Publications of Peter A. Fejer


Mathematical Foundations of Computer Science, Volume 1: Sets, Relations, and Induction (with D. Simovici), Texts and Monographs in Computer Science, Springer-Verlag, New York, 1991.


Computability Theory

  1. The plus-cupping theorem for the recursively enumerable degrees (with R.I. Soare), in M. Lerman, J.H. Schmerl and R.I. Soare, eds., Proceedings of the Logic Year 1979-1980, Lecture Notes in Mathematics, Vol 859, Springer-Verlag, Berlin, 1981, 49-62.
  2. Branching degrees above low degrees, Transactions of the American Mathematical Society, 273, 1(1982), 157-180.
  3. The density of the nonbranching degrees, Annals of Pure and Applied Logic, 24, 2(1983), 113-130.
  4. Embeddings and extensions of embeddings in the r.e. tt- and wtt- degrees (with R.A. Shore), in H.D. Ebbinghaus, G.H. Muller and G.E. Sacks, eds., Recursion Theory Week (Proceedings of a Conference held in Oberwolfach, West Germany, April 15-21, 1984), Lecture Notes in Mathematics, Vol. 1141, Springer-Verlag, Berlin, 1985, 121-140.
  5. Infima of recursively enumerable tt-degrees (with R.A. Shore), Notre Dame Journal of Formal Logic, 29, 3(1988), 420-437.
  6. Degree theoretical splitting properties of recursively enumerable sets (with K. Ambos-Spies), Journal of Symbolic Logic, 53, 4(1988), 1110-1137.
  7. Embedding lattices with top preserved below non-GL2 degrees, Zeitschrift fuer Mathematische Logik und Grundlagen der Mathematik, 35, 1(1989), 3-14. dvi file ps file
  8. A direct construction of a minimal recursively enumerable truth-table degree (with R. Shore), in K. Ambos-Spies, G. Mueller and G. E. Sacks, eds., Recursion Theory Week (Proceedings of a Conference held in Oberwolfach, FRG, March 19-25, 1989), Lecture Notes in Mathematics, Vol. 1432, Springer-Verlag, Berlin, 1990, 187-204. dvi file ps file
  9. Embedding distributive lattices preserving 1 below a nonzero recursively enumerable Turing degree (with K. Ambos-Spies and D. Decheng), in J. Crossley et al., eds., Logical Methods: In Honor of Anil Nerode's Sixtieth Birthday, Progress in Computer Science and Applied Logic, Volume 12, Birkhauser, Boston, 1993, 92-129. dvi file ps file
  10. Decidability of the two-quantifier theory of the recursively enumerable weak truth-table degrees and other distributive upper semi-lattices (with K. Ambos-Spies, S. Lempp and M. Lerman), Journal of Symbolic Logic, 61, 3(1996), 880-905. dvi file ps file
  11. Lattice representations for computability theory, Annals of Pure and Applied Logic, 94 , 1-3(1998), 53-74. dvi file ps file
  12. Collapsing polynomial-time degrees (with K. Ambos-Spies, L. Bentzien, W. Merkle, F. Stephan), in S. Buss et al., eds., Logic Colloquium '98, Lecture Notes in Logic, Volume 13, Association for Symbolic Logic, Natick, MA, 2000, 1-24. dvi file ps file
  13. Every incomplete computably enumerable truth-table degree is branching (with R. Shore), Archive for Mathematical Logic , 40 , 2(2001), 113-123. dvi file ps file
  14. Embeddings of N5 and the contiguous degrees (with K. Ambos-Spies), Annals of Pure and Applied Logic , 112 , (2001), 151-188. dvi file ps file
  15. Enumerations of the Kolmogorov function (with R. Beigel, H. Buhrman, L. Fortnow, P. Grabowski, L. Longpre, A. Muchnik, F. Stephan, L. Torenvliet), Journal of Symbolic Logic , 71 , 2(2006), 501-528. ps file
  16. Degrees of unsolvability (with K. Ambos-Spies), to appear. pdf file


The 1991 Loebner Prize Competition (Dateline: Boston, November 8) (with W. Campbell), IEEE Expert, 6, 6(Dec. 1991), 47-48.