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A New Term Rewriting Characterisation of ETIME functions

2013/12/27 by Martin Avanzini, Avanzini, Martin, Naohi Eguchi +1
Computer Science · #Computability, Logic, AI Algorithms #Computational Complexity (cs.CC) #FOS: Computer and information sciences #Logic in Computer Science (cs.LO) #Logic, Reasoning, and Knowledge #Logic, programming, and type systems

paper · pdf · doi:10.48550/arxiv.1312.7284

openalex publication_date 2013/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Adopting former term rewriting characterisations of polytime and exponential-time computable functions, we introduce a new reduction order, the Path Order for ETIME (POE* for short), that is sound and complete for ETIME computable functions. The proposed reduction order for ETIME makes contrasts to those related complexity classes clear.

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