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Automatic Complexity Analysis

Identifieur interne : 000212 ( LNCS/Analysis ); précédent : 000211; suivant : 000213

Automatic Complexity Analysis

Auteurs : Flemming Nielson [Danemark] ; Hanne Riis Nielson [Danemark] ; Helmut Seidl [Allemagne]

Source :

RBID : ISTEX:EB7186CC090D19320A84864F0CB4065CC4B95D28

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English descriptors

Abstract

Abstract: We consider the problem of automating the derivation of tight asymptotic complexity bounds for solving Horn clauses. Clearly, the solving time crucially depends on the “sparseness” of the computed relations. Therefore, our asymptotic runtime analysis is accompanied by an asymptotic sparsity calculus together with an asymptotic sparsity analysis. The technical problem here is that least fixpoint iteration fails on asymptotic complexity expressions: the intuitive reason is that O(1)+ srO(1) = O(1) but O(1) + ⋯ + O(1) may return any value.

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DOI: 10.1007/3-540-45927-8_18


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ISTEX:EB7186CC090D19320A84864F0CB4065CC4B95D28

Le document en format XML

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