linear time and space algorithm to check if an integer array is the border array of at least one string built on a bounded or unbounded size alphabet . First of all, we show a bijection between the border array of a string and the skeleton of the DFA recognizing , called a string matching automaton (SMA). Different strings can have the same border array but the originality of the presented method is that the correspondence between a border array and a skeleton of SMA...
Efficient validation and construction of border arrays and validation of string matching automata
We present an on-line linear time and space algorithm to check if an integer array f is the border array of at least one string w built on a bounded or unbounded size alphabet Σ. First of all, we show a bijection between the border array of a string w and the skeleton of the DFA recognizing Σ*ω, called a string matching automaton (SMA). Different strings can have the same border array but the originality of the presented method is that the correspondence between a border array and a...
Efficient weighted expressions conversion
J. Hromkovic et al. have given an elegant method to convert a regular expression of size into an -free nondeterministic finite automaton having states and transitions. This method has been implemented efficiently in time by C. Hagenah and A. Muscholl. In this paper we extend this method to weighted regular expressions and we show that it can be achieved in time.
Efficient weighted expressions conversion
J. Hromkovic et al. have given an elegant method to convert a regular expression of size n into an ε-free nondeterministic finite automaton having O(n) states and O(nlog2(n)) transitions. This method has been implemented efficiently in O(nlog2(n)) time by C. Hagenah and A. Muscholl. In this paper we extend this method to weighted regular expressions and we show that it can be achieved in O(nlog2(n)) time.
Einige Resultate über Berechnungskomplexität.
Elastic wave propagation in parallel: the Huygens' approach.
The use of parallel computers makes it feasible to simulate elastic waves throughout large heterogeneous structures, and new domain decomposition methods can be used to increase their efficiency and decrease the computing time spent in the simulation. In this paper we introduce a simple parallel algorithm for the propagation of elastic waves in complex heterogeneous media after a finite element discretization. This method performs more efficiently than classic domain decomposition techniques based...
Elementariness of a finite set of words is co-NP-complete
Elementary ...-languages and finite semilattices of groups.
Elementary properties of the class of nondeterministic polynomial time computable functions