String diagrams are powerful graphical methods for reasoning in elementary category theory. Written in an informal expository style, this book provides a self-contained introduction to these diagrammatic techniques, ideal for graduate students and researchers. Much of the book is devoted to worked examples highlighting how best to use string diagrams to solve realistic problems in elementary category theory. A range of topics are explored from the perspective of string diagrams, including adjunctions, monad and comonads, Kleisli and Eilenberg–Moore categories, and endofunctor algebras and coalgebras. Careful attention is paid throughout to exploit the freedom of the graphical notation to draw diagrams that aid understanding and subsequent calculations. Each chapter contains plentiful exercises of varying levels of difficulty, suitable for self-study or for use by instructors.

This book contains the selected peer-reviewed and revised papers from the 24th International Symposium on Implementation and Application of Functional Languages, IFL 2012, held in Oxford, UK, in August/September 2012. The 14 papers included in this volume were carefully reviewed and selected from 28 revised submissions received from originally 37 presentations at the conference. The papers relate to the implementation and application of functional languages and function-based programming.

This tutorial book presents six carefully revised lectures given at the Spring School on Datatype-Generic Programming, SSDGP 2006. This was held in Nottingham, UK, in April 2006. It was colocated with the Symposium on Trends in Functional Programming (TFP 2006), and the Conference of the Types Project (TYPES 2006). All the lectures have been subjected to thorough internal review by the editors and contributors, supported by independent external reviews.

This book constitutes the refereed proceedings of the 12th International Conference on Mathematics of Program Construction, MPC 2015, held in Koenigswinter, Germany, in June/July 2015. The 15 revised full papers presented together with two invited talks were carefully reviewed and selected from 20 submissions. The papers are about mathematical methods and tools put to use in program construction. They range from algorithmics to support for program construction in programming languages and systems. Some typical areas are type systems, program analysis and transformation, programming-language semantics, security, and program logics.

Das Leitmotiv dieses Buches ist die Verwendung von Logik als Datenbanksprache. Zunachst werden die Grundlagen der logischen Programmierung erarbeitet und ein spezielles Grundmodell deduktiver Datenbanken definiert. Es folgt die schrittweise Erweiterung dieses Grundmodells um Datenbankkonzepte wie Anfrageauswertung, Integritatsprufung und AEnderungsbearbeitung. Anschliessend werden Typ- und Modussysteme diskutiert. Das Buch schliesst mit einem praktischen Teil, in dem die prototypische Realisierung des vorgestellten deduktiven Datenbanksystems in Prolog eroertert wird.