Computing Measure as a Primitive Operation in Real Number Computation
暂无分享,去创建一个
[1] Felipe Cucker,et al. Counting complexity classes for numeric computations II: algebraic and semialgebraic sets , 2003, STOC '04.
[2] Peter Hertling,et al. Feasible Real Random Access Machines , 1998, J. Complex..
[3] Arno Pauly,et al. On the algebraic structure of Weihrauch degrees , 2016, Log. Methods Comput. Sci..
[4] Arno Pauly,et al. Non-deterministic computation and the Jayne-Rogers Theorem , 2012, DCM.
[5] Klaus Weihrauch,et al. A Tutorial on Computable Analysis , 2008 .
[6] Denis R. Hirschfeldt,et al. On notions of computability-theoretic reduction between Π21 principles , 2016, J. Math. Log..
[7] Arno Pauly,et al. Closed choice and a Uniform Low Basis Theorem , 2010, Ann. Pure Appl. Log..
[8] S. Smale,et al. On a theory of computation and complexity over the real numbers; np-completeness , 1989 .
[9] Vasco Brattka. Effective Borel measurability and reducibility of functions , 2005, Math. Log. Q..
[10] Arno Pauly,et al. On the topological aspects of the theory of represented spaces , 2012, Comput..
[11] Arno Pauly,et al. A topological view on algebraic computation models , 2016, J. Complex..
[12] Matthew de Brecht. Levels of discontinuity, limit-computability, and jump operators , 2014, Logic, Computation, Hierarchies.
[13] C. Gaßner. An introduction to a model of abstract computation: the BSS-RAM model , 2019 .
[14] Vasco Brattka,et al. Computability on subsets of metric spaces , 2003, Theor. Comput. Sci..
[15] Arno Pauly,et al. Weihrauch Complexity in Computable Analysis , 2017, Theory and Applications of Computability.
[16] Christine Gaβner. The P-DNP problem for infinite Abelian groups , 2001 .
[17] Lenore Blum,et al. Complexity and Real Computation , 1997, Springer New York.
[18] Christine Gaßner. On NP-Completeness for Linear Machines , 1997, J. Complex..
[19] Arno Pauly,et al. Towards Synthetic Descriptive Set Theory: An instantiation with represented spaces , 2013, ArXiv.
[20] Martin Ziegler. Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism , 2005, CiE.
[21] Christine Gaßner,et al. A Hierarchy below the Halting Problem for Additive Machines , 2008, Theory of Computing Systems.
[22] Linda Westrick. A note on the diamond operator , 2021, Comput..
[23] Florian Steinberg,et al. Complexity theory for spaces of integrable functions , 2016, Log. Methods Comput. Sci..
[24] Armin Hemmerling. Computability of String Functions Over Algebraic Structures , 1998, Math. Log. Q..
[25] Arno Pauly,et al. Comparing Representations for Function Spaces in Computable Analysis , 2015, Theory of Computing Systems.
[26] Jouko Väänänen,et al. Game characterizations of function classes and Weihrauch degrees , 2013 .
[27] Günter Hotz,et al. Analytic Machines , 1999, Theor. Comput. Sci..
[28] Anders C. Hansen,et al. On the Solvability Complexity Index, the n-pseudospectrum and approximations of spectra of operators , 2011 .
[29] Martin Ziegler,et al. Real Analytic Machines and Degrees , 2010, CCA.
[30] Klaus Meer. Counting problems over the reals , 2000, Theor. Comput. Sci..
[31] Arno Pauly,et al. A comparison of concepts from computable analysis and effective descriptive set theory , 2014, Mathematical Structures in Computer Science.
[32] Klaus Weihrauch,et al. Turing machines on represented sets, a model of computation for Analysis , 2011, Log. Methods Comput. Sci..
[33] Marian Boykan Pour-El,et al. Computability in analysis and physics , 1989, Perspectives in Mathematical Logic.
[34] Klaus Weihrauch,et al. Computable Analysis , 2005, CiE.
[35] J. V. Tucker,et al. Computable functions and semicomputable sets on many-sorted algebras , 2001, Logic in Computer Science.
[36] Arno Pauly,et al. Descriptive Set Theory in the Category of Represented Spaces , 2015, 2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science.