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Bibliography on the ANLDE Theory
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Miguel Filgueiras, Ana-Paula Tomas.
Solving Linear Constraints on Finite Domains through Parsing.
In P. Barahona, L. Moniz Pereira, A. Porto (eds.),
Proceedings of the 5th Portuguese Conference on Artificial Intelligence,
Springer-Verlag, 1991. LNAI 541. pp.1-16.
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Yury A. Bogoyavlensky, Dmitry G. Korzun,
General solution of a linear diophantine system associated
with a context-free grammar.
Transactions of the Petrozavodsk State University,
issue on Applied Mathematics and Computer Science,
vol.6. Petrozavodsk, 1997. pp.79-94.
(In Russian.
Obshchiy vid resheniya sistemy
lineynih diophantovih uravneniy, associirovannoy
s kontextno-svobodnoy grammatikoy.
Trudy Petrozavodskogo gosudarstvennogo universiteta.
Ser. "Prikladnaya matematika i informatika". Vyp.6.)
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Dmitry G. Korzun,
Solution for one class of a linear diophantine equations
by methods of the formal languages theory.
Transactions of the Petrozavodsk State University,
issue on Applied Mathematics and Computer Science,
vol.7. Petrozavodsk, 1998. pp.93-116.
(In Russian.
Reshenie odnogo klassa
lineynih diophantovih uravneniy v neotricatel'nih celyh chislah
metodami teorii formal'nih yazykov.
Trudy Petrozavodskogo gosudarstvennogo universiteta.
Ser. "Prikladnaya matematika i informatika". Vyp.7.)
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Dmitry G. Korzun,
On the existance of a generating CF-grammar for arbitrary
linear diophantine system.
Transactions of the Petrozavodsk State University,
issue on Mathematics,
vol.6. Petrozavodsk, 1999. pp.34-40.
(In Russian.
O sushchestvovanii
porozhdayushchey KS-grammatiki dlya proizvol'noy
lineynoy diophantovoy sistemy.
Trudy Petrozavodskogo gosudarstvennogo universiteta.
Ser. "Matematika". Vyp.6.)
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Dmitry G. Korzun,
Grammar-Based Algorithms
for Solving Certain Classes of Nonnegative
Linear Diophantine Systems.
Transactions of the international seminar
Finnish Data Processing Week at the University of Petrozavodsk
(FDPW'2000): Advances in Methods of Modern Information Technology.
Vol.3. Petrozavodsk, 2001. pp.52-67.
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Dmitry G. Korzun,
On a relation between formal grammars and systems of linear
diophantine equations.
Bulletin of young scientists.
Issue on Applied Mathematics and Mechanics, No 3, 2000.
pp.34-40.
(In Russian.
Ob odnoy vazaimosvyazi
formal'nyh grammatik i sistem lineynih diophantovih uravneniy.
Vestnik molodyh uchenyh.
Ser. "Prikladnaya matematika i mehanika", 2000, N3.)
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Dmitry G. Korzun,
Syntactic Algorithms for Solving Nonnegative Linear Diophantine
Equations and their Application for Modelling of Internet Link
Workload Structure.
PhD Thesis, Department of Computer Science, University of
Petrozavodsk, 2002. 185p. (in Russian)
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Dmitry G. Korzun, Kirill A. Kulakov
Generating Homogeneous Systems of Equations for Testing and
Experimental Analysis of Linear Diophantine Solvers
Transactions of the international seminar
Finnish Data Processing Week at the University of Petrozavodsk
(FDPW'2003): Advances in Methods of Modern Information Technology.
Vol.5. Petrozavodsk, 2005. pp.259-278.
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Dmitry G. Korzun
Syntactic Methods in Solving Linear Diophantine Equations
Transactions of the international seminar
Finnish Data Processing Week at the University of Petrozavodsk
(FDPW'2004): Advances in Methods of Modern Information Technology.
Vol.6. Petrozavodsk, 2005. pp.151-156.
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