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  2. Post's theorem - Wikipedia

    en.wikipedia.org/wiki/Post's_theorem

    Now Suppose () is a formula in + with existential quantifiers followed by universal quantifiers etc. Equivalently, () has > existential quantifiers followed by a negation of a formula in +; the latter formula can be enumerated by an oracle machine with an oracle for () and can thus be checked immediately by an oracle for (+).

  3. Oracle Database - Wikipedia

    en.wikipedia.org/wiki/Oracle_Database

    Oracle Database (commonly referred to as Oracle DBMS, Oracle Autonomous Database, or simply as Oracle) is a proprietary multi-model [4] database management system produced and marketed by Oracle Corporation. It is a database commonly used for running online transaction processing (OLTP), data warehousing (DW) and mixed (OLTP & DW) database ...

  4. First-order logic - Wikipedia

    en.wikipedia.org/wiki/First-order_logic

    Magnus, P. D.; forall x: an introduction to formal logic. Covers formal semantics and proof theory for first-order logic. Metamath: an ongoing online project to reconstruct mathematics as a huge first-order theory, using first-order logic and the axiomatic set theory ZFC. Principia Mathematica modernized.

  5. Polynomial hierarchy - Wikipedia

    en.wikipedia.org/wiki/Polynomial_hierarchy

    The hierarchy can be defined using oracle machines or alternating Turing machines. It is a resource-bounded counterpart to the arithmetical hierarchy and analytical hierarchy from mathematical logic. The union of the classes in the hierarchy is denoted PH.

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  7. Oracle Corporation - Wikipedia

    en.wikipedia.org/wiki/Oracle_Corporation

    Oracle Corporation is an American multinational computer technology company headquartered in Austin, Texas. [5] Co-founded in 1977 by Larry Ellison, who remains executive chairman, Oracle was the third-largest software company in the world in 2020 by revenue and market capitalization. [6]

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    mail.aol.com

    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  9. Oracle machine - Wikipedia

    en.wikipedia.org/wiki/Oracle_machine

    an oracle tape, which is a semi-infinite tape separate from the work tape. The alphabet for the oracle tape may be different from the alphabet for the work tape. an oracle head which, like the read/write head, can move left or right along the oracle tape reading and writing symbols; two special states: the ASK state and the RESPONSE state.