A system and method are provided that in one aspect eliminate redundant array range checks by performing a versioning for a loop. In another aspect, a system and method optimize array range checks by performing data-flow analysis in reverse order of the program execution. Yet in another aspect, a system and method obtains information about array ranges already checked by performing data-flow analysis in program execution order and eliminate redundant array range checks from this information.

 
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> Method and apparatus for performing a transaction without the use of spoken communication between the transaction parties

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