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Automatic Maps in Exotic Numeration Systems

https://doi.org/10.1007/bf02679463
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-59175-3openalex-snapshot
LATIN '95: Theoretical Informatics
inferredcites →https://doi.org/10.1007/3-540-59175-3_87openalex-snapshot
Recognizable sets of numbers in nonstandard bases
inferredcites →https://doi.org/10.1007/978-0-387-74725-5openalex-snapshot
A Concrete Introduction to Higher Algebra
inferredcites →https://doi.org/10.1007/978-1-4419-8702-0openalex-snapshot
A Concrete Introduction to Higher Algebra
inferredcites →https://doi.org/10.1007/978-1-4612-5648-9openalex-snapshot
The Geometric Vein
inferredcites →https://doi.org/10.1007/978-1-4612-5648-9_7openalex-snapshot
Geometry of Radix Representations
inferredcites →https://doi.org/10.1007/978-3-642-75405-0openalex-snapshot
Number Theory and Physics
inferredcites →https://doi.org/10.1007/978-3-642-75405-0_18openalex-snapshot
Finite Automata in 1-D and 2-D Physics
inferredcites →https://doi.org/10.1007/bf01368783openalex-snapshot
Representations of numbers and finite automata
inferredcites →https://doi.org/10.1007/bf01706087openalex-snapshot
Uniform tag sequences
inferredcites →https://doi.org/10.1007/bf01746527openalex-snapshot
On the base-dependence of sets of numbers recognizable by finite automata
inferredcites →https://doi.org/10.1007/bf03024244openalex-snapshot
Folds!°
inferredcites →https://doi.org/10.1016/0022-247x(81)90262-6openalex-snapshot
Radix representations of quadratic fields
inferredcites →https://doi.org/10.1016/0096-0551(80)90011-9openalex-snapshot
Introduction to automata theory, languages, and computation
inferredcites →https://doi.org/10.1016/0166-218x(94)00132-wopenalex-snapshot
Linear cellular automata, finite automata and Pascal's triangle
inferredcites →https://doi.org/10.1016/0304-3975(92)90001-vopenalex-snapshot
The ring of k-regular sequences
inferredcites →https://doi.org/10.1016/0378-4754(79)90116-2openalex-snapshot
Applied computation theory: Analysis, design, modeling
inferredcites →https://doi.org/10.1016/0378-4754(81)90068-9openalex-snapshot
Introduction to automata theory, languages and computation
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6055-6openalex-snapshot
Automata, Languages, and Machines
inferredcites →https://doi.org/10.1016/s0304-3975(03)00090-2openalex-snapshot
The ring of k-regular sequences, II
inferredcites →https://doi.org/10.1016/s0304-3975(96)00298-8openalex-snapshot
Automaticity of double sequences generated by one-dimensional linear cellular automata
inferredcites →https://doi.org/10.1051/ita/1986200403951openalex-snapshot
A decision method for the recognizability of sets defined by number systems
inferredcites →https://doi.org/10.1080/0025570x.1979.11976792openalex-snapshot
Negative Based Number Systems
inferredcites →https://doi.org/10.1109/12.280811openalex-snapshot
Digit-set conversions: generalizations and applications
inferredcites →https://doi.org/10.1142/s0218127495001216openalex-snapshot
COARSE-GRAINING INVARIANT PATTERNS OF ONE-DIMENSIONAL TWO-STATE LINEAR CELLULAR AUTOMATA
inferredcites →https://doi.org/10.1142/s0218348x9500059xopenalex-snapshot
AUTOMATIC MAPS ON A SEMIRING WITH DIGITS
inferredcites →https://doi.org/10.1145/321264.321274openalex-snapshot
A ``Binary'' System for Complex Numbers
inferredcites →https://doi.org/10.1145/322344.322355openalex-snapshot
Basic digit sets for radix representation
inferredcites →https://doi.org/10.24033/bsmf.1926openalex-snapshot
Suites algébriques, automates et substitutions
inferredcites →https://doi.org/10.24033/bsmf.1962openalex-snapshot
Somme des chiffres et transcendance
inferredcites →https://doi.org/10.5186/aasfm.1989.1411openalex-snapshot
On number systems with negative digits

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-1-4471-0551-0_9openalex-snapshot
Multiscale Coarse-graining Invariant Sequences
inferred← citeshttps://doi.org/10.1007/978-1-4471-0673-9_8openalex-snapshot
On the Number of Kernel Elements of Automatic Sequences
inferred← citeshttps://doi.org/10.1007/978-3-642-14455-4_6openalex-snapshot
Numeration Systems: A Link between Number Theory and Formal Language Theory
inferred← citeshttps://doi.org/10.1007/bfb0024700openalex-snapshot
Parallel and on-line addition in negative base and some complex number systems
inferred← citeshttps://doi.org/10.1007/s00026-003-0180-4openalex-snapshot
A Semigroup Approach to Automaticity
inferred← citeshttps://doi.org/10.1007/s00222-011-0337-4openalex-snapshot
On vanishing coefficients of algebraic power series over fields of positive characteristic
inferred← citeshttps://doi.org/10.1007/s00224-001-1038-yopenalex-snapshot
Directed Graphs and Substitutions
inferred← citeshttps://doi.org/10.1016/j.ffa.2007.06.002openalex-snapshot
Syntactical and automatic properties of sets of polynomials over finite fields
inferred← citeshttps://doi.org/10.1016/j.indag.2016.11.003openalex-snapshot
On automatic subsets of the Gaussian integers
inferred← citeshttps://doi.org/10.1016/j.jnt.2005.05.006openalex-snapshot
Binary number systems for Zk
inferred← citeshttps://doi.org/10.1016/s0304-3975(00)00021-9openalex-snapshot
Decimation-invariant sequences and their automaticity
inferred← citeshttps://doi.org/10.1016/s0304-3975(01)00193-1openalex-snapshot
Symmetries of decimation invariant sequences and digit sets
inferred← citeshttps://doi.org/10.1016/s0304-3975(96)00260-5openalex-snapshot
Bertrand numeration systems and recognizability
inferred← citeshttps://doi.org/10.1017/s0305004108002119openalex-snapshot
Number systems and tilings over Laurent series
inferred← citeshttps://doi.org/10.1023/a:1009831204394openalex-snapshot
On The Sum of Digits Function for Number Systems with Negative Bases
inferred← citeshttps://doi.org/10.1051/ita:1999107openalex-snapshot
On-line finite automata for addition in some numeration systems
inferred← citeshttps://doi.org/10.1109/12.811100openalex-snapshot
Redundant radix representations of rings
inferred← citeshttps://doi.org/10.1109/12.868030openalex-snapshot
On-the-fly algorithms and sequential machines
inferred← citeshttps://doi.org/10.1109/arith.1997.614903openalex-snapshot
On-the fly algorithms and sequential machines
inferred← citeshttps://doi.org/10.1142/s0218127499000043openalex-snapshot
AUTOMATICITY OF COARSE-GRAINING INVARIANT ORBITS OF ONE-DIMENSIONAL LINEAR CELLULAR AUTOMATA
inferred← citeshttps://doi.org/10.1142/s1793042114500389openalex-snapshot
Digit systems over commutative rings
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