CS 452 - Automata and Formal Languages - Spring 2004
- Church, Alonzo, An unsolvable problem of elementary number
theory. Am. J. Math. 58 (1938) 345--363. AND Church, Alonzo,
A note on the Entscheidungsproblem. J. Symb. Log. 1 (1936) 40--41.
(To be presented by David Weissman + Tracy Grauman)
- Turing, Alan, On computable numbers, with an application to the
Entscheidungsproblem. P. London Math. Soc. (2) 42 (1936--7) 230--265.
(Hedberg + Kao + Renaud)
- Post, Emil, Finite combinatorial processes-- Formulation
I. J. Symb. Log. 1(1936) 103--105. (Berkovitch + Fishbein)
- Post, Emil [1941], "Absolutely unsolvable problems and relatively
undecidable propositions", reprinted in Davis [1965].
Davis, Martin, ed. The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions. Hewlett, NY, Raven Press (1965).
(VanDerWerf + Blake)
- Kalmar, Laszlo, An argument against the plausibility of Church's
Thesis. in A. Heyting, ed., Constructivity in Mathematics, pp. 72--80.
(Puwani + Abdel)
- Cleland, Carol [1993], "Is the Church-Turing thesis true?", Minds and
Machines 3, 283--312. (Ghanekar + Manprit)
- Mendelson, Elliott [1990], "Second thoughts about s thesis and
mathematical proofs", The Journal of Philosophy 87, 225--233.
(Jaslar + Epstein + Fickas)
- Stewart Shapiro, "Understanding Church's Thesis". Journal of Philosophical Logic 10 (1981), pp. 353--365. (Koppelman + Shoykhet)
- Janet Folina, "Church's Thesis: Prelude to a Proof". Philosophia Mathematica (3) Vol. 6 (1998), pp. 302--323.
- Valerie Hardcastle, "Computationalism". Synthese 105 (1996), pp. 303--317.
- Wilfrid Sieg, "Mechanical procedures and mathematical experience". in Alex George, ed. _Mathematics and Mind_. Oxford: Oxford U. Press, pp. 71--117.
- Stewart Shapiro, "Understanding CHurch's Thesis, again". Acta Analytica 11, 1993, pp. 59--77. (if you want this one, ask me for a copy since it's an impossible-to-find Croatian journal)