Arbib is notable for considering the brain and machine systems in the same way.
- ''Beyond the Mirror: Biology and Culture in the Evolution of Brain and Language'' (Hardcover - June 2005) ISBN 0195149939
- ''Who Needs Emotions: The Brain Meets the Robot'' (Series in Affective Science) by Jean-Marc Fellous, et al (Hardcover - October 28, 2004)
- ''The Handbook of Brain Theory and Neural Networks'': Second Edition by Michael A. Arbib (Editor) (Hardcover - November 15, 2002)
- ''The Neural Simulation Language: A System for Brain Modeling'' by Alfredo Weitzenfeld, et al (Paperback - July 1, 2002)
- ''Computing the Brain: A Guide to Neuroinformatics'' by Michael Arbib, Jeffrey S. Grethe (Hardcover - March 15, 2001)
- ''Neuroscience and the Person: Scientific Perspectives on Divine Action'' (Scientific Perspectives on Divine Action Series) by Robert J. Russell, et al (Paperback - January 1, 2000)
- ''Neural Organization: Structure, Function, and Dynamics'' by Michael A. Arbib (Author), et al (Hardcover - October 31, 1997)
- ''Neuroscience: From Neural Networks to Artificial Intelligence : Proceedings of a U.S.-Mexico Seminar Held in the City of Xalapa in the State of Verac (Lecture Notes in Mathematics)'' by Pablo Rudomin, et al (Paperback - June 1, 1993)
- ''Visual Structures and Integrated Functions (Research Notes in Neural Computing, No 3'') by Michael A. Arbib, Jorg-Peter Ewert
- ''Natural and Artificial Parallel Computation'' by Michael A. Arbib (Editor), J. Alan Robinson (Editor) (Hardcover - December 21, 1990)
- ''Vision, Brain, and Cooperative Computation'' by Michael A. Arbib (Editor), Allen R. Hanson (Editor) (Paperback - January 24, 1990)
- ''Visuomotor Coordination: Amphibians, Comparisons, Models, and Robots'' by Jorg Peter Ewert, Michael A. Arbib
- ''The Metaphorical Brain 2: Neural Networks and Beyond'' by Michael B. Arbib
- ''Dynamic Interactions in Neural Networks: Models and Data (Research Notes in Neural Computing)'' by Michael A. Arbib, Shun-Ichi Amari (Paperback - January 1, 1989)
- ''Introduction to Formal Language Theory (Texts and Monographs in Computer Science)'' by Robert N. Moll, et al
- ''Brains, Machines and Mathematics'' by Michael A. Arbib (Hardcover - November 1, 1987)
- ''From Schema Theory to Language'' by Michael A. Arbib, et al
- ''The Construction of Reality (Cambridge Studies in Philosophy)'' by Michael A. Arbib, Mary B. Hesse (Hardcover - November 28, 1986)
- ''Algebraic Approaches to Program Semantics (Texts and Monographs in Computer Science)'' by Ernest G. Manes, Michael A. Arbib (Hardcover - August 1, 1986)
- ''In Search of the Person: Philosophical Explorations in Cognitive Science'' (Paperback - November 1, 1985)
- ''Computers and the Cybernetic Society'' (Paperback - 1984)
- ''Adaptive Control of Ill-Defined Systems (Nato Conference Series. II, Systems Science, V. 16)'' by NATO Advanced Research Institute on Adaptive Control of Ill-Defined sy, et al
- ''Programming Approach to Computability (The Akm Series in Theoretical Computer Science)'' by A. J. Kfoury, et
- ''Neural Models of Language Processes (Perspectives in neurolinguistics, neuropsychology, and psycholinguistics)''
- ''A Basis for Theoretical Computer Science (Springer Series in Statistics) by Michael A. Arbib''
- ''Arrows, Structures, and Functors: The Categorical Imperative''
- ''The Metaphorical Brain by Michael A. Arbib, Auro Lecci''
- ''Theories of abstract automata (Prentice-Hall series in automatic computation)''
- ''Algebraic Theory of Machines, Languages and Semigroups (January, 1968) ISBN 0120590506
- ''Brains, Machines and Mathematics'' (1964, 1987) ISBN 0387965394
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