图书简介
This volume results from two programs that took place at the Institute for Mathematical Sciences at the National University of Singapore: Aspects of Computation — in Celebration of the Research Work of Professor Rod Downey (21 August to 15 September 2017) and Automata Theory and Applications: Games, Learning and Structures (20–24 September 2021).The first program was dedicated to the research work of Rodney G. Downey, in celebration of his 60th birthday. The second program covered automata theory whereby researchers investigate the other end of computation, namely the computation with finite automata, and the intermediate level of languages in the Chomsky hierarchy (like context-free and context-sensitive languages).This volume contains 17 contributions reflecting the current state-of-art in the fields of the two programs.Key Features: oComprehensive and original collection of cutting-edge topics on automata theory, computational complexity and recursion theoryoThe contributors are expert researchers in these fields and both contribute new scientific results and ideas for future directionsoThe articles are an interdisciplinary mix dealing with computations from the concrete level of the theory of finite automata through the theoretical limits explored in recursion theory and also cover the middle in between with excursions into game theory and parameterized complexity
Generators of the CE Degrees and Strongly Meet Inaccesssible Degrees; Cuts in the ML Degrees; Cantor–Bendixson Ranks for Almost Prime Models; Isomorphism Types of Rogers Semilattices in the Analytical Hierarchy; Immunity, Diagonalization and the Complexity of Mass Problems; Computability and Categoricity of Weakly Homogeneous Boolean Algebras and p-Groups; From Quasi-Dominions to Progress Measures; Effective Ultrapowers and Applications; FPT-Inspired Approximations; Disjoint NP-Pairs and Propositional Proof Systems; How to Verify Computations with a Rational Network; Punctual Degrees and Lattice Embeddings; Maximal Automatic Complexity and Context-Free Languages; Roots of Polynomials in Fields of Generalized Power Series; A Scalable Verification Solution for Blockchains; Weakness Makes Muller Delay Games Hard; A Turing Machine like Model for Computation on Real Numbers;
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