ETHZ/Intro Tim
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| - | The resulting automaton is | + | The resulting automaton is shown in Fig. 1. <br /> |
| + | In its native state (''q''<sub>0</sub>), the system reacts on the presence of either chemical A or B by fluorescing green or yellow, respectively. The system itself remains in the same state. Only when the input chemical is combined with a learning signal (chemical L), it changes its state either to ''q''<sub>1</sub> (in presence of chemical A) or ''q''<sub>2</sub> (in presence of chemical B). | ||
Revision as of 11:51, 18 October 2007
.:: System Explanation ::.
The proposed system is best described by a Mealy machine, a special type of finite state machines (FSM). Mealy machines are defined by a 6-tuple, (Q, q0, Σ, Λ, δ, Ω), with:
- Q - a set of states, for the proposed system we use three different states (q0 - not yet trained, q1 - trained to recognize chemical A, q2 - trained to recognize chemical B)
- q0 - a start state, here we assume we start in a state where the system is not yet trained
- Σ = {A+L, A, B+L, B} - an input alphabet
- Λ = {green, red, blue, yellow} - an output alphabet
- δ : Q × Σ → Q - a state transition function
- Ω : Q × Σ → Λ - an output function
In detail, the transition function δ and the output function Ω look as follows:
| inputs/states | q0 | q1 | q2 | inputs/states | q0 | q1 | q2 | |
|---|---|---|---|---|---|---|---|---|
| A+L | q1 | q1 | q1 | A+L | green | green | blue | |
| A | q0 | q0 | q0 | A | green | green | green | |
| B+L | q2 | q2 | q2 | B+L | yellow | red | yellow | |
| B | q0 | q0 | q0 | B | yellow | yellow | yellow |
The resulting automaton is shown in Fig. 1.
In its native state (q0), the system reacts on the presence of either chemical A or B by fluorescing green or yellow, respectively. The system itself remains in the same state. Only when the input chemical is combined with a learning signal (chemical L), it changes its state either to q1 (in presence of chemical A) or q2 (in presence of chemical B).
