Asynchronous chain recursions

The authors study the compilation and efficient processing of asynchronous chain recursions and show that many complex function-free recursions, which may contain single or multiple linear recursive rules, nonlinear recursive rules, mutually recursive rules, and multiple-level recursions, can be compiled to asynchronous chain recursions. The study on the compilation methods, the simplification of compiled formulas, and the query-processing techniques shows that asynchronous chain recursions can be compiled to relatively simple compiled formulas and processed efficiently using transitive closure query-processing methods