Boolean functions : topics in asynchronicity / Serban E. Vlad.

Includes bibliographical references and index.

Boolean functions -- Affine spaces defined by two points -- Morphisms -- Antimorphisms -- Invariant sets -- Invariant subsets -- Path connected set -- Attractors -- The technical condition of proper operation -- The strong technical condition of proper operation -- The generalized technical condition of proper operation -- The strong generalized technical condition of proper operation -- Time-reversal symmetry -- Time-reversal symmetry vs TCPO -- Time-reversal symmetry vs the generalized TCPO.

Online resource; title from digital title page (viewed on February 18, 2019).

The essential guide showing how the unbounded delay model of computation of the Boolean functions may be used in the analysis of the Boolean networks Boolean Functions: Topics in Asynchronicity contains the most current research in several issues of asynchronous Boolean systems. In this framework, asynchronicity means that the functions which model the digital circuits from electronics iterate their coordinates independently on each other and the author-a noted expert in the field-includes a formal mathematical description of these systems. Filled with helpful definitions and illustrative examples, the book covers a range of topics such as morphisms, antimorphisms, invariant sets, path connected sets, attractors. Further, it studies race freedom, called here the technical condition of proper operation, together with some of its generalized and strengthened versions, and also time reversal, borrowed from physics and also from dynamical systems, together with the symmetry that it generates. This book: -Presents up-to-date research in the field of Boolean networks, -Includes the information needed to understand the construction of an asynchronous Boolean systems theory and contains proofs, -Employs use of the language of algebraic topology and homological algebra. Written formathematicians and computer scientists interested in the theory and applications of Boolean functions, dynamical systems, and circuits, Boolean Functions: Topics in Asynchronicity is an authoritative guide indicating a way of using the unbounded delay model of computation of the Boolean functions in the analysis of the Boolean networks.