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New Computational Paradigms
Changing Conceptions of What is Computable
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In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between "computation" and "proof" has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years. Moreover, the increasingly compelling necessity to deal with computability in the real world (such as computing on continuous data, biological computing, and physical models) has brought focus to new paradigms of computation that are based on biological and physical models. These models address questions of efficiency in a radically new way and even threaten to move the so-called Turing barrier, i.e. the line between the decidable and the un-decidable.This book examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing.
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Subject categories
- Academic > Mathematics > General > Logic, Symbolic and mathematical
- Academic > Mathematics > General > Combinatory logic
- Academic > Mathematics > General > Computable functions
- Academic > Mathematics > Instruments and machines
- Academic > Mathematics > Analytic mechanics
- Academic > Logic > Combinatory logic
- Academic > Logic > Computable functions
- Academic > Computer Science
- Mathematics > Logic
ISBNs
0387685464
9780387360331
9780387685465