منابع مشابه
Slow consistency
The fact that “natural” theories, i.e. theories which have something like an “idea” to them, are almost always linearly ordered with regard to logical strength has been called one of the great mysteries of the foundation of mathematics. However, one easily establishes the existence of theories with incomparable logical strengths using self-reference (Rosser-style). As a result, PA + Con(PA) is ...
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Partial consistency statements can be expressed as polynomial-size propositional formulas. Frege proof systems have polynomial-size partial self-consistency proofs. Frege proof systems have polynomialsize proofs of partial consistency of extended Frege proof systems if and only if Frege proof systems polynomially simulate extended Frege proof systems. We give a new proof of Reckhow’s theorem th...
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We give short proofs of the adjacency matrix characterizations of interval digraphs and unit interval digraphs.
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We show how to produce short proofs of theorems such that a distrusting Verifier can be convinced that the theorem is true yet obtains no information about the proof itself. The proofs are non-interactive provided that the quadratic residuosity bit commitment scheme is available to the Prover and Verifier. For typical applications, the proofs are short enough to fit on a floppy disk.
متن کاملVery Short Primality Proofs
It is shown that every prime p has a proof of its primality of length 0(logp) multiplications modulo p.
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 2020
ISSN: 0029-4527
DOI: 10.1215/00294527-2019-0031