1. A finite-state automaton with output (in some contexts including machines with infinite state set). Thus there is a function f from the Cartesian product I × Q to the product Q × O, with Q a set of states and I, O finite sets of input and output symbols respectively. Suppose, for example, a,q0 |→ q1,x b,q1 |→ q1,y c,q1 |→ q2,z
Then, if the machine is in state q0 and reads a, it moves to state q1 and outputs x, and so on. Assuming the starting state to be q0, it can be seen for example that the input string abbbc is mapped to the output string xyyyz. This mapping from the set of all input strings to the set of all output strings, i.e. I* to O*, is called the response function of the machine. The function f comprises a state-transition function fQ from I × Q to Q and an output function fO from I × Q to O.
What is described here is sometimes called a Mealy machine to distinguish it from the more restricted Moore machines. In a Moore machine, the symbol output at each stage depends only on the current state, and not on the input symbol read. The example above is therefore not a Moore machine since fO(b,q1) = y
whereas fO(c,q1) = z
Any Moore machine can be converted to an equivalent Mealy machine by adding more states.
A generalized sequential machine is an extension of the notion of sequential machine: a string of symbols is output at each stage rather than a single symbol. Thus there is a function from I × Q to Q × O*. See also gsm mapping.
2. Another name for sequential circuit.
"sequential machine." A Dictionary of Computing. . Encyclopedia.com. (October 16, 2018). http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/sequential-machine
"sequential machine." A Dictionary of Computing. . Retrieved October 16, 2018 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/sequential-machine
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:
Modern Language Association
The Chicago Manual of Style
American Psychological Association
- Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
- In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.