By Luca Aceto, Anna Ingólfsdóttir, Kim Guldstrand Larsen, Jiri Srba
Formal tools is the time period used to explain the specification and verification of software program and software program structures utilizing mathematical good judgment. a variety of methodologies were built and included into software program instruments. an enormous subclass is sent structures. there are lots of books that examine specific methodologies for such structures, e.g. CSP, approach algebra. This ebook bargains a extra balanced creation for graduate scholars that describes many of the methods, their strengths and weaknesses, and after they are most sensible used. Milner's CCS and its operational semantics are brought, including notions of behavioral equivalence in keeping with bisimulation innovations and with versions of Hennessy-Milner modal logics. Later within the publication, the offered theories are prolonged to take timing matters into consideration. The ebook has arisen from a number of classes taught in Iceland and Denmark and is designed to offer scholars a extensive creation to the realm, with routines all through.
Read or Download Reactive systems: modelling, specification and verification PDF
Similar system theory books
Stochastic Differential Equations
This e-book provides an creation to the elemental idea of stochastic calculus and its purposes. Examples are given during the textual content, in an effort to inspire and illustrate the speculation and express its value for plenty of purposes in e. g. economics, biology and physics. the fundamental suggestion of the presentation is to begin from a few simple effects (without proofs) of the simpler circumstances and boost the idea from there, and to be aware of the proofs of the better case (which however are frequently sufficiently basic for lots of reasons) so as to have the capacity to achieve speedy the elements of the idea that is most crucial for the purposes.
Algebraic Methods for Nonlinear Control Systems (Communications and Control Engineering)
It is a self-contained advent to algebraic keep watch over for nonlinear structures appropriate for researchers and graduate scholars. it's the first ebook facing the linear-algebraic method of nonlinear regulate structures in this type of exact and wide model. It offers a complementary method of the extra conventional differential geometry and bargains extra simply with a number of very important features of nonlinear platforms.
Hyperbolic Chaos: A Physicist’s View
"Hyperbolic Chaos: A Physicist’s View” offers fresh growth on uniformly hyperbolic attractors in dynamical platforms from a actual instead of mathematical viewpoint (e. g. the Plykin attractor, the Smale – Williams solenoid). The structurally good attractors appear robust stochastic houses, yet are insensitive to version of capabilities and parameters within the dynamical structures.
Fundamentals of complex networks : models, structures, and dynamics
Advanced networks equivalent to the net, WWW, transportation networks, strength grids, organic neural networks, and medical cooperation networks of all types offer demanding situations for destiny technological improvement. • the 1st systematic presentation of dynamical evolving networks, with many updated purposes and homework initiatives to augment research• The authors are all very energetic and recognized within the swiftly evolving box of advanced networks• complicated networks have gotten an more and more very important zone of study• awarded in a logical, positive variety, from simple via to advanced, studying algorithms, via to build networks and examine demanding situations of the longer term
- Elementary symbolic dynamics and chaos in dissipative systems
- Nonlinear Model Predictive Control: Theory and Algorithms
- Computer Arts (August 2005)
- Optimization: Foundations and Applications
- Ordinary Differential Equations and Mechanical Systems
- Growth and Diffusion Phenomena: Mathematical Frameworks and Applications
Additional resources for Reactive systems: modelling, specification and verification
Example text
1) is formally specified thus: Proc = SmUni, (CM | CS1 ) \ coin \ coffee, (CM1 | CS2 ) \ coin \ coffee, (CM | CS) \ coin \ coffee , Act = pub, τ , pub → = { SmUni, (CM | CS1 ) \ coin \ coffee , (CM | CS) \ coin \ coffee, (CM | CS1 ) \ coin \ coffee τ →= , (CM | CS1 ) \ coin \ coffee, (CM1 | CS2 ) \ coin \ coffee , (CM1 | CS2 ) \ coin \ coffee, (CM | CS) \ coin \ coffee . As mentioned above, we shall often distinguish a so-called start state (or initial state ), which is one selected state in which the system initially starts.
R We write s → s whenever there is an action α ∈ Act such that s → s. 6 we have, for example, that p → p1 , p1 → p, p2 → p1 and p2 → p2 . α α r We use the notation s → to mean that there is some s ∈ Proc such that s → s . 6 we have, for example, that p → and b p1 →. w r We write s →∗ s iff s → s for some w ∈ Act∗ . In other words, →∗ is the reflexive and transitive closure of the relation →. 6 we have, for example, that p →∗ p, p →∗ p1 and p2 →∗ p. 4 Consider the following LTS: sy a G s1 a s3 o a a α s2 Define the LTS as a triple (Proc, Act, {→| α ∈ Act}).
6) The behaviour of such a process is intuitively clear. For each non-negative integer n, the process Countern behaves like a counter whose value is n; the ‘up’ actions increase the value of the counter by one and the ‘down’ actions decrease it by one. 2 SOS rules for CCS (α ∈ Act, a ∈ L) the basis of its syntactic description and on the intuitive understanding of process behaviour that we have so far developed. However, intuition alone can lead us to wrong conclusions and, most importantly, cannot be fed into a computer!