This book constitutes the refereed proceedings of the 12th International Conference on Intelligent Computer Mathematics, CICM 2019, held in Prague, Czech Republic, in July 2019. The 19 full papers presented were carefully reviewed and selected from a total of 41 submissions. The papers focus on digital and computational solutions which are becoming the prevalent means for the generation, communication, processing, storage and curation of mathematical information. Separate communities have developed to investigate and build computer based systems for computer algebra, automated deduction, and mathematical publishing as well as novel user interfaces. While all of these systems excel in their own right, their integration can lead to synergies offering significant added value.

DESCRIPTION Types are often seen as a tool for checking errors, with the programmer writing a complete program first and using the type checker to detect errors. And while tests are used to show presence of errors, they can only find errors that you explicitly test for. In typedriven development, types become your tools for constructing programs and, used appropriately, can show the absence of errors. And you can express precise relationships between data, your assumptions are explicit and checkable, and you can precisely state and verify properties. Type-driven development lets users write extensible code, create simple specifications very early in development, and easily create mock implementation for testing. Type-Driven Development with Idris, written by the creator of Idris, teaches programmers how to improve the performance and accuracy of programs by taking advantage of a state-of-the-art type system. This book teaches readers using Idris, a language designed from the very beginning to support type-driven development. Readers learn how to manipulate types just like any other construct (numbers, strings, lists, etc.). This book teaches how to use type-driven development to build real-world software, as well as how to handle side-effects, state and concurrency, and interoperating with existing systems. By the end of this book, readers will be able to develop robust and verified software in Idris and apply type-driven development methods to programming in other languages. KEY FEATURES * Written by the creator of Idris * Improve performance and accuracy of programs * Teaches Idris, a new type-driven development language * Hands-on code examples * Build real-world software AUDIENCE Written for programmers with knowledge of basic functional programming concepts. ABOUT THE TECHNOLOGY Type-driven development lets you write extensible code, create simple specifications very early in development, and easily create mock implementation for testing. In type-driven development, types become your tools for constructing programs and, used appropriately, can show the absence of errors.