# Questions tagged [transducers]

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### Why is $DSPACE(\log^2n)\subseteq DTIME(n^{\log n})$?

I am having trouble with the statement that $DSPACE(\log^2n)\subseteq DTIME(n^{\log n})$ holds which is given without argument in the paper The structure and complexity of minimal NFA's over a unary ...
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### Formally Verify if a Sequence of Regex-Based Modifications is Idempotent

I'm performing a sequence of text formatting using regex in Python. I'm curious to know if it's possible to formally verify whether a single (or a sequence of) regex modification(s) is idempotent, ...
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1 vote
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### Finite-state transducer to accept $i$'th word of DFA

If I have a DFA $D$ that accepts some regular language $L$, is it possible to construct some finite-state transducer $T$ that takes in an index $i$, and puts out the $i$'th word in $L$, ordered ...
• 378
1 vote
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### Find a transducer that maps a given deterministic process to another

Let $S$ denote a deterministic process which generates a certain string, described through a Hidden Markov Model. More specifically, for a process with alphabet $\mathcal{A}$ and $n$ hidden states, ...
• 111
1 vote
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### How to prove existance and construct finite-state transducer between two different FSM?

For example I have 2 simple FSM. I will use regular expression for clarity. ...
• 299
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### Finite state transducer that multiplies numbers

How is possible to construct a finite state transducer that multiplies a number by 5? We can assume that numbers are supplied in binary notation, from least significant bits to most significant.
• 109
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### Why are sensors transducers when analogue-to-digital-converters (ADC) do the actual conversion?

As sensors only sense continuous quantities whereas an ADC is a device which actually converts one form of input to another.
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### Which transducer models replacement in regex?

I am looking for the right transducer which allows to translate a sequence of literals into a sequence of same literals (or a subset of them) in arbitrary order. For example: ABC => CAB, which, with ...
122 views

### Show that the regular language is contained in another

Let L1 and L2 be two non empty regular language. How can I show that the following expression is correct with an example ? $\bigotimes$ denote the transducer cross product. $L_1^+ \bigotimes L_2^+$ ...
• 155
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### Are finite state transducers and Mealy machines the same machines?

There are several versions of the definitions of the FST and the Mealy machine. Some of the definitions are almost same. Some have a little differences. But it seems that they both are a kind of DFA ...
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### Is the output of a Mealy/Moore automaton a regular language?

How can I prove that the output sequence of Mealy Moore Machine is a Regular Language ? And what if transition outputs more than one character ? How can we prove for this case that the language in (1) ...
1 vote
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### Regexp substitution and finite-state transducers

Many programming languages support a "regular expression substitution" operation: if r is a regular expression and s, ...
• 158k
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### Can a finite state transducer emit $\epsilon$?

Can a deterministic finite state transducer output ϵ (epsilon) ? A Deterministic Finite-state Transducer (DFT) is a device much like a DFA, except that its purpose is not to accept strings or ...
1 vote
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### almost realtime push down relation vs realtime pushdown relation?

Almost realtime pushdown relation pop a symbol for each empty step. Realtime pushdown relation does not perform any empty step. What do they mean by empty step?
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### How to apply insights from the theory of codes to alternating codes?

The book Theory of codes by J. Berstel and D. Perrin from 1985 studies variable-length codes. The focus is less on error-correction and compression, but more on algebraic properties, synchronization ...
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### Can Tree Transducers Self-Interpret?

Is it possible for MSO graph/tree transducers to reflect themselves, namely to create an interpreter of tree/graph transducers using tree/graph transducers? If yes, I'll be happy for some design ...
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1 vote
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### What is the expressive power of finite-state transducers and pushdown transducers?

One would assume that a finite state transducer can perform any translation such that the resulting string is from a regular grammar. Similarly, that a pushdown transducer can generate strings from ...
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### State machine that multiplies a binary number with a constant

I'm trying to create a FSM that multiplies a bitstream with a constant value (e.g 3). I don't have a clue how to design such a FSM. Any hints?
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### NL and NP compute different binary relations, so what?

Let the binary relation computed by a nondeterministic transducer be the relation between input strings and the possible output strings the transducer can produce (and accept) for the given input ...
• 5,380
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### Why not just use FSTs for combining syntactic and semantic analysis?

I've just found the finite state transducer. Since the FST processes two tapes: one for input, one for output, shouldn't it be possible to use FST to "pack together" some compiler stages, such as ...
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### How would a finite state transducer with no output function work?

Say I have a finite state transducer, 6 tuple FST with a set of states, input symbols, output symbols, transition function, a start state, and an output function. If I combine the output function into ...
Given $T_1, T_2\colon \Sigma^* \to \Gamma^*$ ($\Gamma$ is output alphabet), let $\Delta(T_1, T_2)$ consist of all input strings $w \in Σ^*$ where $T_1(w) \neq T_2(w)$. Prove that FSTs ...