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Pippa Ingleside will do anything to escape her ruthless uncle, but even she is surprised when her previously dormant powers aid her. Surprised and afraid. Her newly discovered abilities may have saved her but they condemn her at the same time. Disguised as a boy, she travels to the home of Lord Ashbourne to find her one and only friend. To maintain her disguise and put a roof over her head, Pippa accepts a job as page of the wardrobe to Ash, a man as mysterious as he is dangerous. If he discovers her lie, he'll send her back to her uncle and her witchcraft will be exposed to the authorities. As the lies build it gets harder for Pippa to maintain her disguise, especially when she falls in love with the man she must serve. Her only hope is to find her friend. But when the friend is murdered, Ash investigates and where he goes, his page goes too. Together they uncover a web of secrets that could destroy Ash and condemn Pippa. But that's nothing compared to what happens when he discovers she's a woman… Keywords: historical romance, paranormal romance, historical paranormal romance, disguises, sexy romance, witches
Recursive Model Theory
This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).
Recursive Algebra, Analysis and Combinatorics
A collection of essays celebrating the influence of Alan Turing's work in logic, computer science and related areas.
"this volume represents an outstanding contribution to the field. The resolute graduate student or mature researcher, alike, can find a wealth of directions for future work".Mathematical Reviews
The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.
This book presents contributions from world-renowned logicians, discussing important topics of logic from the point of view of their further development in light of requirements arising from successful application in Computer Science and AI language. Coverage includes: the logic of provability, computability theory applied to biology, psychology, physics, chemistry, economics, and other basic sciences; computability theory and computable models; logic and space-time geometry; hybrid systems; logic and region-based theory of space.
The twenty-six papers in this volume reflect the wide and still expanding range of Anil Nerode's work. A conference on Logical Methods was held in honor of Nerode's sixtieth birthday (4 June 1992) at the Mathematical Sciences Institute, Cornell University, 1-3 June 1992. Some of the conference papers are here, but others are from students, co-workers and other colleagues. The intention of the conference was to look forward, and to see the directions currently being pursued, in the development of work by, or with, Nerode. Here is a brief summary of the contents of this book. We give a retrospective view of Nerode's work. A number of specific areas are readily discerned: recursive equivalence ...
A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.