Nonrelativizing Separations

نویسندگان

  • Harry Buhrman
  • Lance Fortnow
  • Thomas Thierauf
چکیده

We show that MAEXP, the exponential time version of the Merlin-Arthur class, does not have polynomial size circuits. This significantly improves the previous known result due to Kannan since we furthermore show that our result does not relativize. This is the first separation result in complexity theory that does not relativize. As a corollary to our separation result we also obtain that PEXP, the exponential time version of PP is not in P=poly.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Oracles versus Proof Techniques that Do Not Relativize

Oracle constructions have long been used to provide evidence that certain questions in complexity theory cannot be resolved using the usual techniques of simulation and diagonalization. However, the existence of nonrelativizing proof techniques seems to call this practice into question. This paper reviews the status of nonrelativizing proof techniques, and argues that many oracle constructions ...

متن کامل

The Role of Relativization in Complexity Theory

Several recent nonrelativizing results in the area of interactive proofs have caused many people to review the importance of relativization. In this paper we take a look at how complexity theorists use and misuse oracle results. We pay special attention to the new interactive proof systems and program checking results and try to understand why they do not relativize. We give some new results th...

متن کامل

Engineering of Membrane Gas Separation Processes: State of The Art and Prospects

Membrane processes are today one of the key technologies for industrial gas separations and show growing interest for future use in sustainable production systems. Besides materials development, dedicated engineering methods are of major importance for the rigorous and most efficient design of membrane units and systems. Starting from approaches based on simplified hypotheses developed in the 5...

متن کامل

A prospective cohort study of hospital separations among people who inject drugs in Australia: 2008–2013

OBJECTIVES Injecting drug use is a persistent behaviour that increases the risk of morbidities and mortality. We assessed the burden of hospital separations among people who inject drugs (PWID), the excess compared to the general population and characteristics of separations associated with frequent use. DESIGN Prospective cohort study. SETTING All public and private hospitals in Victoria. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998