Questions tagged [transducers]
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14
questions with no upvoted or accepted answers
3
votes
0answers
53 views
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 ...
2
votes
0answers
29 views
Regular string relations - proof of correctness
Let $T \subseteq \Sigma^* \times \Sigma^*$ be a regular (rational) relation. We define the obligatory rewrite relation over $T$ as follows:
$$
R^{obl}(T) := N(T) \cdot (T \cdot N(T))^*
$$
$$
N(T) := ...
2
votes
0answers
95 views
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 ...
1
vote
0answers
22 views
Chomsky hierarchy for finite state transducers
In this question in the first answer someone mentions a "special transduction hierarchy". I cannot find anywhere anything about it. Could someone point me to resources on this topic?
1
vote
0answers
226 views
Regexp substitution and finite-state transducers
Many programming languages support a "regular expression substitution" operation: if r is a regular expression and s, ...
1
vote
0answers
27 views
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?
0
votes
0answers
25 views
How to proof that this ratio isn't the finite transformation?
How to check if the ratio is given: $a^{m}b^{n}a^n \rightarrow a^{m}b^{n}a^{m}$ by finite transformations?
I tried using the pumping lemma for finite transducers, but that didn't get me anywhere. ...
0
votes
0answers
37 views
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.
0
votes
0answers
22 views
State machine to convert from base 2 to base 10?
Is there a state machine which can convert base 2 decimals to base 10 decimals in a streaming fashion? Integers?
0
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0answers
21 views
About quasi-linear finite automata
Let M a finite state transducer define as : $M=<X,Y,S,\delta,\lambda>$
What we mean by quasi-linear finite automata?
0
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0answers
19 views
Mealy machine and moore machine
Can we compute the number of machine of two kind of transducers (mealy and moore) with $n$ states, and lenght of input symbols $m$, and lenght of output symbols $p$.
0
votes
0answers
22 views
About number of NFSTs
Can we proof the number of NFSTs with $n$ states : $n.2^{mpn}.2^{n}$ where $p$ is the cardinal of input alphabet and $m$ the cardinal of output alphabet.
0
votes
0answers
23 views
What is the optimal combination of transducers with limited capabilities to a more powerful transducer?
Assume we have a number of transducers with limited information processing capabilities. Are there theoretical results (proofs) on how these transducers can be combined by some sort of communication ...
-3
votes
1answer
105 views
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?