The design of formal calculi in which fundamental concepts underlying interactive systems can be described and studied has been a central theme of theoretical computer science in recent decades, while membrane computing, a rule-based formalism inspired by biological cells, is a more recent field that belongs to the general area of natural computing. This is the first book to establish a link between these two research directions while treating mobility as the central topic.
In the first chapter the authors offer a formal description of mobility in process calculi, noting the entities that move: links (pi-calculus), ambients (ambient calculi) and branes (brane calculi). In the second chapter they study mobility in the framework of natural computing. The authors define several systems of mobile membranes in which the movement inside a spatial structure is provided by rules inspired by endocytosis and exocytosis. They study their computational power in comparisonwith the classical notion of Turing computability and their efficiency in algorithmically solving hard problems in polynomial time. The final chapter deals with encodings, establishing links between process calculi and membrane computing so that researchers can share techniques between these fields.
The book is suitable for computer scientists working in concurrency and in biologically inspired formalisms, and also for mathematically inclined scientists interested in formalizing moving agents and biological phenomena. The text is supported with examples and exercises, so it can also be used for courses on these topics.
In the first chapter the authors offer a formal description of mobility in process calculi, noting the entities that move: links (pi-calculus), ambients (ambient calculi) and branes (brane calculi). In the second chapter they study mobility in the framework of natural computing. The authors define several systems of mobile membranes in which the movement inside a spatial structure is provided by rules inspired by endocytosis and exocytosis. They study their computational power in comparisonwith the classical notion of Turing computability and their efficiency in algorithmically solving hard problems in polynomial time. The final chapter deals with encodings, establishing links between process calculi and membrane computing so that researchers can share techniques between these fields.
The book is suitable for computer scientists working in concurrency and in biologically inspired formalisms, and also for mathematically inclined scientists interested in formalizing moving agents and biological phenomena. The text is supported with examples and exercises, so it can also be used for courses on these topics.
From the reviews:
"The book is very well written and structured. It provides enough background so that it can be read not only by experts but also by advanced undergraduate and graduate students. ... syntax of each formalism is clearly introduced and their operational semantics are unambiguously defined. ... Throughout the book, examples with illustrative figures are used to introduce the key definitions and concepts. Exercises are also provided that can guide the reader to more advanced analysis." (Mario Jesús Pérez-Jiménez, Mathematical Reviews, March, 2014)
"The book is very well written and structured. It provides enough background so that it can be read not only by experts but also by advanced undergraduate and graduate students. ... syntax of each formalism is clearly introduced and their operational semantics are unambiguously defined. ... Throughout the book, examples with illustrative figures are used to introduce the key definitions and concepts. Exercises are also provided that can guide the reader to more advanced analysis." (Mario Jesús Pérez-Jiménez, Mathematical Reviews, March, 2014)