Logic Functions and Equations: Binary Models for Computer Science
暫譯: 邏輯函數與方程式：計算機科學的二進制模型

邏輯函數和方程式是計算機科學中最重要的概念之一，具有許多應用，例如二進位運算、編碼、複雜性、邏輯設計、程式設計、計算機架構和人工智慧。這些概念通常在其各自的應用之前或與之一起以最小的方式進行學習。根據我們長期的教學經驗，這些概念將以全面的方式呈現，特別強調徹底理解以及數值和基於計算機的解決方法。提供來自所有相關領域的應用和範例，這些範例可以以統一的方式處理。它們提供了對計算機科學最新發展的廣泛理解，並且在專業生活中直接適用。

邏輯函數和方程式非常適合用於許多計算機科學或計算機科學相關課程的一或兩學期課程。它使學生能夠輕鬆地高層次接觸這些方法，並在許多不同領域中實現複雜的應用。它優雅地橋接了數學與計算機科學所需的理論基礎之間的鴻溝。

Christian Posthoff studied Mathematics at the University of Leipzig. From 1968 to 1972, he worked as a programmer and in the field of Operations Research; simultaneously, he did his Ph.D. in 1975 with the thesis "Application of Mathematical Methods in Communicative Psychotherapy." In 1972, he began working at the Department of Information Technology at the Chemnitz University of Technology; up to 1983, his research activities concentrated on logic design. Important results have been algorithms and programs for solving Boolean equations with a high number of variables and the Boolean Differential Calculus (a generalized differential and integral calculus for Boolean rings) for the analytical treatment of different problems in the field of logic design. These results have been collected in a monograph "Binary Dynamic Systems," and allowed the habilitation (Dr.-Ing. habil.) at the Faculty of Electrical Engineering in 1979 and the promotion to Associate Professor.In 1983, he was promoted to Full Professor of Computer Science in the Department of Computer Science at the same university, and since 1984, he was Head of the Institute of Theoretical Computer Science and Artificial Intelligence and Research Director of the Department of Computer Science. His research activities included the application of fuzzy logics for the modeling of human-like "thinking" methods, learning from examples, the construction of intelligent tutoring systems, the parallelization of inference mechanisms, systems of diagnosis and configuration. He received the Scientific Award of the Chemnitz University of Technology four times.

In 1994, he moved to the Chair of Computer Science at The University of The West Indies, St. Augustine, Trinidad & Tobago. From 1996 to 2002 he was Head of the Department of Mathematics & Computer Science. He mainly focused on the development of Computer Science education at the undergraduate and graduate levels to attain international standard. Twenty years later it can be said that these intentions were very successfully fulfilled. In 2001, he received the Vice-Chancellor's Award of Excellence. From 2010 - 2012 he spent two years at St. Georges University in Grenada with the same goals. Since his return to Germany (now retired) he devoted his efforts to the interdisciplinary research and education in several areas (Computer Science - Mathematics - Applications in different fields). He is the author or co-author of more than 20 books and many publications in journals and conference proceedings.

Bernd Steinbach studied Information Technology at the University of Technology in Chemnitz (Germany) and graduated with an M.Sc. in 1973. He graduated with a Ph.D. and with a Dr. sc. techn. (Doctor scientiae technicarum) for his second doctoral thesis from the Faculty of Electrical Engineering of the Chemnitz University of Technology in 1981 and 1984, respectively. In 1991 he obtained the Habilitation (Dr.-Ing. habil.) from the same Faculty. Topics of his theses involved Boolean equations, Boolean differential equations, and their application in the field of circuit design using efficient algorithms and data structures on computers.

He was working in industry as an Electrician, there he tested professional controlling systems at the Niles Company. After finishing his studies, he taught as Assistant Lecturer at the Department of Information Technology of the Chemnitz University of Technology. In a following period of industrial occupation as a research engineer he developed programs for test pattern generation for computer circuits at the company ROBOTRON. Thereafter he returned to the Department of Information Technology of the Chemnitz University of Technology as Associate Professor for design automation in logic design.

From 1992 to 2017 he was a Full Professor of Computer Science / Software Engineering and Programming at the Freiberg University of Mining and Technology, Department of Computer Science. He served as Head of the Department of Computer Science and Vice-Dean of the Faculty of Mathematics and Computer Science. His research areas include logic functions and equations and their application in many fields, such as Artificial Intelligence, UML - based testing of software, UML - based hardware / software co-design, and extremely complex problems. He is the head of a group that developed the XBOOLE software system. He is co-author and editor of 13 books. He published more than 250 chapters in books, complete issues of journals, and papers in journals and proceedings.

He has served as Program Chairman for the IEEE International Symposium on Multiple-Valued Logic (ISMVL), and as guest editor of the Journal of Multiple-Valued Logic and Soft Computing. He is the initiator and general chair of a biennial series of International Workshops on Boolean Problems (IWSBP) which started in 1994, with 12 workshops until now. He received the Barkhausen Award from the University of Technology Dresden in 1983.

Christian Posthoff 在萊比錫大學學習數學。從1968年到1972年，他擔任程式設計師並從事運籌學領域的工作；同時，他於1975年以論文《應用數學方法於溝通心理治療》獲得博士學位。1972年，他開始在化茨尼茨科技大學的資訊技術系工作；直到1983年，他的研究活動集中在邏輯設計上。重要的研究成果包括解決高變數布林方程的演算法和程式，以及布林微分演算（針對布林環的廣義微分和積分演算）用於分析邏輯設計領域的不同問題。這些成果已收錄於專著《二進制動態系統》中，並於1979年獲得電機工程學院的資格認證（Dr.-Ing. habil.），並晉升為副教授。1983年，他被晉升為同一大學計算機科學系的計算機科學全職教授，自1984年起擔任理論計算機科學與人工智慧研究所的所長及計算機科學系的研究主任。他的研究活動包括應用模糊邏輯來建模類人「思考」方法、從範例中學習、構建智能輔導系統、推理機制的平行化、診斷和配置系統。他四次獲得化茨尼茨科技大學的科學獎。

1994年，他轉到位於特立尼達和多巴哥聖奧斯丁的西印度大學計算機科學系。從1996年到2002年，他擔任數學與計算機科學系的系主任。他主要專注於本科和研究生層級的計算機科學教育發展，以達到國際標準。二十年後，可以說這些意圖非常成功地實現了。2001年，他獲得了副校長卓越獎。從2010年到2012年，他在格林納達的聖喬治大學度過了兩年，目標相同。自從回到德國（現在已退休）以來，他致力於多個領域的跨學科研究和教育（計算機科學 - 數學 - 不同領域的應用）。他是20多本書籍的作者或合著者，並在期刊和會議論文中發表了許多文章。

Bernd Steinbach 在德國化茨尼茨科技大學學習資訊技術，並於1973年獲得碩士學位。他於1981年和1984年分別在化茨尼茨科技大學電機工程學院獲得博士學位和技術科學博士學位（Doctor scientiae technicarum）。1991年，他從同一學院獲得資格認證（Dr.-Ing. habil.）。他的論文主題涉及布林方程、布林微分方程及其在電路設計領域的應用，使用高效的演算法和數據結構。

他曾在業界擔任電工，並在尼爾斯公司測試專業控制系統。完成學業後，他在化茨尼茨科技大學資訊技術系擔任助理講師。在隨後的工業職位中，他作為研究工程師為ROBOTRON公司開發計算機電路的測試模式生成程式。之後，他回到化茨尼茨科技大學資訊技術系，擔任邏輯設計中的設計自動化副教授。

從1992年到2017年，他在弗賴貝格礦業與技術大學計算機科學系擔任計算機科學/軟體工程與程式設計全職教授。他曾擔任計算機科學系主任及數學與計算機科學學院副院長。他的研究領域包括邏輯函數和方程及其在許多領域的應用，如人工智慧、基於UML的軟體測試、基於UML的硬體/軟體共同設計以及極其複雜的問題。他是開發XBOOLE軟體系統的團隊負責人。他是13本書的合著者和編輯，並在書籍、期刊的完整期刊和論文中發表了超過250篇章節。

他曾擔任IEEE國際多值邏輯研討會（ISMVL）的程式主席，並擔任多值邏輯與軟體計算期刊的客座編輯。他是自1994年開始的國際布林問題研討會（IWSBP）系列的發起人和總主席，至今已舉辦12次研討會。他於1983年獲得德累斯頓科技大學的巴爾考森獎。