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Polynomial Path Orders
2013
Logical Methods in Computer Science
This paper is concerned with the complexity analysis of constructor term rewrite systems and its ramification in implicit computational complexity. We introduce a path order with multiset status, the polynomial path order POP*, that is applicable in two related, but distinct contexts. On the one hand POP* induces polynomial innermost runtime complexity and hence may serve as a syntactic, and fully automatable, method to analyse the innermost runtime complexity of term rewrite systems. On the
doi:10.2168/lmcs-9(4:9)2013
fatcat:dwikxzghx5dojfhakj7qkz24xq