This volume contains the proceedings of the 10th International Seminar on - lational Methods in Computer Science (RelMiCS 10) and the 5th International Workshop on Applications of Kleene Algebra (AKA 5). The joint conference took place in Frauenwo ]rthon an Island in Lake Chiem in Bavaria, April 7-April 11, 2008. Its purpose was to bring together researchers various subdisciplines of computer science, mathematics and related ?elds who use the calculus of - lations and/or Kleene algebra as methodological and conceptual tools in their work. This conference is the joint continuation of two di?erent strands of meetings. The seminars of the RelMiCS series were held in Schloss Dagstuhl (Germany) in January 1994, Parati (Brazil) in July 1995, Hammamet (Tunisia) in January 1997, Warsaw (Poland) in September 1998, Qu ebec (Canada) in January 2000, and Oisterwijk (The Netherlands) in October 2001. The meeting on Appli- tions of Kleene Algebra started as a workshop, also held in Schloss Dagstuhl, in February2001.Tojointhesetwothemesinoneconferencewasmainlymotivated by the substantial common interests and overlap of the two communities. Over the years this has led to fruitful interactions and openened new and interesting researchdirections.Jointmeetings havebeenheldinMalente(Germany)in May 2003, in St. Catherines (Canada) in February 2005 and in Manchester (UK) in August/September 2006. This volume contains 28 contributions by researchersfrom all overthe world."

This volume contains the proceedings of the 7th International Seminar on - lational Methods in Computer Science (RelMiCS 7) and the 2nd International Workshop onApplications ofKleeneAlgebra.Thecommonmeetingtookplacein Bad Malente (near Kiel), Germany, from May May 12-17,2003.Its purpose was to bring together researchers from various subdisciplines of Computer Science, Mathematics and related ?elds who use the calculi of relations and/or Kleene algebra as methodological and conceptual tools in their work. This meeting is the joint continuation of two di?erent series of meetings. Previous RelMiCS seminars were held in Schloss Dagstuhl (Germany) in J- uary 1994, Parati (Brazil) in July 1995, Hammamet (Tunisia) in January 1997, Warsaw (Poland) in September 1998, Quebec (Canada) in January 2000, and Oisterwijk (The Netherlands) in October 2001. The ?rst workshop on appli- tions of Kleene algebra was also held in Schloss Dagstuhl in February 2001. To join these two events in a common meeting was mainly motivated by the s- stantialcommoninterestsandoverlapofthetwocommunities.Wehopethatthis leads to fruitful interactions and opens new and interesting research directions

This book constitutes the proceedings of the 16th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2017, held in Lyon, France, in May 2017. The 17 revised full papers and 2 invited papers presented together with 1 invited abstract were carefully selected from 28 submissions. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.

We have all experienced delays and frustrations as a result of the notorious computer glitch. However, the more dependent we become on computational systems in our daily lives, the more we must ensure that they are safe, reliable and user-friendly.

This engaging textbook presents the fundamental mathematics and modelling techniques for computing systems in a novel and light-hearted way, which can be easily followed by students at the very beginning of their university education. Key concepts are taught through a large collection of challenging yet fun mathematical games and logical puzzles that require no prior knowledge about computers. The text begins with intuition and examples as a basis from which precise concepts are then developed; demonstrating how, by working within the confines of a precise structured method, the occurrence of errors in the system can be drastically reduced.

Topics and features: introduces important concepts from discrete mathematics as the basis of computational thinking, presented in a stimulating and motivating style; demonstrates how game theory provides a paradigm for an intuitive understanding of the nature of computation; contains more than 400 exercises throughout the text, with detailed solutions to half of these presented at the end of the book, together with numerous theorems, definitions and examples; describes an approach to the modelling of computing systems based on state transition systems, exploring the languages and techniques for expressing and reasoning about systems specifications and concurrent implementations.

This clearly written and classroom-tested textbook/reference is essential reading for first-year undergraduate modules on discrete mathematics and systems modelling."