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MATH 8714: Topics in Logic
Spring 2015
MWF 12:00-12:50 pm, HUMN 335
Resources
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Barto, Libor;
Kozik, Marcin
Constraint Satisfaction Problems Solvable by Local Consistency Methods.
Journal of the ACM, 61 (2014), Issue 1, Article No. 3.
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Barto, L.;
Kozik, M.;
Niven, T.
The CSP dichotomy holds for digraphs with no sources and no sinks
(a positive answer to a conjecture of Bang-Jensen and Hell).
SIAM Journal on Computing 38/5 (2009), 1782-1802.
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van Benthem, Johan;
Doets, Kees
Higher-order logic.
Handbook of philosophical logic, Vol. 1, 189-243,
Kluwer Acad. Publ., Dordrecht, 2001.
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Berman, J.;
Idziak, P.;
Markovic, P.;
McKenzie, R.;
Valeriote, M.
Willard, R.
Varieties with few subalgebras of powers.
Trans. Amer. Math. Soc. 362 (2010), 1445-1473.
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Bodirsky, Manuel
Cores of countably categorical structures.
Log. Methods Comput. Sci. 3 (2007), no. 1, 1:2, 16 pp.
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Bodirsky, Manuel
Constraint Satisfaction Problems with Infinite Templates.
Survey, in LNCS 5250, Complexity of Constraints -
An Overview of Current Research Themes.
Creignou, N., Kolaitis, P.G., Vollmer, H. (Eds.)
pp. 196-228, 2008, ISBN 978-3-540-92799-0.
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Bodirsky, Manuel;
Kara, Jan
The complexity of temporal constraint satisfaction problems.
Journal of the ACM,
57 (2010), Issue 2, Article No. 9.
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Bodirsky, Manuel;
Pinsker, Michael
Reducts of Ramsey structures.
in: Contemporary Mathematics, vol. 558, American Mathematical Society, 2011;
pp. 489-519.
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Bodirsky, Manuel;
Pinsker, Michael
Schaefer's theorem for graphs.
Preprint.
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Bulatov, Andrei
A dichotomy theorem for constraint satisfaction problems on a 3-element set.
Journal of the ACM 53 (2006), Issue 1, 66-120.
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Bulatov, Andrei
Complexity of conservative constraint satisfaction problems.
ACM Transactions in Computational Logic 12 (4), 2011, paper 24.
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Bulatov, Andrei;
Jeavons, Peter;
Krokhin, Andrei
Classifying the complexity of constraints using finite algebras.
SIAM J. Comput. 34 (2005), no. 3, 720 - 742.
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Fagin, Ronald
Generalized first-order spectra and polynomial-time recognizable sets.
Complexity of computation
(Proc. SIAM-AMS Sympos. Appl. Math., New York, 1973),
pp. 43-73. SIAM-AMS Proc., Vol. VII, Amer. Math. Soc., Providence, R.I., 1974.
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Feder, Tomás; Vardi, Moshe Y.
The computational structure of monotone monadic SNP and constraint satisfaction:
a study through Datalog and group theory.
SIAM J. Comput. 28 (1999), no. 1, 57-104 (electronic).
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Hillebrand, G. G.; Kanellakis, P. C.;
Mairson, H. G.; Vardi, M. Y.;
Tools for Datalog boundedness.
PODS '91 Proceedings of the tenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems, pp. 1-12.
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Hopcroft, John E.;
Ullman, Jeffrey D.
Introduction to automata theory, languages, and computation
1979.
Engineering, Math, Physics Library--Stacks (Call number: QA267 .H56)
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Idziak, P.;
Markovic, P.;
McKenzie, R.;
Valeriote, M.
Willard, R.
Tractability and learnability arising from algebras with few subpowers.
SIAM J. Comput. 39 no. 7 (2010), 3023-3037 (electronic).
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Kozik, M.;
Krokhin, A.;
Valeriote, M.;
Willard, R.
Characterizations of several Maltsev conditions.
Preprint, 2014.
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Kearnes, Keith A.;
Markovic, Petar;
McKenzie, Ralph N.
Optimal strong Mal'cev conditions for omitting type 1 in
locally finite varieties.
Algebra Universalis 72 (2014), no. 1, 91 - 100.
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Kun, Gabor
Constraints, MMSNP and expander relational structures.
Combinatorica 33 (2013), no. 3, 335 - 347.
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Kun, Gabor;
Nesetril, Jaroslav
Forbidden lifts (NP and CSP for combinatorialists).
European J. Combin. 29 (2008), no. 4, 930 - 945.
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Pippenger, N.; Fischer, M. J.
Relations Among Complexity Measures.
Journal of the ACM 26 (1979), 361 - 381.
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Schaefer, Thomas J.
The Complexity of Satisfiability Problems.
STOC 1978. pp. 216-226.
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Szendrei, A
The Galois Connection between Operations and Relations.
(unpublished notes)
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Two Proofs of Ladner's Theorem.
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