{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/16748"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/16748","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Circular Reasoner: A package in Mathematica for the execution of certain otherwise non-terminating functional programs","abstract":"We have designed Circular Reasoner, a package in Mathematica for the specification of functional programs using rewrite rules. The package detects certain recursions of a cyclical nature, and through repeated refinement of a set of initial guesses of final values for relevant terms, arrives at a value consistent with the equations used to define the functional program. 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