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Efficient implementation of lattice operations (1989)
| Venue: | ACM Transactions on Programming Languages and Systems |
| Citations: | 126 - 8 self |
BibTeX
@ARTICLE{Boyer89efficientimplementation,
author = {Robert Boyer and Patrick Lincoln and Roger Nasr},
title = {Efficient implementation of lattice operations},
journal = {ACM Transactions on Programming Languages and Systems},
year = {1989},
volume = {11},
pages = {115--146}
}
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Abstract
complementation (BUTNOT) are becoming more and more important in programming languages supporting object inheritance. We present a general technique for the efficient implementation of such operations based on an encoding method. The effect of the encoding is to plunge the given ordering into a boolean lattice of binary words, leading to an almost constant time complexity of the lattice operations. A first method is described based on a transitive closure approach. Then a more space-efficient method minimizing code-word length is described. Finally a powerful grouping tech-nique called modulation is presented, which drastically reduces code space while keeping all three lattice operations highly efficient. This technique takes into account idiosyncrasies of the topology of the poset being encoded that are quite likely to occur in practice. All methods are formally justified. We see this work as an original contribution towards using semantic (vz., in this case, taxonomic) information in the engineering pragmatics of storage and retrieval of (vz., partially or quasi-ordered) information.
Keyphrases
lattice operation efficient implementation object inheritance boolean lattice account idiosyncrasy first method binary word general technique code-word length original contribution towards code space engineering pragmatic space-efficient method constant time complexity transitive closure approach
