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Salomaa A., Soittola M. — Automata-Theoretic Aspects of Formal Power Series
Salomaa A., Soittola M. — Automata-Theoretic Aspects of Formal Power Series



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Название: Automata-Theoretic Aspects of Formal Power Series

Авторы: Salomaa A., Soittola M.

Язык: en

Рубрика: Математика/Алгебра/Вычислительная алгебра/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1978

Количество страниц: 171

Добавлена в каталог: 23.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Algebraic series      120
Algebraic transduction      159
Algebraic transduction, regulated      159
Algebraic-rational transduction      159
Alphabet      4
Automaton      7
Automaton, deterministic pushdown      8
Automaton, finite deterministic      7
Automaton, finite nondeterministic      7
Automaton, linear bounded      7
Automaton, probabilistic      9
Automaton, pushdown      8
Catenation      4
Catenation closure      4
Cauchy product      12
Characteristic series      12
Chomsky normal form      6
Chomsky — Schutzenberger Theorem      144
Coding homomorphism      5
Coefficient      11
Commutative variant      147
Convergence      13
Decomposition of sequences      101
Degree of ambiguity      7
Density of language      91 94
Derivation      6
Derivation tree      6
Diagonal of series      150
Direct product of monoids      1
DOL system      10
Double stochastic matrix      10
DTOL function      96
DTOL function, series      97
DTOL function, system      10
Dyck mapping      138
Equivalence of grammars      5
Family of series      80
Fatou extension      41 156
Formal power series      11
Formal power series, A-algebraic      120
Formal power series, A-rational      14
Formal power series, A-recognizable      14
Formal power series, A-semi-algebraic      155
Formal power series, characteristic      12
Formal power series, commutative      72
Formal power series, DTOL      97
Formal power series, generated by grammar      122
Formal power series, PDTOL      97
Formal power series, positive      47
Formal power series, quasiregular      13
Formal power series, rational regulated      68
Generating function      53
Grammar      5
Grammar, ambiguous      6
Grammar, context-free      6
Grammar, context-sensitive      6
Grammar, supporting      121
Grammar, type of      5
Grammar, unambiguous      7
Grammar, weighted      7
Greibach normal form      6
Growth function      96
Growth matrix      96
Growth sequence      96
gsm mapping      9
Hadamard product      13
Hankel matrix      24
Hilbert's tenth problem      11
Homomorphism      2 4
Hurwitz product      35
Input      8
Kleene star      4
Kronecker product      3
Language      4
Language, A-algebraic      120
Language, A-corational      81
Language, A-rational      81
Language, context-free      6
Language, context-sensitive      6
Language, costochastic      9
Language, deterministic      8
Language, Dyck      6
Language, inherently ambiguous      7
Language, Lukasiewicz      121
Language, recursively enumerable      6
Language, regular      6
Language, stochastic      9
Language, unambiguous      7
Length of word      4
letter      4
Mergeable sequences      101
Monoid      1
Monoid, commutative      1
Monoid, free      1
Monoid, involutive      138
Monomial      12
Nonterminal      5
OL system      10
Parikh vector      5
Polynomial      12
Post Correspondence Problem      1
Production      5
Projection      33
Quasi-inverse      14
Quasiregular series      13
Rank of series      26
Rational cone      80
Rational cone, principal      160
Rational cone, regulated      80
Rational series      14
Rational transduction      77
Rational transduction of languages      80
Rational transduction of series      77
Rational transduction, inverse of      80
Rational transduction, regulated      77
Recognizable series      14
Regular expression      6
Representation      3
Representation, regulated      68
Rewriting system      5
Schuetzenberger Representation      7 22
Semimodule      2
Semimodule, cancellative      3
Semimodule, stable      25
Semiring      1
Semiring, Boolean      2
Semiring, commutative      2
Semiring, complete      33
Semiring, positive      37
Semiring, topological      3
SEQUENCE      53
Sequence, algebraic      150
Sequence, DOL      97
Sequence, PDOL      97
Sequence, positive      61
Sequence, rational      53
Sequential transducer      8
Series      see Formal power series
Shamir — Nivat Theorem      141
Shamir's Theorem      138
Shuffle product      5 35
State      7 8
Stochastic matrix      9
Strong solution      154
Structure generating function      137
Substitution      4
Substitution of languages      4
Substitution of series      14
Subword      4
Sum of series      11 54
Support      12
System of equations      18
System of equations, algebraic      118
System of equations, proper algebraic      119
System of equations, proper linear      18
System of equations, quadratic form of      127
Terminal      5
TOL system      10
Turakainen's Theorem      83
Turing machine      7
Word      4
Word, circular      35
Word, empty      4
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