By Xishun Zhao, Qi Feng, Byunghan Kim, Liang Yu

This quantity presents a discussion board which highlights new achievements and overviews of contemporary advancements of the thriving common sense teams within the Asia-Pacific area. It includes papers by way of top logicians and in addition a few contributions in computing device technological know-how logics and philosophic logics.

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**Extra resources for Proceedings of the 13th Asian Logic Conference**

**Example text**

Symbolic Logic 70, 515 (2005). 14. B. Kjos-Hanssen, W. Merkle and F. Stephan, Kolmogorov complexity and the Recursion Theorem, in STACS 2006 , ed. B. Durand, Lecture Notes in Comput. , Vol. 3884 (Springer, Berlin, 2006) pp. 149–161. 15. S. D. Dissertation, University of Illinois, Urbana, (University of Illinois at Urbana-Champaign, 1981). 16. R. Downey and D. Hirschfeldt, Algorithmic randomness and complexity (Springer-Verlag, Berlin, 2010), 855 pages. 17. J. S. Miller, Extracting information is hard: A Turing degree of nonintegral effective Hausdorff dimension, Adv.

If ϕe dominates f then we take D = { e, n : n ∈ ω} and take σ(x) = {0, · · · , ϕe (x)}. Clearly σ is a (D, g) trace tracing f , contradiction. So the notion of “partial computably traceable” coincides with being hyperimmune-free if the bound g is allowed to be partial. If g is required to be total, however, we obtain a different notion. This latter notion is page 24 February 2, 2015 13:27 9596 - Asian Logic Conference ws-procs9x6 25 obviously still weaker than being computably traceable, but is now strictly stronger than being hyperimmune-free.

2) 53, 19 (1996). 24. A. Blass, Combinatorial cardinal characteristics of the continuum, in Handbook of Set Theory, eds. M. Foreman and A. Kanamori (Springer, Dordrecht Heidelberg London New York, 2010) pp. 395–489. 25. H. Judah and S. Shelah, Suslin forcing, J. Symbolic Logic 53, 1188 (1988). 26. A. Blass and S. Shelah, There may be simple Pℵ1 - and Pℵ2 -points and the Rudin-Keisler ordering may be downward directed, Ann. Pure page 27 February 2, 2015 13:27 9596 - Asian Logic Conference ws-procs9x6 28 Appl.

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