Abstract
We present an algorithm for finding a smallest Resolution refutation of any 2CNF in polynomial time.
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Alekhnovich, M., et al.: Minimum propositional proof length is NP-hard to linearly approximate. JSL: Journal of Symbolic Logic 66 (2001)
Aspvall, B., Plass, M.F., Tarjan, R.E.: A linear-time algorithm for testing the truth of certain quantified boolean formulas. Information Processing Letters 8(3), 121–123 (1979)
Buresh-Oppenheim, J., Mitchell, D.: Minimum Witnesses for Unsatisfiable 2CNFs. In: Biere, A., Gomes, C.P. (eds.) SAT 2006. LNCS, vol. 4121, pp. 42–47. Springer, Heidelberg (2006)
Cook, S.A.: The complexity of theorem proving procedures. In: Proc. 3rd Ann. ACM Symp. on Theory of Computing, pp. 151–158. ACM Press, New York (1971)
del Val, A.: On 2-SAT and Renamable Horn. In: AAAI’2000, Proc. 17th (U.S.) National Conference on Artificial Intelligence, MIT Press, Cambridge (2000)
Even, S., Itai, A., Shamir, A.: On the complexity of timetable and multicommodity flow problems. SIAM Journal on Computing 5(4) (1976)
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Buresh-Oppenheim, J., Mitchell, D. (2007). Minimum 2CNF Resolution Refutations in Polynomial Time. In: Marques-Silva, J., Sakallah, K.A. (eds) Theory and Applications of Satisfiability Testing – SAT 2007. SAT 2007. Lecture Notes in Computer Science, vol 4501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72788-0_29
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DOI: https://doi.org/10.1007/978-3-540-72788-0_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72787-3
Online ISBN: 978-3-540-72788-0
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