We propose a sound and complete axiomatisation of a class of graphs with nesting and either locally or globally restricted nodes. Such graphs allow to represent explicitly and at the right level of abstraction some relevant topological and logical features of models and systems, including nesting, hierarchies, sharing of resources, and pointers or links. We also provide an encoding of the propo...

Woodley Packard December 16, 2005 Introduction Logical representations of musical data are widely available in varying forms (for instance, MIDI files are ubiquitous on the internet). Matching acoustic recordings of musical performances are also available from CD stores, online music stores, or other repositories. However, due to variation in tempo and dynamic in performances, the time series a...

We present a sound and complete logical system for deriving inclusions between graphs from inclusions between graphs, taken as hypotheses. Graphs provide a natural tool for expressing relations and reasoning about them. Here we extend this system to a sound and complete one to cope with proofs from hypotheses. This leads to a system dealing with complementation. Other approaches using pictures ...

We study proof systems for reasoning about logical consequences and refinement of structured specifications, based on similar systems proposed earlier in the literature [ST 88, Wir 91]. Following Goguen and Burstall, the notion of an underlying logical system over which we build specifications is formalized as an institution and extended to a more general notion, called (D, T )-institution. We ...

urban effete textures are multiple problems at conspectus skeletal, environmental, social and economic that encounter life of inhabitants with problem in this texture. according to the research, almost 90% of population in country exposed hazard of occurrence earthquake. in this face, by reason of problems, effete textures are over damage if the earthquake happened. nonetheless, to make provisi...

fault tree analysis (fta) as a probabilistic risk assessment (pra) method is used to identify basic causes leading to an undesired event, to represent logical relation of these basic causes in leading to the event, and finally to calculate the probability of occurrence of this event. to conduct a quantitative fta, one needs a fault tree along with failure data of the basic events (bes). someti...