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Dolph Ulrich

Dolph E. Ulrich


Professor Emeritus

PhD, Wayne State University


Curriculum Vitae
Office: BRNG 7132
Office Phone: (765) 494-4292
E-mail: dulrich@purdue.edu
Web Site: http://web.ics.purdue.edu/~dulrich

Specialization:

Logic, Metalogic



Selected Publications

Articles

  • “D-complete axioms for the classical equivalential calculus,” Bulletin of the Section of Logic(University of Lódz) 31 (2005): 135-142.
  • “XCB, the last of the shortest single axioms for the equivalential calculus” (with Larry Wos and Branden Fitelson), Bulletin of the Section of Logic(University of Lódz) 29 (2003): 131-136.
  • “A legacy recalled and a tradition continued,” Journal of Automated Reasoning 27 (2001): 97-122.
  • “The shortest possible length of the longest implicational axiom,” Journal of Philosoph­ical Logic 25 (1996): 101-108.
  • “On the characterization of sentential calculi by finite matrices,” Reports on Mathe­ma­tical Logic 20 (1986): 63-86.
  • “A descending chain of incomplete extensions of implicational S5,” Zeitschrift für mathema­tische Logik und Grundlagen der Mathematik 31 (1985): 201-208.
  • “The finite model property and recursive bounds on the size of countermodels,” Journal of  Philosophical Logic 12 (1983): 477-480.
  • “Strict implication in a sequence of extensions of S4,” Zeitschrift für mathematische Logik und Grundlagen der Mathematik 27 (1981): 201-212.

  • "Some results concerning finite models for sentential calculi," Notre Dame Journal of Formal Logic 13 (1972): 363-368.

Text book

  • Elementary Symbolic Logic (with William Gustason), 2nd ed. Waveland Press: Prospect Heights, 1989.

Work in Progress

  • Several articles on new single axioms for various sentential calculi.
  • An article introducing the new two-base {Cpp, CCCpqrCCCqstCCtqr} for classical implication to answer an open question first posed by Prior half a century ago.