This book introduces a new complexity class INL, composed of languages accepted by a nondeterministic Turing machine with a one-way read-only input head and logarithmic space. The author demonstrates that INL is not closed under complementation, and investigates the power of inductive counting, the main proof technique used by Immerman to show that nondeterministic space is closed under complementation. This leads to the introduction of a new oracle model and a strict hierarchy of languages. The author concludes by showing that if INL can simulate deterministic space-bounded oracle machines, then nondeterministic space is equal to deterministic space for constructible space-bounded functions. This book delves into the complexity of inductive counting, oracle models, and space-bounded computations, offering valuable insights for researchers and students in theoretical computer science.
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Paperback. Condition: New. Print on Demand. This book introduces a new complexity class INL, composed of languages accepted by a nondeterministic Turing machine with a one-way read-only input head and logarithmic space. The author demonstrates that INL is not closed under complementation, and investigates the power of inductive counting, the main proof technique used by Immerman to show that nondeterministic space is closed under complementation. This leads to the introduction of a new oracle model and a strict hierarchy of languages. The author concludes by showing that if INL can simulate deterministic space-bounded oracle machines, then nondeterministic space is equal to deterministic space for constructible space-bounded functions. This book delves into the complexity of inductive counting, oracle models, and space-bounded computations, offering valuable insights for researchers and students in theoretical computer science. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333579692_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333579692
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333579692
Quantity: 15 available