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Transducers

Pradip K. Srimani,S. F. B. Nasir-2007-09-12-Foundation Books
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TL;DRAbstract

In the previous chapters, an abstract model of a machine that accepts input values but doesn't produce any output values, was discussed. Some machines, however, produce output values after accepting input values. In the case of FSA (finite state automata), movements from state qi to qj depend on the input at qi and no output emerges. However, in the case of FSM, a move from a state qi to state qj results in an output. Consequently, a FSM possesses two special features: a finite set Γ of output symbols and an output function λ :Q × ∑ → Γ, where ∑ is the input alphabet. Thus, one major limitation of finite automata is that its output is limited to a binary signal: ‘accept’ or ‘don't accept’, to indicate the acceptance or rejection of an input string respectively. In order to make finite automata to have output capabilities, two classical machines are designed that transform input strings into output strings. They are

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In the previous chapters, an abstract model of a machine that accepts input values but doesn't produce any output values, was discussed. Some machines, however, produce output values after accepting input values. In the case of FSA (finite state automata), movements from state qi to qj depend on the input at qi and no output emerges. However, in the case of FSM, a move from a state qi to state qj results in an output. Consequently, a FSM possesses two special features: a finite set Γ of output symbols and an output function λ :Q × ∑ → Γ, where ∑ is the input alphabet. Thus, one major limitation of finite automata is that its output is limited to a binary signal: ‘accept’ or ‘don't accept’, to indicate the acceptance or rejection of an input string respectively. In order to make finite automata to have output capabilities, two classical machines are designed that transform input strings into output strings. They are

Keywords

Finite-state machineAutomatonAlphabetInput/outputState (computer science)Set (abstract data type)Function (biology)Computer science

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