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Vasco Brattka and Paola Bonizzoni and S. Barry Cooper and Benedikt Löwe and Elvira Mayordomo Editorial . . . . . . . . . . . . . . . 1--2 Mathieu Hoyrup and Cristóbal Rojas and Klaus Weihrauch Computability of the Radon--Nikodym Derivative . . . . . . . . . . . . . . . 3--13 Samuel Coskey and Joel David Hamkins and Russell Miller The Hierarchy of Equivalence Relations on the Natural Numbers Under Computable Reducibility . . . . . . . . . . . . . . 15--38 John M. Hitchcock Limitations of Efficient Reducibility to the Kolmogorov Random Strings . . . . . 39--43 Philipp Schlicht and Benjamin Seyfferth Tree Representations via Ordinal Machines . . . . . . . . . . . . . . . . 45--57 Alastair A. Abbott and Cristian S. Calude Von Neumann Normalisation of a Quantum Random Number Generator . . . . . . . . 59--83 Denis R. Hirschfeldt and Rebecca Weber Finite Self-Information . . . . . . . . 85--98
Peter A. Cholak and Damir D. Dzhafarov and Noah Schweber and Richard A. Shore Computably Enumerable Partial Orders . . 99--107 Anthony Morphett Incompleteness, Approximation and Relative Randomness . . . . . . . . . . 109--130 Takayuki Kihara Incomputability of Simply Connected Planar Continua . . . . . . . . . . . . 131--152 Wolfgang Merkle and Jason Teutsch Constant Compression and Random Weights 153--169 Alexander P. Kreuzer On the Strength of Weak Compactness . . 171--179 Anonymous Author Index Volume 1 (2012) . . . . . . 181--181
David Diamondstone and Noam Greenberg and Daniel Turetsky Natural Large Degree Spectra . . . . . . 1--8 Hannes Diener Weak König's Lemma Implies the Uniform Continuity Theorem . . . . . . . . . . . 9--13 Kenshi Miyabe $ L^1 $-Computability, Layerwise Computability and Solovay Reducibility 15--29 Hartmut Ehrig and Claudia Ermel and Falk Hüffner and Rolf Niedermeier and Olga Runge Confluence in Data Reduction: Bridging Graph Transformation and Kernelization 31--49 Russell Miller and Hans Schoutens Computably Categorical Fields via Fermat's Last Theorem . . . . . . . . . 51--65 Dimiter Skordev On Some Computability Notions for Real Functions . . . . . . . . . . . . . . . 67--73
François G. Dorais and Jeffry Hirst and Paul Shafer Reverse Mathematics and Algebraic Field Extensions . . . . . . . . . . . . . . . 75--92 Jacob Carson and Jesse Johnson and Julia Knight and Karen Lange and Charles McCoy and John Wallbaum The Arithmetical Hierarchy in the Setting of $ \omega_1 $ . . . . . . . . 93--105 Shinnosuke Seki and Yasushi Okuno On the Behavior of Tile Assembly System at High Temperatures . . . . . . . . . . 107--124 Fernando Soler-Toscano and Hector Zenil and Jean-Paul Delahaye and Nicolas Gauvrit Correspondence and Independence of Numerical Evaluations of Algorithmic Information Measures . . . . . . . . . . 125--140 Anonymous Author Index Volume 2 (2013) . . . . . . 141--142
Keng Meng Ng and André Nies and Frank Stephan The Complexity of Recursive Splittings of Random Sets . . . . . . . . . . . . . 1--8 J. V. Tucker and J. I. Zucker Computability of Operators on Continuous and Discrete Time Streams . . . . . . . 9--44 Cameron Freer and Bjò rn Kjos-Hanssen and André Nies and Frank Stephan Algorithmic Aspects of Lipschitz Functions . . . . . . . . . . . . . . . 45--61 Stela Nikolova Shared thoughts on Ivan--Soskov (1954--2013) . . . . . . . . . . . . . . 63--72
Johanna N. Y. Franklin and Reed Solomon Degrees that Are Low for Isomorphism . . 73--89 Ryan C. Harkins and John M. Hitchcock and A. Pavan Strong Reductions and Isomorphism of Complete Sets . . . . . . . . . . . . . 91--104 Wesley Calvert and Valentina Harizanov and Alexandra Shlapentokh Turing Degrees of Isomorphism Types of Geometric Objects . . . . . . . . . . . 105--134 Cristina Bazgan and Morgan Chopin and André Nichterlein and Florian Sikora Parameterized Inapproximability of Target Set Selection and Generalizations 135--145 Anonymous Author Index Volume 3 (2014) . . . . . . 147--147
Matthias Schröder and Victor Selivanov Hyperprojective hierarchy of qcb$_0$-spaces . . . . . . . . . . . . . 1--17 Amir M. Ben-Amram Mortality of iterated piecewise affine functions over the integers: Decidability and complexity . . . . . . 19--56 Henry Towsner On maximum conservative extensions . . . 57--68 Ludovic Patey The complexity of satisfaction problems in reverse mathematics . . . . . . . . . 69--84
Jack H. Lutz and Neil Lutz Lines missing every random point . . . . 85--102 Kirill Gura and Jeffry L. Hirst and Carl Mummert On the existence of a connected component of a graph . . . . . . . . . . 103--117 Charles M. Harris On limitwise monotonicity and maximal block functions . . . . . . . . . . . . 119--139 Eric P. Astor Asymptotic density, immunity and randomness . . . . . . . . . . . . . . . 141--158 Stanislav O. Speranski Some new results in monadic second-order arithmetic . . . . . . . . . . . . . . . 159--174
Vasco Brattka and Paola Bonizzoni and Olivier Bournez and Elvira Mayordomo Editorial . . . . . . . . . . . . . . . 1--1 Benedikt Löwe Barry Cooper (1943--2015): The engine of \em Computability in Europe . . . . . . 3--11 Denis R. Hirschfeldt and Carl G. Jockusch Jr. and Timothy H. McNicholl and Paul E. Schupp Asymptotic density and the coarse computability bound . . . . . . . . . . 13--27 Sankha S. Basu and Stephen G. Simpson Mass problems and intuitionistic higher-order logic . . . . . . . . . . . 29--47 Albert A. Muchnik Strong and weak reducibility of algorithmic problems1 . . . . . . . . . 49--59 Dag Normann On the Cantor--Bendixson rank of a set that is searchable in Gödel's $T$ . . . . 61--74 Matthew de Brecht and Matthias Schröder and Victor Selivanov Base-complexity classifications of qcb$_0$-spaces1 . . . . . . . . . . . . 75--102
Ian Herbert Lowness for integer-valued randomness 103--109 Mingzhong Cai and Steffen Lempp and Joseph S. Miller and Mariya I. Soskova On Kalimullin pairs . . . . . . . . . . 111--126 Eric Faber and Jaap van Oosten Effective operations of type 2 in PCAs 127--146 Rupert Hölzl and Frank Stephan and Liang Yu On Martin's pointed tree theorem . . . . 147--157 Arno Pauly On the topological aspects of the theory of represented spaces . . . . . . . . . 159--180 Merlin Carl Randomness and degree theory for infinite time register machines . . . . 181--196 Anonymous Author Index Volume 5 (2016) . . . . . . 197--197
Damir D. Dzhafarov and Gregory Igusa Notions of robust information coding . . 105--124 Martin Huschenbett and Alexander Kartzow and Philipp Schlicht Pumping for ordinal-automatic structures $^1$ . . . . . . . . . . . . . . . . . . 125--164 Oscar H. Ibarra and Cewei Cui and Zhe Dang and Thomas R. Fischer Lossiness of communication channels modeled by transducers . . . . . . . . . 165--181 Rica Gonen and Anat Lerner Characterizing incentive compatible, Pareto optimal and sufficiently anonymous constrained combinatorial mechanisms --- Two players case . . . . 183--208 Anonymous Author Index Volume 6 (2017) . . . . . . 209--209
Ludovic Patey Iterative forcing and hyperimmunity in reverse mathematics . . . . . . . . . . 209--221 Merlin Carl Infinite time recognizability from generic oracles and the recognizable jump operator . . . . . . . . . . . . . 223--247 Lars Kristiansen On subrecursive representability of irrational numbers . . . . . . . . . . . 249--276 Manindra Agrawal and Diptarka Chakraborty and Debarati Das and Satyadev Nandakumar Dimension, pseudorandomness and extraction of pseudorandomness . . . . . 277--305
Alexei Miasnikov and Paul Schupp Computational complexity and the conjugacy problem . . . . . . . . . . . 307--318 Emanuele Frittaion and Ludovic Patey Coloring the rationals in reverse mathematics . . . . . . . . . . . . . . 319--331 Arthur Milchior Undecidability of satisfiability of expansions of FO[$<$] over words with a FO[$+$]-definable set . . . . . . . . . 333--363 Francis Adams and Douglas Cenzer Computability and categoricity of weakly ultrahomogeneous structures . . . . . . 365--389 Timothy H. McNicholl Computable copies of $^\ell p$ . . . . . 391--408
Johanna N. Y. Franklin and Dan Turetsky Lowness for isomorphism and degrees of genericity . . . . . . . . . . . . . . . 1--6 Sam Sanders The Gandy--Hyland functional and a computational aspect of nonstandard analysis . . . . . . . . . . . . . . . . 7--43 Shuichi Hirahara and Akitoshi Kawamura On characterizations of randomized computation using plain Kolmogorov complexity . . . . . . . . . . . . . . . 45--56 Zvonko Iljazovi\'c and Bojan Pazek Computable intersection points . . . . . 57--99
Benedikt Löwe Preface to the special issue in memory of S. Barry Cooper (1943--2015) . . . . 101--101 Richard Elwes and Andy Lewis-Pye and Benedikt Löwe and Dugald Macpherson and Dag Normann and Andrea Sorbi and Alexandra A. Soskova and Mariya I. Soskova and Peter van Emde Boas and Stan Wainer S. Barry Cooper (1943--2015) . . . . . . 103--131 S. Barry Cooper and Angsheng Li and Mingji Xia Splitting and jump inversion in the Turing degrees . . . . . . . . . . . . . 133--142 S. Barry Cooper and James Gay and Charles M. Harris and Kyung Il Lee and Anthony Morphett Linearisations and the Ershov hierarchy 143--169 George Barmpalias and Andrew Lewis-Pye and Angsheng Li Pointed computations and Martin-Löf randomness . . . . . . . . . . . . . . . 171--177 Hristo A. Ganchev and Mariya I. Soskova The jump hierarchy in the enumeration degrees . . . . . . . . . . . . . . . . 179--188 Andrew E. M. Lewis-Pye The search for natural definability in the Turing degrees . . . . . . . . . . . 189--235 Klaus Ambos-Spies Automorphism bases for the recursively enumerable degrees . . . . . . . . . . . 237--258 Cristian S. Calude and Monica Dumitrescu A probabilistic anytime algorithm for the halting problem . . . . . . . . . . 259--271 Sanjay Jain and Bakhadyr Khoussainov and Frank Stephan Finitely generated semiautomatic groups 273--287
Diogo Poças and Jeffery Zucker Analog networks on function data streams 301--322 Ludovic Patey Partial orders and immunity in reverse mathematics . . . . . . . . . . . . . . 323--339 Spencer Backman and Tony Huynh Transfinite Ford--Fulkerson on a finite network . . . . . . . . . . . . . . . . 341--347 Matthew Wright Degrees of relations on ordinals . . . . 349--365 Joe Davidson and Greg Michaelson Expressiveness, meanings and machines 367--394
Mark Armstrong and Jeffery Zucker Notions of semicomputability in topological algebras over the reals . . 1--26 Petr A. Golovach and Matthew Johnson and Barnaby Martin and Daniël Paulusma and Anthony Stewart Surjective $H$-colouring: New hardness results . . . . . . . . . . . . . . . . 27--42 Lars Kristiansen On subrecursive representability of irrational numbers, part II . . . . . . 43--65 Arnold Beckmann and Sam Buss and Sy-David Friedman and Moritz Müller and Neil Thapen Feasible set functions have small circuits . . . . . . . . . . . . . . . . 67--98
Russell Miller Isomorphism and classification for countable structures . . . . . . . . . . 99--117 John Longley Bar recursion is not computable via iteration . . . . . . . . . . . . . . . 119--153 Eric P. Astor and Denis R. Hirschfeldt and Carl G. Jockusch Jr. Dense computability, upper cones, and minimal pairs . . . . . . . . . . . . . 155--177 Timothy H. McNicholl and Donald M. Stull The isometry degree of a computable copy of $\ell p$ . . . . . . . . . . . . . . 179--189
Vasco Brattka and Rod Downey and Julia F. Knight and Steffen Lempp Preface of the special issue for the Oberwolfach Workshop on Computability Theory 2018 . . . . . . . . . . . . . . 191--191 Uri Andrews and Andea Sorbi Joins and meets in the structure of ceers . . . . . . . . . . . . . . . . . 193--241 Ellen Chih and Rod G. Downey Splitting theorems and low degrees . . . 243--252 Barbara F. Csima and Damir D. Dzhafarov and Denis R. Hirschfeldt and Carl G. Jockusch, Jr. and Reed Solomon and Linda Brown Westrick The reverse mathematics of Hindman's Theorem for sums of exactly two elements 253--263 Ekaterina Fokina and Dino Rossegger and Luca San Mauro Measuring the complexity of reductions between equivalence relations . . . . . 265--280 Guido Gherardi and Alberto Marcone and Arno Pauly Projection operators in the Weihrauch lattice . . . . . . . . . . . . . . . . 281--304 Noam Greenberg and Rutger Kuyper and Dan Turetsky Cardinal invariants, non-lowness classes, and Weihrauch reducibility . . 305--346 Matthew Harrison-Trainor A first-order theory of Ulm type . . . . 347--358 Matthew Harrison-Trainor and Bakh Khoussainov and Daniel Turetsky Effective aspects of algorithmically random structures . . . . . . . . . . . 359--375 Ulrich Kohlenbach On the reverse mathematics and Weihrauch complexity of moduli of regularity and uniqueness . . . . . . . . . . . . . . . 377--387
Henning Fernau and Till Fluschnik and Danny Hermelin and Andreas Krebs and Hendrik Molter and Rolf Niedermeier Diminishable parameterized problems and strict polynomial kernelization . . . . 1--24 Paul Shafer The strength of compactness for countable complete linear orders . . . . 25--36 Peter Gerdes An $ \omega $-REA set forming a minimal pair with $ 0 \sim '$ . . . . . . . . . 37--50 Pietro Milici A differential extension of Descartes' foundational approach: a new balance between symbolic and analog computation 51--83
Damir D. Dzhafarov and Jun Le Goh and Denis R. Hirschfeldt and Ludovic Patey and Arno Pauly Ramsey's theorem and products in the Weihrauch degrees . . . . . . . . . . . 85--110 Reese Johnston Cantor--Bendixson ranks of effectively closed sets in admissible recursion theory . . . . . . . . . . . . . . . . . 111--125 Barbara F. Csima and Michael Deveau and Matthew Harrison-Trainor and Mohammad Assem Mahmoud Degrees of categoricity above limit ordinals . . . . . . . . . . . . . . . . 127--137 Lorenzo Carlucci and Leszek Aleksander Ko\lodziejczyk and Francesco Lepore and Konrad Zdanowski New bounds on the strength of some restrictions of Hindman's Theorem . . . 139--153 Cristian S. Calude and Monica Dumitrescu A statistical anytime algorithm for the Halting Problem . . . . . . . . . . . . 155--166
Vasco Brattka and Damir D. Dzhafarov and Alberto Marcone and Arno Pauly Dagstuhl Seminar on Measuring the Complexity of Computational Content 2018 167--168 Matthew de Brecht and Arno Pauly and Matthias Schröder Overt choice . . . . . . . . . . . . . . 169--191 Peter A. Cholak and Damir D. Dzhafarov and Denis R. Hirschfeldt and Ludovic Patey Some results concerning the SRT22 vs. COH problem . . . . . . . . . . . . . . 193--217 Caleb Davis and Denis R. Hirschfeldt and Jeffry Hirst and Jake Pardo and Arno Pauly and Keita Yokoyama Combinatorial principles equivalent to weak induction . . . . . . . . . . . . . 219--229 Jun Le Goh Compositions of multivalued functions 231--247 Peter Hertling Forests describing Wadge degrees and topological Weihrauch degrees of certain classes of functions and relations . . . 249--307 Jeffry L. Hirst Leaf management . . . . . . . . . . . . 309--314 Takako Nemoto A constructive proof of the dense existence of nowhere-differentiable functions in $ C[0, 1] $ . . . . . . . . 315--326 Victor Selivanov $Q$-Wadge degrees as free structures . . 327--341
Nikolay Bazhenov and Ekaterina Fokina and Dino Rossegger and Luca San Mauro Degrees of bi-embeddable categoricity 1--16 Makoto Fujiwara Weihrauch and constructive reducibility between existence statements . . . . . . 17--30 Sam Sanders Nets and reverse mathematics . . . . . . 31--62 Michal Konecný and Eike Neumann Representations and evaluation strategies for feasibly approximable functions . . . . . . . . . . . . . . . 63--89