Theory and Applications of Models of Computation - Info and Reading Options

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Intro -- Preface -- Organization -- Contents -- Invited Papers -- Hilbert's Tenth Problem for Subrings of Q and Number Fields (Extended Abstract) -- 1 Some History -- 2 Big Rings -- 2.1 The Other End of the Spectrum -- 3 Number Fields -- 4 Big Rings Inside Number Fields -- References -- Nondeterministic Separations -- 1 Results -- 2 Proof of Theorem?? -- 3 Proof of Theorem?? -- 4 New Proof of Nondeterministic Time Hierarchy -- 5 Proof of Theorem?? -- References -- Quantum and Randomized Query Complexities (Extended Abstract) -- Recursion Theory and Mathematical Logic -- Algorithmically Random Functions and Effective Capacities -- 1 Introduction -- 2 Background -- 3 Symmetric Bernoulli Measures on F(2) -- 4 From Functions to Capacities -- 5 Random Online Functions -- 6 Random Online Partial Functions -- References -- Where Join Preservation Fails in the Bounded Turing Degrees of C.E. Sets -- 1 Introduction -- 2 Preliminaries -- 3 Join Preservation -- 4 Meet Preservation -- 5 Open Problems -- References -- Structured Frequency Algorithms -- 1 Introduction -- 2 Definitions -- 3 Projective Plane Frequency Computation -- 4 Graph Frequency Computation -- 5 Conclusions and Open Problems -- References -- Asymptotic Properties of Combinatory Logic -- 1 Introduction -- 2 Combinators -- 3 Densities of Sets of Combinators -- 4 Generating Functions -- 5 Weakly Normalizing Combinators -- 6 Combinatorial Results -- References -- Computational Complexity and Boolean Functions -- Some New Consequences of the Hypothesis That P Has Fixed Polynomial-Size Circuits -- 1 Introduction -- 2 Preliminaries -- 3 Some Basic Consequences of ¶SIZE(nc) -- 3.1 E and SIZE(2o(n)) -- 3.2 BPP and SIZE(nc+) -- 4 ¶SIZE(nc) vs Pseudorandom Generators -- 4.1 On General Pseudorandom Generators Fooling Small Circuits -- 4.2 Unfoolable Circuit Families Against All Pseudorandom Generators

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