@Article{benamramjones00, author = "A. Ben-Amram and N. D. Jones", title = "Computational Complexity via Programming Languages: Constant Factors Do Matter", journal = "Acta Informatica", volume = "37", pages = "83--120", year = "2000", keywords = "time complexity, hierarchy theorem, universal program", summary = "We propose a simple programming language as a computational model for fundamental studies in complexity. We show that a constant-factor time hierarchies exist for this model: thus a constant-factor difference in time makes a difference in problem-solving power, unlike the situation with Turing machines. We give hierarchy theorems for deterministic and non-deterministic programs, as well as for tally sets. We also consider the effects some modifications of the language may have on time complexity of problems, and discuss the rationale of using a programming language model in complexity. This paper elaborates and extends the ideas presented in Jones' STOC '93 article.", puf = "Artikel optaget i tidsskrift", }