In automata theory, a timed automaton is a finite automaton extended with a finite set of real-valued clocks. During a run of a timed automaton, clock values increase all with the same speed. Along the transitions of the automaton, clock values can be compared to integers. These comparisons form guards that may enable or disable transitions and by doing so constrain the possible behaviors of the automaton. Further, clocks can be reset. Timed automata are a sub-class of a type hybrid automata.
Timed automata can be used to model and analyse the timing behavior of computer systems, e.g., real-time systems or networks. Methods for checking both safety and liveness properties have been developed and intensively studied over the last 20 years.
It has been shown that the state reachability problem for timed automata is decidable,[1] which makes this an interesting sub-class of hybrid automata. Extensions have been extensively studied, among them stopwatches, real-time tasks, cost functions, and timed games. There exists a variety of tools to input and analyse timed automata and extensions, including the model checkers UPPAAL, Kronos, and the schedulability analyser TIMES. These tools are becoming more and more mature, but are still all academic research tools.
^Rajeev Alur, David L. Dill. 1994 A Theory of Timed Automata. In Theoretical Computer Science, vol. 126, 183–235, pp. 194–1955
automata theory, a timedautomaton is a finite automaton extended with a finite set of real-valued clocks. During a run of a timedautomaton, clock values...
An automaton (/ɔːˈtɒmətən/; pl.: automata or automatons) is a relatively self-operating machine, or control mechanism designed to automatically follow...
to express timed languages which can not be expressed using timed-automaton. An alternating timedautomaton is defined as a timedautomaton, where the...
A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called...
computation, a branch of theoretical computer science, a pushdown automaton (PDA) is a type of automaton that employs a stack. Pushdown automata are used in theories...
derivatives (PCD) systems, priced timed automata, and constant-rate multi-mode systems. Timedautomaton and signal automaton, two kinds of hybrid automata...
The Mechanical Turk, also known as the Automaton Chess Player (German: Schachtürke, lit. 'chess Turk'; Hungarian: A Török), or simply The Turk, was a...
logic that allows the expression of time constraints. A timed word may be passed to a model, such as a timedautomaton, which will decide, given the letters...
Association American Thyroid Association ATA chapter numbers Alternating timedautomaton ATA, a codon for the amino acid isoleucine American Taekwondo Association...
of automaton. This automaton consists of states (represented in the figure by circles) and transitions (represented by arrows). As the automaton sees...
an arbitrary number of time in a single time unit. Let us now consider a system, such as a timedautomaton or a signal automaton, which want to know at...
automata theory, a finite-state machine is called a deterministic finite automaton (DFA), if each of its transitions is uniquely determined by its source...
An automaton clock or automata clock is a type of striking clock featuring automatons. Clocks like these were built from the 1st century BC through to...
The Rule 110 cellular automaton (often called simply Rule 110) is an elementary cellular automaton with interesting behavior on the boundary between stability...
and computability theory, an elementary cellular automaton is a one-dimensional cellular automaton where there are two possible states (labeled 0 and...
"Californian Seventies funk rock". Jamiroquai released their 2017 album, Automaton, through Virgin EMI. It was their eighth studio album and the first in...
Neumann's universal constructor. Nobili's cellular automaton is a variation of von Neumann's cellular automaton, augmented with the ability for confluent cells...
linear bounded automaton (plural linear bounded automata, abbreviated LBA) is a restricted form of Turing machine. A linear bounded automaton is a Turing...
In computer science, a Levenshtein automaton for a string w and a number n is a finite-state automaton that can recognize the set of all strings whose...
minimization is the task of transforming a given deterministic finite automaton (DFA) into an equivalent DFA that has a minimum number of states. Here...