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20012005
most citedTowards a Mathematical Theory of the Delays of the Asynchronous Circuits

3 citations · 7 across the 8 of their papers we have counts for

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math.GM2001

Introductory Topics in Binary Set Functions

Serban E. Vlad

Let X be a non-empty set and U a ring of subsets of X. The countable additive functions U->{0,1} are called measures. The paper gives some definitions (derivable measures, the Lebe…

math.GM2001

Introductory Topics in Distributions over Binary Test Functions

Serban E. Vlad

We note with B2 the Boole algebra with two elements. We define for the R->B2 functions the limits, the derivatives, the differentiability, the test functions, the integrals. We als…

cs.LO2001

Applications of the Differential Calculus in the Study of the Timed Automata: the Inertial Delay Buffer

Serban E. Vlad

We write the relations that characterize the simpliest timed automaton, the inertial delay buffer, in two versions: the non-deterministic and the deterministic one, by making use o…

cs.LO2001

The Delay-Insensitivity, the Hazard-Freedom, the Semi-Modularity and the Technical Condition of Good Running of the Discrete Time Asynchronous Automata

Serban E. Vlad

The paper studies some important properties of the asynchronous (=timed) automata: the delay-insensitivity, the hazard-freedom, the semi-modularity and the technical condition of g…

cs.LO2001

An Asynchronous Automata Approach to the Semantics of Temporal Logic

Serban E. Vlad

The paper presents the differential equations that characterize an asynchronous automaton and gives their solution x:R->{0,1}x...x{0,1}. Remarks are made on the connection between…

cs.LO2001

Selected Topics in Asynchronous Automata

Serban E. Vlad

The paper is concerned with defining the electrical signals and their models. The delays are discussed, the asynchronous automata - which are the models of the asynchronous circuit…