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Publications

A. Atserias, M. Müller.
Simple general magnification of circuit lower bounds.
Submitted.
pdf          
M. Müller, J. Joosten.
Model-checking in the foundations of algorithmic law and the case of Regulation 561.
Submitted.
pdf  
A. Atserias, S. Buss, M. Müller.
On the consistency of circuit lower bounds for non-deterministic time.
Journal of Mathematical Logic, to appear.
pdf
doi
Preliminary:
STOC23
Y. Chen, M. Müller, K. Yokoyama.
A parameterized halting problem, Δ0 truth and the MRDP theorem.
The Journal of Symbolic Logic 90 (2): 483-508, 2025.
pdf
doi
Preliminary:
LICS18
M. Müller.
Review of Jan Krajícek, Proof Complexity.
Bulletin of Symbolic Logic 29 (2): 296-297, 2023.
pdf 
doi
 
Y. Chen, J. Flum, M. Müller.
A surprising relationship between descriptive complexity and proof complexity.
Bulletin of the EATCS 138: 145-152, 2022.
pdf
here
N. Barton, M. Müller, M. Prunescu.
On representations of intended structures in foundational theories.
Journal of Philosophical Logic 51: 283-296, 2022.
pdf
doi
M. Müller.
Typical forcing, NP search problems and an extension of a theorem of Riis.
Annals of Pure and Applied Logic 172 (4): 102930, 2021.
pdf
doi
A. Atserias, M. Müller.
Automating Resolution is NP-hard.
Journal of the ACM 67 (5): Article 31, 2020.
pdf
doi
Preliminary:
FOCS19
best paper
M.Müller, J.Pich.
Feasibly constructive proofs of succinct weak circuit lower bounds.
Annals of Pure and Applied Logic 171 (2): Article 102735, 2020.
pdf
doi
J. Bydzovsky, M. Müller.
Polynomial time ultrapowers and the consistency of circuit lower bounds.
Archive for Mathematical Logic 59 (1): 127-147, 2020.
pdf
doi
Y. Chen, M. Elberfeld, M. Müller.
The parameterized space complexity of model-checking bounded variable first-order logic.
Logical Methods in Computer Science 15(3): 31:1-31:29, 2019. 
pdf
doi
Preliminary:
MFCS14
A. Beckmann, S. Buss, S.-D. Friedman, M. Müller, N. Thapen.
Feasible set functions have small circuits.
Computability 8 (1): 67-98, 2019. 
pdf
doi
J. Maly, M. Müller.
A remark on pseudo proof systems and hard instances of the satisfiability problem.
Mathematical Logic Quarterly 64 (6): 418-428, 2018.
pdf
doi
H. Chen, M. Müller.
One hierarchy spawns another: graph deconstructions and the complexity classification of conjunctive queries.
ACM Transactions on Computational Logic 18 (4): Article No. 29, 2017.
pdf
doi
Preliminary:
CSL-LICS14
H. Chen, M. Müller.
The parameterized space complexity of embedding along a path.
Theory of Computing Systems 61 (3): 851-870, 2017.
pdf
doi
A. Beckmann, S. Buss, S.-D. Friedman, M. Müller, N. Thapen.
Cobham recursive set functions and weak set theories.
Sets and Computations, Lecture Notes Series 33, IMS NUS, World Scientific, Chapter 5, pp. 55-116, 2017.
pdf
doi
M. Müller, S. Szeider
The treewidth of proofs.
Information and Computation 255 (1): 147-164, 2017.
pdf
doi
 
Preliminary:
MFCS13
A. Beckmann, S. Buss, S.-D. Friedman, M. Müller, N. Thapen.
Cobham recursive set functions.
Annals of Pure and Applied Logic 167 (3): 335-369, 2016. 
pdf
doi
 
M. Müller.
Proofs and Constraints.
Habilitationsschrift, Universität Wien, 2016. 
pdf
H. Chen, M. Müller.
The fine classification of conjunctive queries and parameterized logarithmic space.
ACM Transactions on Computation Theory 7 (2): Article No. 7, 2015.
pdf
doi
Preliminary:
PODS13
A. Atserias, M. Müller, S. Oliva. 
Lower bounds for DNF-refutations of a relativized weak pigeonhole principle.
The Journal of Symbolic Logic 80 (2): 450-476, 2015.
pdf
doi
Preliminary:
CCC13
M. Müller, A. Pongrácz.
Topological dynamics of unordered Ramsey structures.
Fundamenta Mathematicae 230 (1): 77-98, 2015.
pdf
doi
A. Atserias, M. Müller. 
Partially definable forcing and bounded arithmetic.
Archive for Mathematical Logic 54 (1): 1-33, 2015.
pdf
doi
Y. Chen, J. Flum, M. Müller.
Hard instances of algorithms and proof systems.
ACM Transactions on Computation Theory 6 (2): Article No. 7, 2014.
pdf
doi
Preliminary:
CiE12
M. Müller.
Parameterized logarithmic space and fine structure of FPT.
FPT News: The Parameterized Complexity Newsletter Vol. 10 No. 2, September 2014.
pdf
Y. Chen, J. Flum, M. Müller.
Consistency, optimality and incompleteness.
Annals of Pure and Applied Logic 164 (12): 1224-1235, 2013.
pdf
doi
Preliminary:
CiE11
H. Chen, M. Müller. 
An algebraic preservation theorem for Aleph_0 categorical quantified constraint satisfaction.
Logical Methods in Computer Science 9 (1:15), 2013.
pdf
doi
Preliminary:
LICS12
J.-A. Montoya, M. Müller.
Parameterized random complexity.
Theory of Computing Systems 52 (2): 221-270, 2013.
pdf
doi
IWPEC06
IWPEC08
ECCC08
J. Flum, M. Müller. 
Some definitorial suggestions for parameterized proof complexity.  
7th Int. Symp. on Parameterized and Exact Computation (IPEC), LNCS 7535, pp. 73-84, 2012.
pdf
doi
Y. Chen, J. Flum, M. Müller.
On optimal probabilistic algorithms for SAT. 
The Infinity Project, A 2009 - 2011 Research Programme, CRM Publications, pp. 225-230, 2012.
pdf
S. Buss, Y. Chen, J. Flum, S.-D. Friedman, M. Müller.
Strong isomorphism reductions in complexity theory.
The Journal of Symbolic Logic 76 (4): 1381-1402, 2011.
pdf
doi
Y. Chen, J. Flum, M. Müller.
Lower bounds for kernelizations and other preprocessing procedures.
Theory of Computing Systems 48 (4): 803-839, 2011.
pdf
doi
Preliminary:
CiE09
M. Müller.
A comparison of two aesthetic principles (in german).
In F. Bomski, S. Suhr (eds.), Fiktum versus Faktum? Erich Schmidt Verlag, 2011.
pdf
here
M. Fellows, J. Flum, D. Hermelin, M. Müller, F. Rosamond.
W-hierarchies defined by symmetric gates.
Theory of Computing Systems 46 (2): 311-339, 2010. 
pdf
doi
Preliminary:
IWPEC08
ACiD07
M. Müller, I. van Rooij, T. Wareham. 
Similarity as tractable transformation. 
31th Annual Conference of the Cognitive Science Society (CogSci), 2009.
pdf
here
M. Müller.
Parameterized Randomization.
Doctoral Dissertation, Albert-Ludwigs Universität Freiburg i.Br., 2008. 
pdf
 
I. van Rooij, T. Wareham, M. Müller. 
Computational complexity analysis can help, but first we need a theory. 
Behavioral and Brain Sciences 31 (4): 399-400, 2008.
pdf
doi
I. van Rooij, P. Evans, M. Müller. J. Gedge, T. Wareham. 
Identifying sources of intractability in cognitive models: an illustration using analogical structure mapping.
30st Annual Conference of the Cognitive Science Society (CogSci), 2008.
pdf
here

 

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