Abstract
We try to help Paul and Pinocchio to deserve their trip to Venice where they are planning to continue a 50-year long competition in the 20 question game with lies.
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References
Ahlswede, R., Cicalese, F., Deppe, C., Vaccaro, U.: Two Batch Search with Lie Cost. IEEE Transaction on Information Theory 55(4), 1433–1439 (2009)
Aslam, J., Dhagat, A.: Searching in the presence of linearly bounded errors. In: Proc. of 23rd STOC, pp. 486–493 (1991)
Berlekamp, E.R.: Block coding for the binary symmetric channel with noiseless, delayless feedback. In: Mann, H.B. (ed.) Error-Correcting Codes, pp. 61–68. Wiley, New York (1968)
Cicalese, F., Mundici, D.: Perfect 2-fault tolerant search with minimum adaptiveness. Advances in Applied Mathemathics 25, 65–101 (2000)
Cicalese, F., Mundici, D., Vaccaro, U.: Rota-Metropolis cubic logic and Ulam-Rényi games. In: Crapo, H., Senato, D. (eds.) Algebraic Combinatorics and Computer Science—A Tribute to Giancarlo Rota, pp. 197–244. Springer Italia (2001)
Cicalese, F., Mundici, D., Vaccaro, U.: Least Adaptive Optimal Search with Unreliable Tests. Theoretical Computer Science 270(1-2), 877–893 (2001)
Cicalese, F., Deppe, C.: Quasi-Perfect Minimally Adaptive q-ary Search with Unreliable Tests. In: Ibaraki, T., Katoh, N., Ono, H. (eds.) ISAAC 2003. LNCS, vol. 2906, pp. 527–536. Springer, Heidelberg (2003)
Cicalese, F., Gargano, L., Vaccaro, U.: On searching strategies, parallel questions, and delayed answers. Discrete Applied Mathematics 144, 247–262 (2004)
Cicalese, F., Mundici, D.: Recent Developments of Feedback Coding and Its Relations with Many-Valued Logic. In: van Benthem, J., et al. (eds.) Proof, Computation and Agency, vol. 352(3), pp. 115–131. Springer–Verlag Synthese Library (2011)
Deppe, C.: Coding with feedback and searching with lies. In: Entropy, Search, Complexity. Bolyai Society Mathematical Studies, vol. 16, pp. 27–70 (2007)
Dhagat, A., G’acs, P., Winkler, P.: On Playing “Twenty Questions” with a liar. In: Proc. of 3rd SODA, pp. 16–22 (1992)
Mundici, D., Trombetta, A.: Optimal comparison strategies in Ulam’s searching game with two errors. Theoretical Computer Science 182, 217–232 (1997)
Pedrotti, A.: Playing by searching: two strategies against a linearly bounded liar. Theoretical Computer Science 282, 285–302 (2002)
Pelc, A.: Searching games with errors—Fifty years of coping with liars. Theoretical Computer Science 270(1-2), 71–109 (2002)
Pelc, A.: Coding with bounded error fraction. Ars. Combinat. 24, 17–22 (1987)
Rényi, A.: On a problem of information theory. MTA Mat. Kut. Int. Kozl. 6B, 505–516 (1961)
Rivest, R.L., Meyer, A.R., Kleitman, D.J., Winklmann, K., Spencer, J.: Coping with errors in binary search procedures. JCSS 20, 396–404 (1980)
Sereno, M.: Binary search with errors and variable cost queries. Information Processing Letters 68(5), 261–270 (1998)
Spencer, J., Winkler, P.: Three thresholds for a liar. Combinatorics, Probability and Computing 1, 81–93 (1992)
Spencer, J.: Guess a number with Lying. Math. Magazine 57, 105–108 (1984)
Spencer, J.: Ulam’s searching game with a fixed number of lies. Theoretical Computer Science 95, 307–321 (1992)
Ulam, S.M.: Adventures of a Mathematician. Scribner’s, New York (1976)
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Cicalese, F. (2012). The Multi-interval Ulam-Rényi Game. In: Kranakis, E., Krizanc, D., Luccio, F. (eds) Fun with Algorithms. FUN 2012. Lecture Notes in Computer Science, vol 7288. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30347-0_10
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