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  • Reverse mathematics
  • arithmetical comprehension. The first-order part of ACA0 is exactly first-order Peano arithmetic; ACA0 is a conservative extension of first-order Peano arithmetic

  • Second-order arithmetic
  • example, the system ACA0 described below is equiconsistent with Peano arithmetic. The corresponding theory ACA, consisting of ACA0 plus the full second-order

  • Slicing the Truth
  • big five subsystems, ACA0. However, as David Seetapun originally proved, the version of the theorem for graphs is weaker than ACA0, and it turns out to

  • Proof theory
  • increasing strength, these systems are named by the initialisms RCA0, WKL0, ACA0, ATR0, and Π1 1-CA0. Nearly every theorem of ordinary mathematics that has

  • Lycosa dacica
  • 1197317 EUNIS: 226720 Fauna Europaea: 351752 Fauna Europaea (new): ee9ca53c-aca0-4fd4-97b6-1a0b9b1c2e7c GBIF: 5169140 iNaturalist: 789567 IRMNG: 11072171

  • Specker sequence
  • is equivalent to ACA0 over RCA0. In fact, the proof of the forward implication, i.e. that the least upper bound principle implies ACA0, is readily obtained

  • Ramsey's theorem
  • to the arithmetical comprehension axiom, making it part of the subsystem ACA0 of second-order arithmetic, one of the big five subsystems in reverse mathematics

  • Scortum neili
  • 122906680 NCBI: 2259150 Open Tree of Life: 3634460 Plazi: 6AAF0034-ED9B-FDFA-4D4B-A8B1C04EF0AA WoRMS: 1010986 ZooBank: 1A6DD21D-8C2B-45B9-ACA0-2B14F8430EC9

  • Kőnig's lemma
  • lemma is not provable in WKL0, but is equivalent to the stronger subsystem ACA0. The proof given above is not generally considered to be constructive, because

  • Harpalus bellieri
  • BioLib: 257019 EoL: 3461909 EUNIS: 108646 Fauna Europaea (new): 3b9b1b00-2941-4bcf-aca0-5fa36110658f GBIF: 7889620 NCBI: 2650830 Open Tree of Life: 6209670

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Astrological/horoscope meaning of aca0. aca0 means: undefined

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    A: Meaning of A in the acronym aca0 means: The letter A has two bars connected at a pointed edge and a cross bar holding them together. From an open end to a pointed edge signifies that all energies are trained to a point to achieve the most singularly important goal. The cross bar shows caution. Failure is avoided by stringing all required resources together. A also looks like a Pyramid with the peak as the apex of the Pyramid. Pyramids are iconic. A therefore symbolizes prominence and a desire to be recognized for ones achievements. The cross bar also represents a rung in ladder. To get to the top, one has to first step on the rung. It also means originality, a strong will power and an enterprising ability. The upper-case version consists of the two slanting sides of a triangle, crossed in the middle by a horizontal bar. It shows aspiration, the dominance to be successful, positive attitude, an optimistic world view and egotism.

    C: Meaning of C in the acronym aca0 means: C is a letter opened at one end. It exemplies openness, a welcoming attitude and the desire to share. This means healthy behaviours, confidence towards the outside world, positive thinking, striking, scholarstic abilities shown by an open-mindedness, lively and gregarious and triumphant. C curves aaway from the left to indicate prudence, nervousness in unfamiliar territory, tense and anxious behaviours when faced with the unknown.

    0: Meaning of 0 in the acronym aca0 means: undefined

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