
The user defines a mapping from parameter values to colors for six different parameter types. States are viewed as collections of scalar-execution parameters. Seecube is an interactive graphical analysis tool for viewing these state traces.

He combines event traces from all processors into a single global-event trace, and uses this to compute a state trace for the entire network of processors. Using the Intel iPSC and NCUBE hypercubes as examples, the author shows how global performance of a message-passing multiprocessor can be reconstructed from event traces of message-passing activity for each constituent processor. The static and dynamic program dependence graphs of the individual processes are tied together with synchronization and data dependence information to form complete graphs that represent the entire program. The flowback analysis can span process boundaries i.e., the most recent modification to a shared variable might be traced to a different process than the one that contains the current reference.
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Then, he describes how to extend the flowback analysis to parallel programs. The cornerstone of the incremental tracing concept is to generate a coarse trace during execution and fill incrementally, during the interactive portion of the debugging session, the gap between the information gathered in the coarse trace and the information needed to do the flowback analysis using the coarse trace. As part of the semantic analysis, he uses a static program dependence graph structure that reduces the amount of work done at compile time and takes advantage of the dynamic information produced during execution time. He uses semantic analysis and a technique called incremental more » tracing to keep the time and space overhead low.

Execution time overhead is kept low by recording only a small amount of trace during a program's execution. The author first describes the use of flowback analysis to provide information on causal relationship between events in a programs' execution without re-executing the program for debugging. The goal of the debugging system is to present to the programmer a graphical view of the dynamic program dependences while keeping the execution-time overhead low. This thesis describes the design and implementation of an integrated debugging system for parallel programs running on shared memory multi-processors. Furthermore, when | F v| = f v ≤ n − 2, we prove that there exists the longest fault-free cycle, which is of even length 2 n − 2 f v whether n ( n ≥ 3) and k have the same parity or not and there exists the longest fault-free cycle, which is of odd length 2 n − 2 f v + 1 in Q n,k − F v where n (≥ 3) and k have the different parity.= , When | F v| = 2, we showed that Q n,k − F v contains a fault-free cycle of every even length from 4 to 2 n – 4 where n ( n ≥ 3) and k have the same parity and contains a fault-free cycle of every even length from 4 to 2 n − 4, simultaneously, contains a cycle of every odd length from n − k + 2 to 2 n − 3 where n (≥ 3) and k have the different parity. Let F v be the set of faulty vertices in the n-dimensional enhanced hypercube Q n,k ( n ≥ 3, 1 ≤ k ≤ n − 1). In this paper, we study the enhanced hypercube, an attractive variant of the hypercube and obtained by adding some complementary edges from a hypercube, and focus on cycles embedding on the enhanced hypercube with faulty vertices.
