Everywhere one looks, one finds dynamic interacting systems: entities expressing and receiving signals between each other and acting and evolving accordingly over time. In this book, the authors give a new syntax for modeling such systems, describing...Daugiau...
The P vs. NP problem is one of the fundamental problems of mathematics. It asks whether propositional tautologies can be recognized by a polynomial-time algorithm. The problem would be solved in the negative if one could show that there are propositi...Daugiau...
This book, intended for PhD students and researchers, revisits the theory of rewriting and presentations of algebraic structures, through the unified approach provided by polygraphs, and put it in the context of homotopical algebra. It introduces the...Daugiau...
Discrete quantum walks are quantum analogues of classical random walks. They are an important tool in quantum computing and a number of algorithms can be viewed as discrete quantum walks, in particular Grovers search algorithm. These walks are cons...Daugiau...
Readers will learn how to automatically prove or disprove new results in combinatorics and number theory in milliseconds by phrasing their desired results in first-order logic and using free software to automate the computation process. Containing mo...Daugiau...
The Foundations of Computational Mathematics meetings are a platform for cross-fertilisation between numerical analysis, mathematics and computer science. This volume is a collection of articles based on plenary presentations, given at the 2011 meeti...Daugiau...
Intended for researchers and graduate students in theoretical computer science and mathematical logic, this volume contains accessible surveys by leading researchers from areas of current work in logical aspects of computer science, where both finit...Daugiau...
This book introduces a new approach to building models of bounded arithmetic, with techniques drawn from recent results in computational complexity. Propositional proof systems and bounded arithmetics are closely related. In particular, proving lowe...Daugiau...
The study of permutation patterns is a thriving area of combinatorics that relates to many other areas of mathematics, including graph theory, enumerative combinatorics, model theory, the theory of automata and languages, and bioinfonnatics.A...Daugiau...
Since the appearance of the authors first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil an...Daugiau...
These eight papers from the August 200 conference, which was designed for interaction amongst those interested in numerical analysis, mathematics and computer science, include such topics as Jacobi sets, approximations of boundary element operators,...Daugiau...
Collection of papers by leading researchers in computational mathematics, suitable for graduate students and researchers. The Society for the Foundations of Computational Mathematics supports fundamental research in a wide spectrum of computa...Daugiau...
In the past few years elliptic curve cryptography has moved from a fringe activity to a major system in the commercial world. This timely work summarizes knowledge gathered at Hewlett-Packard over a number of years and explains the mathematics behind...Daugiau...
A series of 15 papers commemorating the Leeds Recursion Theory Year, 1993-94, combining background and introductory material with recent developments such as solutions to the stubborn problems of definability, decidability, and automorphisms. Array n...Daugiau...
Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992. The Computer Algebra and Differential Equations meeting held in France in June 1992 (CADE-92) was the third of a series of biennial work...Daugiau...
The aim of these notes is to link algorithmic problems arising in knot theory with statistical physics and classical combinatorics. Apart from the theory of computational complexity needed to deal with enumeration problems, introductions are given to...Daugiau...
Applications of category theory and related topics of mathematics to computer science have been a growing area in recent years. This book contains selected papers on the subject from the London Mathematical Society Symposium held at the University o...Daugiau...
