We investigate the parallel complexity of recognition problems for context-free and regulararray (image) sets. We show that the sequential time complexity of the recognition of an n × n image is O(n 5 ). The spa...
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We investigate the parallel complexity of recognition problems for context-free and regulararray (image) sets. We show that the sequential time complexity of the recognition of an n × n image is O(n 5 ). The space required for these recognition problems is O(n 5 ). We prove that there are log 2 n time parallel algorithms with BM (n 4 ) and n 2 BM (n) processors for the recognition of context-free and regulararray sets, respectively, where BM (n) is the number of processors sufficient to multiply two boolean n × n matrices in logarithmic time. We develop also a methodology for processing images using composition systems.
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