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Quantitative generalizations of classical languages, which assign to each word a real number instead of a boolean value, have applications in modeling resource-constrained computation. We use quantitative automata (finite automata with transition weights) ...
We present a 3D multiscale coupling method to address sliding contact simulations at the nanoscale. The components of the model are a molecular dynamics engine, a finite element program and a coupling scheme. We consider the normal loading of a rough (frac ...
Nondeterministic weighted automata are finite automata with numerical weights on transitions. They define quantitative languages L that assign to each word w a real number L(w). The value of an infinite word w is computed as the maximal value of al ...
We consider multiple non-colocated sources commu- nicating over a network to a common sink. We assume that the network operation is fixed, and its end result is to convey a fixed linear deterministic transformation of the source data to the sink. This line ...
We propose and evaluate antichain algorithms to solve the universality and language inclusion problems for nondeterministic Buchi automata, and the emptiness problem for alternating Buchi automata. To obtain those algorithms, we establish the existence of ...
We present a multiscale coupling method to address contact problems. The components of the model are a molecular dynamics engine, a finite element program and a coupling scheme. We validate the approach, first on Hertzian contact and then with a rough surf ...
In the Information Embedding Problem one is given a piece of data which can be altered only conditionally, for example only at certain places. One is then asked to embed an arbitrary message into the data by only applying admissible changes to the data. Th ...
Model checking transactional memories (TMs) is difficult because of the unbounded number, length, and delay of concurrent transactions, as well as the unbounded size of the memory. We show that, under certain conditions satisfied by most TMs we know of, th ...
In this paper lossless compression with polar codes is considered. A polar encoding algorithm is developed and a method to design the code and compute the average compression rate for finite lengths is given. It is shown that the scheme achieves the optima ...
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We present a multiscale coupling method to address contact problems. The components of the model are a molecular dynamics engine, a finite element program and a coupling scheme. We validate the approach on an Hertzian contact. Various measures are provided ...