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The Complexity of Automated Reasoning (1989)  (Make Corrections)  (6 citations)
André Vellino



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Abstract: This thesis explores the relative complexity of proofs produced by the automatic theorem proving procedures of analytic tableaux, linear resolution, the connection method, tree resolution and the Davis-Putnam procedure. It is shown that tree resolution simulates the improved tableau procedure and that SL-resolution and the connection method are equivalent to restrictions of the improved tableau method. The theorem by Tseitin that the Davis-Putnam Procedure cannot be simulated by tree resolution ... (Update)

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.... ran the tests with the Davis Putnam procedure (DP) Davis and Putnam 1960) The DP procedure DP is in essence a resolution procedure (Vellino 1989). It performs a backtracking search in the space of all truth assignments, incrementally assigning values to formulas GSAT DP vars...

.... for solving satisfiability problems is the DavisPutnam procedure [Davis and Putnam, 1960] which is in essence a resolution method [Vellino, 1989]. This algorithm incrementally builds up a truth assignment and backtracks when it determines the assignment does not satisfy the...

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BibTeX entry:   (Update)

Vellino, A. (1989). The complexity of automated reasoning. http://citeseer.ist.psu.edu/vellino89complexity.html   More

@phdthesis{ vellino89complexity,
    author = "A. Vellino",
    title = "{The Complexity of Automated Reasoning}",
    year = "1989",
    url = "citeseer.ist.psu.edu/vellino89complexity.html" }
Citations (may not include all citations):
1838   Foundations of Logic Programming (context) - Lloyd - 1987
537   Graph Theory with Applications (context) - Bondy, Murty - 1976
534   The Complexity of Theorem Proving Procedures (context) - Cook
309   Symbolic Logic and Mechanical Theorem Proving (context) - Chang, Lee - 1973
259   Elements of the Theory of Computation (context) - Lewis, Papadimitriou - 1981
200   Introduction to Mathematical Logic (context) - Mendelson - 1964
142   Automated Theorem Proving (context) - Bibel - 1982
127   The Relative Efficiency of Propositional Proof Systems (context) - Cook, Reckhow - 1979
124   The Art of Computer Programming Vol (context) - Knuth - 1968
121   Hard Examples for Resolution (context) - Urquhart - 1987
107   Algorithmic Graph Theory (context) - Gibbons - 1985
72   Many Hard Examples for Resolution (context) - Chvatal, Szemeredi - 1988
52   The Intractability of Resolution (context) - Haken - 1985
48   Polynomial Size Proofs of the Propositional Pigeonhole Princ.. (context) - Buss - 1987
47   the Lengths of Proofs in the Propositional Calculus (context) - Reckhow - 1975
47   the Length of Proofs in the Propositional Calculus (context) - Cook, Reckhow - 1974
42   A proof procedure using connection graphs (context) - Kowalski - 1975
20   Computers and Intractability (context) - Garey, Johnson - 1979
20   Locking: a Restriction of Resolution (context) - Boyer - 1971
9   the Complexity of the Satisfiability Problem (context) - Goldberg - 1979
7   A proof procedure with matrix reduction (context) - Prawitz - 1970
6   Refutation Graphs (context) - Shostak - 1976
5   Resolution with Merging (context) - Andrews - 1968
5   Automation of Reasoning (context) - Siekmann, Wrightson - 1983
3   A Comparative Study of Several Proof Procedures (context) - Bibel - 1983
1   Topics in the Complexity of Combinatorial Algorithms (context) - Kirkpatric - 1974
1   A Prolog Implementation of an Analytic Tableau Theorem Prove.. (context) - Vellino - 1989
1   A DNF Without Regular Shortest Consensus Path (context) - Wenqi, Xiangdong - 1985
1   First Order Logic Springer-Verlag (context) - Smullyan - 1968
1   the Complexity of Regular Resolution and the DavisPutnam Pro.. (context) - Galil - 1977
1   The Complexity of Resolution Procedures for Theorem Proving .. (context) - Galil - 1975



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