About: Standard Boolean model is a research topic. Over the lifetime, 1171 publications have been published within this topic receiving 29114 citations.
TL;DR: A new matrix product, called semi-tensor product of matrices, is used, which can covert the Boolean networks into discrete-time linear dynamic systems and the controllability of Boolean control networks is considered in the paper as an application.
Abstract: A Boolean network is a logical dynamic system, which has been used to describe cellular networks. Using a new matrix product, called semi-tensor product of matrices, a logical function can be expressed as an algebraic function. This expression can covert the Boolean networks into discrete-time linear dynamic systems. Similarly, the Boolean control networks can also be converted into discrete time bilinear dynamic systems. Under these forms the standard matrix analysis can be used to consider the structure and the control problems of Boolean (control) networks. After the detailed description of this new approach, the controllability of Boolean control networks is considered in the paper as an application.
TL;DR: A new, extended Boolean information retrieval system is introduced which is intermediate between the Boolean system of query processing and the vector processing model, and Laboratory tests indicate that the extended system produces better retrieval output than either the Boolean or thevector processing systems.
Abstract: In conventional information retrieval Boolean combinations of index terms are used to formulate the users'' information requests. While any document is in principle retrievable by a Boolean query, the amount of output obtainable by Boolean processing is difficult to control, and the retrieved items are not ranked in any presumed order of importance to the user population. In the vector processing model of retrieval, the retrieved items are easily ranked in decreasing order of the query-record similarity, but the queries themselves are unstructured and expressed as simple sets of weighted index terms. A new, extended Boolean information retrieval system is introduced which is intermediate between the Boolean system of query processing and the vector processing model. The query structure inherent in the Boolean system is preserved, while at the same time weighted terms may be incorporated into both queries and stored documents; the retrieved output can also be ranked in strict similarity order with the user queries. A conventional retrieval system can be modified to make use of the extended system. Laboratory tests indicate that the extended system produces better retrieval output than either the Boolean or the vector processing systems.
TL;DR: Methods based on the combination of rough sets and Boolean reasoning with applications in pattern recognition, machine learning, data mining and conflict analysis are discussed.
TL;DR: This book serves as a complete resource for the successful design or implementation of cryptographic algorithms or protocols using Boolean functions; provides engineers and scientists with a needed reference for the use of Boolean functions in cryptography; and addresses the issues of cryptographic Boolean functions theory and applications in one concentrated resource.
Abstract: Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce). "Cryptographic Boolean Functions and Applications" is a concise reference that shows how Boolean functions are used in cryptography. Currently, practitioners who need to apply Boolean functions in the design of cryptographic algorithms and protocols need to patch together needed information from a variety of resources (books, journal articles and other sources). This book compiles the key essential information in one easy to use, step-by-step reference. Beginning with the basics of the necessary theory, the book goes on to examine more technical topics, some of which are at the frontier of current research. The book serves as a complete resource for the successful design or implementation of cryptographic algorithms or protocols using Boolean functions; provides engineers and scientists with a needed reference for the use of Boolean functions in cryptography; and, addresses the issues of cryptographic Boolean functions theory and applications in one concentrated resource. The book is organized logically to help the reader easily understand the topic.