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A
- Amsterdam
- in: Blumensath A., Colcombet T. and Löding C.
"Logical theories and compatible operations" (2007)
- Anal
- in: Gerhardy P.
"A quantitative version of Kirk's fixed point theorem for asymptotic contractions" (2006)
- in: Kohlenbach U.
"Uniform asymptotic regularity for Mann iterates" (2003)
- in: Kohlenbach U.
"A quantitative version of a theorem due to Borwein-Reich-Shafrir" (2001)
- Analyses
- in: Despres L.M. and Kohlenbach U.
"Herbrand analyses in geometry: a case study" (2025)
- Analysis
- in: Bacak M. and Kohlenbach U.
"On proximal mappings with Young functions in uniformly convex Banach spaces" (2018)
- in: Briseid E.M.
"A New Uniformity for Asymptotic Contractions in the Sense of Kirk" (2010)
- in: Briseid E.M.
"Fixed Points of Generalized Contractive Mappings" (2008)
- in: Briseid E.M.
"A Rate of Convergence for Asymptotic Contractions" (2007)
- in: Canavoi F. and Otto M.
"Common knowledge and multi-scale locality analysis in Cayley structures" (2017)
- in: Di Nola A., Georgescu G. and Leuştean L.
"Boolean products of BL-algebras" (2000)
- in: Dinis B. and Pinto P.
"Quantitative Results on the Multi-Parameters Proximal Point Algorithm" (2021)
- in: Findling R. and Kohlenbach U.
"Rates of convergence and metastability for Chidume's algorithm for the approximation of zeros of accretive operators in Banach spaces" (2024)
- in: Freund A. and Kohlenbach U.
"R.E. Bruck, proof mining and a rate of asymptotic regularity for ergodic averages in Banach spaces" (2022)
- in: Gerhardy P. and Kohlenbach U.
"General logical metatheorems for functional analysis" (2008)
- in: Gerhardy P. and Kohlenbach U.
"General Logical Metatheorems for Functional Analysis" (2005)
- in: Gerhardy P.
"Improved Complexity Analysis of Cut Elimination and Herbrand's Theorem" (2003)
- in: Gerhardy P.
"Refined Complexity Analysis of Cut Elimination" (2003)
- in: Hernest M.D. and Kohlenbach U.
"A Complexity Analysis of Functional Interpretations" (2005)
- in: Körnlein D. and Kohlenbach U.
"Rate of metastability for Bruck's iteration of pseudocontractive mappings in Hilbert space" (2014)
- in: Keimel K.
"Topological Cones: Functional Analysis in a T-Setting" (2008)
- in: Khan M.A.A. and Kohlenbach U.
"Quantitative image recovery theorems" (2014)
- in: Khan M.A.A. and Kohlenbach U.
"Bounds on Kuhfittig's iteration schema in uniformly convex hyperbolic spaces" (2013)
- in: Kohlenbach U. and Pinto P.
"Fejér monotone sequences revisited" (2025)
- in: Kohlenbach U. and Pischke N.
"Proof theory and nonsmooth analysis" (2023)
- in: Kohlenbach U. and Pinto P.
"Quantitative translations for viscosity approximation methods in hyperbolic spaces" (2022)
- in: Kohlenbach U., López-Acedo G. and Nicolae A.
"A uniform betweenness property in metric spaces and its role in the quantitative analysis of the Lion-Man game" (2021)
- in: Kohlenbach U.
"Quantitative results on the Proximal Point Algorithm in uniformly convex Banach spaces" (2021)
- in: Kohlenbach U.
"Local formalizations in nonlinear analysis and related areas and proof-theoretic tameness" (2020)
- in: Kohlenbach U.
"Quantitative analysis of a Halpern-type Proximal Point Algorithm for accretive operators in Banach spaces" (2020)
- in: Kohlenbach U.
"Quantitative analysis of a Halpern-type Proximal Point Algorithm for accretive operators in Banach spaces" (2020)
- in: Kohlenbach U.
"Proof-theoretic methods in nonlinear analysis" (2019)
- in: Kohlenbach U.
"Recent progress in proof mining in nonlinear analysis" (2017)
- in: Kohlenbach U. and Safarik P.
"Fluctuations, effective learnability and metastability in analysis" (2014)
- in: Kohlenbach U.
"On the asymptotic behavior of odd operators" (2011)
- in: Kohlenbach U.
"On the logical analysis of proofs based on nonseparable Hilbert space theory" (2010)
- in: Kohlenbach U.
"Effective bounds from proofs in abstract functional analysis" (2008)
- in: Kohlenbach U. and Leuştean L.
"Approximate fixed points of nonexpansive functions in product spaces" (2007)
- in: Kohlenbach U.
"Proof mining in functional analysis (abstract)" (2005)
- in: Kohlenbach U.
"Some Logical Metatheorems with Applications in Functional Analysis" (2005)
- in: Kohlenbach U.
"Some computational aspects of metric fixed point theory" (2005)
- in: Kohlenbach U. and Leuştean L.
"Mann iterates of directionally nonexpansive mappings in hyperbolic spaces" (2003)
- in: Kohlenbach U.
"Applied foundations: proof mining in analysis" (2002)
- in: Kohlenbach U.
"On the computational content of the Krasnoselski and Ishikawa fixed point theorems" (2001)
- in: Kohlenbach U.
"The use of a logical principle of uniform boundedness in analysis" (1999)
- in: Kohlenbach U.
"Arithmetizing proofs in analysis" (1998)
- in: Kohlenbach U.
"Elimination of Skolem functions for monotone formulas in analysis" (1998)
- in: Kohlenbach U.
"Proof theory and computational analysis" (1998)
- in: Kohlenbach U.
"Analysing proofs in analysis" (1996)
- in: Kohlenbach U.
"Mathematically strong subystems of analysis with low rate of growth of provably recursive functionals" (1996)
- in: Kohlenbach U.
"New effective moduli of uniqueness and uniform a-priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory" (1993)
- in: Kohlenbach U.
"New effective moduli of uniqueness and uniform a-priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory" (1993)
- in: Kohlenbach U.
"Effective bounds from ineffective proofs in analysis: an application of functional interpretation and majorization" (1992)
- in: Koutsoukou-Argyraki A. and Kohlenbach U.
"Effective asymptotic regularity for one-parameter nonexpansive semigroups" (2016)
- in: Koutsoukou-Argyraki A. and Kohlenbach U.
"Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators" (2015)
- in: Kreuzer A.P.
"A logical analysis of the generalized Banach contractions principle." (2012)
- in: Kreuzer A.P.
"A logical analysis of the generalized Banach contractions principle." (2012)
- in: Leuştean L. and Sipoş A.
"Effective strong convergence of the proximal point algorithm in CAT(0) spaces" (2018)
- in: Leuştean L.
"A quadratic rate of asymptotic regularity in CAT(0)-spaces" (2007)
- in: Pauly A. and Ziegler M.
"Relative Computability and Uniform Continuity of Relations" (2013)
- in: Pinto P.
"On the finitary content of Dykstra's cyclic projections algorithm" (2025)
- in: Pinto P.
"A rate of metastability for the Halpern type Proximal Point Algorithm" (2021)
- in: Pischke N. and Kohlenbach U.
"Effective rates for iterations involving Bregman strongly nonexpansive operators" (2024)
- in: Pischke N.
"Rates of convergence for the asymptotic behavior of second-order Cauchy problems" (2024)
- in: Pischke N.
"On Korpelevich's Extragradient Algorithm" (2023)
- in: Pischke N.
"Quantitative Results on Algorithms for Zeros of Differences of Monotone Operators in Hilbert Space" (2023)
- in: Pischke N. and Kohlenbach U.
"Quantitative analysis of a subgradient-type method for equilibrium problems" (2022)
- in: Safarik P.
"A quantitative nonlinear strong ergodic theorem for Hilbert spaces." (2012)
- in: Streicher T.
"Universes in Toposes" (2005)
- Analytic
- in: Fedel M., Keimel K., Montagna F. and Roth W.
"Imprecise probabilities, bets, and functional analytic methods in Lukasiewicz logic" (2013)
- in: Gärtner T. and Ziegler M.
"Real Analytic Machines and Degrees" (2011)
- Ann
- in: Berg (van den) B., Briseid E.M. and Safarik P.
"A functional interpretation for nonstandard arithmetic." (2012)
- in: Blumensath A.
"Bounded Arithmetic and Descriptive Complexity" (2000)
- in: Gerhardy P. and Kohlenbach U.
"Strongly uniform bounds from semi-constructive proofs" (2006)
- Annals
- in: Awodey S., Butz C., Simpson A. and Streicher T.
"Relating first-order set theories, toposes and categories of classes." (2014)
- in: Blumensath A.
"A Model Theoretic Characterisation of Clique-Width" (2006)
- in: Dawar A. and Otto M.
"Modal Characterisation Theorems over Special Classes of Frames" (2009)
- in: Escardó M. and Streicher T.
"The intrinsic topology of Martin-Löf universes" (2016)
- in: Freund A. and Rathjen M.
"Derivatives of normal functions in reverse mathematics" (2021)
- in: Keimel K. and Lawson J.D.
"-completions and the -topology" (2009)
- in: Keimel K., Rosenbusch A.P. and Streicher T.
"A Minkowksi Type Duality Mediating Between State and Predicate Transformer Semantics for a Probabilistic Nondeterministic Language" (2009)
- in: Kohlenbach U. and Safarik P.
"Fluctuations, effective learnability and metastability in analysis" (2014)
- in: Kohlenbach U.
"Gödel functional interpretation and weak compactness" (2012)
- in: Kohlenbach U. and Oliva P.
"Proof mining in L-approximation" (2003)
- in: Kohlenbach U.
"On uniform weak König's lemma" (2002)
- in: Kohlenbach U.
"Things that can and things that can't be done in PRA" (2000)
- in: Kohlenbach U.
"On the arithmetical content of restricted forms of comprehension, choice and general uniform boundedness" (1998)
- in: Kohlenbach U.
"Effective moduli from ineffective uniqueness proofs. An unwinding of de La Vallee Poussin's proof for Chebycheff approximation" (1993)
- in: Lietz P. and Streicher T.
"Realizability models refuting Ishihara's boundedness principle." (2012)
- in: Maschio S. and Streicher T.
"Models of intuitionistic set theory in subtoposes of nested realizability toposes" (2015)
- in: Otto M.
"Expressive completeness through logically tractable models" (2013)
- in: Otto M.
"Modal and guarded characterisation theorems over finite transition systems" (2004)
- in: Otto M.
"Canonization for two variables and puzzles on the square" (1997)
- in: Reus B. and Streicher T.
"A synthetic theory of sequential domains." (2012)
- in: Simpson A. and Streicher T.
"Constructive toposes with countable sums as models of constructive set theory." (2012)
- in: Ziegler M.
"Real Computation with Least Discrete Advice" (2012)
- Annual
- in: Akama Y., Berardi S., Hayashi S. and Kohlenbach U.
"An arithmetical hierarchy of the law of excluded middle and related principles" (2004)
- Annunciation
- in: Hofmann K.H. and Keimel K.
"A mathematician's view of an Italian 15th century painting: The Annunciation, with St. Emidius, by Carlo Crivelli (in Japanese)" (2011)
- Antichain
- in: Kreuzer A.P.
"Primitive recursion and the chain antichain principle." (2012)
- Anwendungen
- in: Pinto P.
"On the finitary content of Dykstra's cyclic projections algorithm" (2025)
- in: Pischke N.
"On Korpelevich's Extragradient Algorithm" (2023)
- Appear
- in: Gregoriades V.
"Choice free Fixed Point Property in separable Banach spaces" (2014)
- in: Gregoriades V.
"Classes of Polish spaces under effective Borel isomorphism" (2014)
- in: Leuştean L.
"Baer extensions of BL-algebras" (2006)
- Appl
- in: Bénabou J. and Streicher T.
"Partial Toposes" (2003)
- in: Berg (van den) B., Briseid E.M. and Safarik P.
"A functional interpretation for nonstandard arithmetic." (2012)
- in: Bunge M., Funk J., Jibladze M. and Streicher T.
"The Michael completion of a topos spread" (2002)
- in: Gerhardy P.
"A quantitative version of Kirk's fixed point theorem for asymptotic contractions" (2006)
- in: Gerhardy P. and Kohlenbach U.
"Strongly uniform bounds from semi-constructive proofs" (2006)
- in: Kohlenbach U.
"Uniform asymptotic regularity for Mann iterates" (2003)
- in: Safarik P.
"A quantitative nonlinear strong ergodic theorem for Hilbert spaces." (2012)
- in: Streicher T.
"Inductive construction of repletion" (1999)
- Application
- in: Kohlenbach U.
"Effective bounds from ineffective proofs in analysis: an application of functional interpretation and majorization" (1992)
- in: Leuştean L. and Sipoş A.
"An application of proof mining to the proximal point algorithm in CAT(0) spaces" (2018)
- Applications
- in: Abbes S. and Keimel K.
"Projective topology on bifinite domains and applications" (2006)
- in: Barbălată C. and Leuştean L.
"Applications of feed-forward neural networks to ecological phenomena forecasting" (2000)
- in: Briseid E.M.
"A New Uniformity for Asymptotic Contractions in the Sense of Kirk" (2010)
- in: Briseid E.M.
"A Rate of Convergence for Asymptotic Contractions" (2007)
- in: Burmeister P.
"Galois Connections for Partial Algebras" (2004)
- in: Cohen B., Escardó M. and Keimel K.
"The extended probabilistic power domain monad over stably compact spaces" (2006)
- in: Di Nola A., Georgescu G. and Leuştean L.
"Boolean products of BL-algebras" (2000)
- in: Erker T., Escardó M. and Keimel K.
"The way-below relation of function spaces over semantic domains" (1998)
- in: Escardó M. and Streicher T.
"Induction and recursion on the partial real line with applications to Real PCF." (1999)
- in: Keimel K.
"The Monad of Probability Measures over Compact Ordered Spaces and its Eilenberg-Moore Algebras" (2008)
- in: Keimel K. and Lawson J.D.
"Measure extension theorems for -spaces" (2005)
- in: Keimel K. and Liang J.H.
"Compact continuous L-domains" (1999)
- in: Keimel K.
"Some trends in lattice-ordered groups and rings" (1995)
- in: Khan M.A.A. and Kohlenbach U.
"Bounds on Kuhfittig's iteration schema in uniformly convex hyperbolic spaces" (2013)
- in: Kohlenbach U. and Pinto P.
"Quantitative translations for viscosity approximation methods in hyperbolic spaces" (2022)
- in: Kohlenbach U. and Powell T.
"Rates of convergence for iterative solutions of equations involving set-valued accretive operators" (2020)
- in: Kohlenbach U.
"Recent progress in proof mining in nonlinear analysis" (2017)
- in: Kohlenbach U.
"On the asymptotic behavior of odd operators" (2011)
- in: Kohlenbach U.
"Some Logical Metatheorems with Applications in Functional Analysis" (2005)
- in: Kohlenbach U. and Lambov B.
"Bounds on iterations of asymptotically quasi-non-expansive mappings" (2004)
- in: Kohlenbach U.
"Analysing proofs in analysis" (1996)
- in: Kohlenbach U.
"Pointwise hereditary majorization and some applications" (1992)
- in: Koutsoukou-Argyraki A. and Kohlenbach U.
"Effective asymptotic regularity for one-parameter nonexpansive semigroups" (2016)
- in: Koutsoukou-Argyraki A. and Kohlenbach U.
"Rates of convergence and metastability for abstract Cauchy problems generated by accretive operators" (2015)
- in: Leuştean L. and Pinto P.
"Quantitative results on a Halpern-type proximal point algorithm" (2021)
- in: Leuştean L.
"A quadratic rate of asymptotic regularity in CAT(0)-spaces" (2007)
- in: Leuştean L.
"Sheaf representations of BL-algebras" (2005)
- in: Otto M.
"Bisimulation and coverings for graphs and hypergraphs" (2013)
- in: Pischke N.
"A Proof-Theoretic Metatheorem for Nonlinear Semigroups generated by an Accretive Operator and Applications" (2025)
- in: Pischke N.
"Rates of convergence for the asymptotic behavior of second-order Cauchy problems" (2024)
- in: Schade K. and Kohlenbach U.
"Effective metastability for modified Halpern iterations in CAT(0) spaces." (2012)
- Applied
- in: Awodey S., Butz C., Simpson A. and Streicher T.
"Relating first-order set theories, toposes and categories of classes." (2014)
- in: Blumensath A.
"A Model Theoretic Characterisation of Clique-Width" (2006)
- in: Dawar A. and Otto M.
"Modal Characterisation Theorems over Special Classes of Frames" (2009)
- in: Escardó M. and Streicher T.
"The intrinsic topology of Martin-Löf universes" (2016)
- in: Freund A. and Kohlenbach U.
"R.E. Bruck, proof mining and a rate of asymptotic regularity for ergodic averages in Banach spaces" (2022)
- in: Freund A. and Rathjen M.
"Derivatives of normal functions in reverse mathematics" (2021)
- in: Keimel K. and Lawson J.D.
"-completions and the -topology" (2009)
- in: Keimel K., Rosenbusch A.P. and Streicher T.
"A Minkowksi Type Duality Mediating Between State and Predicate Transformer Semantics for a Probabilistic Nondeterministic Language" (2009)
- in: Kohlenbach U. and Safarik P.
"Fluctuations, effective learnability and metastability in analysis" (2014)
- in: Kohlenbach U.
"Gödel functional interpretation and weak compactness" (2012)
- in: Kohlenbach U.
"Applied Proof Theory: Proof Interpretations and their Use in Mathematics" (2008)
- in: Kohlenbach U. and Leuştean L.
"Mann iterates of directionally nonexpansive mappings in hyperbolic spaces" (2003)
- in: Kohlenbach U. and Oliva P.
"Proof mining in L-approximation" (2003)
- in: Kohlenbach U.
"Applied foundations: proof mining in analysis" (2002)
- in: Kohlenbach U.
"On uniform weak König's lemma" (2002)
- in: Kohlenbach U.
"Things that can and things that can't be done in PRA" (2000)
- in: Kohlenbach U.
"On the arithmetical content of restricted forms of comprehension, choice and general uniform boundedness" (1998)
- in: Lietz P. and Streicher T.
"Realizability models refuting Ishihara's boundedness principle." (2012)
- in: Maschio S. and Streicher T.
"Models of intuitionistic set theory in subtoposes of nested realizability toposes" (2015)
- in: Otto M.
"Expressive completeness through logically tractable models" (2013)
- in: Otto M.
"Modal and guarded characterisation theorems over finite transition systems" (2004)
- in: Otto M.
"Canonization for two variables and puzzles on the square" (1997)
- in: Reus B. and Streicher T.
"A synthetic theory of sequential domains." (2012)
- in: Simpson A. and Streicher T.
"Constructive toposes with countable sums as models of constructive set theory." (2012)
- in: Ziegler M.
"Real Computation with Least Discrete Advice" (2012)
- Applucations
- in: Horatiu Cheval U.K. and Leuştean L.
"On modified Halpern and Tikhonov-Mann iterations" (2023)
- Approach
- in: Reus B. and Streicher T.
"General synthetic domain theory---a logical approach." (1999)
- in: Reus B. and Streicher T.
"General synthetic domain theory---a logical approach (extended abstract)" (1997)
- Approximate
- in: Kohlenbach U. and Leuştean L.
"Approximate fixed points of nonexpansive functions in product spaces" (2007)
- in: Kohlenbach U. and Leuştean L.
"Approximate fixed points of nonexpansive functions in product spaces" (2006)
- in: Kohlenbach U. and Leuştean L.
"Approximate fixed point property in product spaces (abstract)" (2005)
- Approximation
- in: Findling R. and Kohlenbach U.
"Rates of convergence and metastability for Chidume's algorithm for the approximation of zeros of accretive operators in Banach spaces" (2024)
- in: Huth M., Jung A. and Keimel K.
"Linear types, approximation, and topology" (2000)
- in: Keimel K. and Roth W.
"Ordered Cones and Approximation" (1992)
- in: Kohlenbach U. and Pinto P.
"Quantitative translations for viscosity approximation methods in hyperbolic spaces" (2022)
- in: Kohlenbach U.
"Effective moduli from ineffective uniqueness proofs. An unwinding of de La Vallee Poussin's proof for Chebycheff approximation" (1993)
- in: Kohlenbach U.
"New effective moduli of uniqueness and uniform a-priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory" (1993)
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