Geodesic
Modelling the Pulsating Process
Algebra i logika, Tome 42 (2003) no. 6, pp. 641-654

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We continue research on machine-oracle modelling of second-order arithmetic. The pulsating process described in [1], [2] is simulated using oracles of so-called autonomous hierarchies. The outcome is constructing a generalized constructive model for a fragment of second-order arithmetic described in [2].
Keywords: jump, partial oracle, second-order arithmetic, iterated Kleene computability. 
@article{AL_2003_42_6_a0,
     author = {E. V. Gailit},
     title = {Modelling the {Pulsating} {Process}},
     journal = {Algebra i logika},
     pages = {641--654},
     publisher = {mathdoc},
     volume = {42},
     number = {6},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2003_42_6_a0/}
}
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E. V. Gailit. Modelling the Pulsating Process. Algebra i logika, Tome 42 (2003) no. 6, pp. 641-654. http://geodesic.mathdoc.fr/item/AL_2003_42_6_a0/