July 2010
Intermediate to advanced
576 pages
13h 3m
English
Content preview from Discrete Mathematics
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9
Finite State Automata
In this chapter, we study abstract models of machines that can accept input, produce output and have primitive internal memory to keep information about previous inputs. In these machines, the output depends not only on the input but also on the state of the system at the time the input is introduced.
9.1 FINITE STATE MACHINES
Definition 9.1
A finite state machine (complete sequential machine) is an abstract model of a machine with a primitive internal memory. A finite state machine M consists of
- A finite set of I input symbols
- A finite set S of “internal” states
- A finite set O of output symbols
- An initial state s0 in S
- A next-state function f : S × I → S
- An output function g: S × I → 0
A finite state machine M is ...
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