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Abstract: Theory resolution constitutes a set of complete procedures for incorporating theories into a resolution theorem-proving program, thereby making it unnecessary to resolve directly upon axioms of the theory. This can greatly reduce the length of proofs and the size of the search space. Theory resolution effects a beneficial division of labor, improving the performance of the theorem prover and increasing the applicability of the specialized reasoning procedures. Total theory resolution utilizes a ... (Update)
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22: A machine-oriented logic based on the resolution principle (context) - Robinson - 1965
20: Symbolic Logic and Mechanical Theorem Proving (context) - Chang, Lee - 1973
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BibTeX entry: (Update)
Stickel, M.E.: 1985, Automated deduction by theory resolution. Journal of Automated Reasoning, 1:333--356. http://citeseer.ist.psu.edu/stickel85automated.html More
@inproceedings{ stickel85automated,
author = "Mark J. Stickel",
title = "Automated Deduction by Theory Resolution",
booktitle = "{IJCAI} 85, Proceedings of the Ninth International Joint Conference on Artificial Intelligence",
publisher = "Morgan Kaufmann",
address = "Los Altos, California",
editor = "Arivind Joshi",
pages = "455--458",
year = "1985",
url = "citeseer.ist.psu.edu/stickel85automated.html" }
Citations (may not include all citations):1044 Maintaining knowledge about temporal intervals (context) - Allen - 1983
410 Principles of Artificial Intelligence (context) - Nilsson - 1980
309 Symbolic Logic and Mechanical Theorem Proving (context) - Chang, Lee - 1973
186 Automated Theorem Proving: A Logical Basis (context) - Loveland - 1978
154 Simplification by cooperating decision procedures (context) - Nelson, Oppen - 1979
142 Automated Theorem Proving (context) - Bibel - 1982
121 Deciding combinations of theories (context) - Shostak - 1984
114 Building-in equational theories (context) - Plotkin - 1972
73 Theorem proving via general matings (context) - Andrews - 1981
71 Krypton: a functional approach to knowledge representation (context) - Brachman, Fikes et al. - 1983
43 A many-sorted calculus based on resolution and paramodulatio.. (context) - Walther - 1983
26 resolution: extension of resolution to include the equality .. (context) - Morris - 1969
26 A linear format for resolution with merging and a new techni.. (context) - Anderson, Bledsoe - 1970
24 Variable elimination and chaining in a resolution-based prov.. (context) - Bledsoe, Hines - 1980
17 A mechanical solution of Schubert's steamroller by many-sort.. (context) - Walther - 1984
17 Competence in knowledge representation (context) - Brachman, Levesque - 1982
16 The linked inference principle (context) - Wos, Veroff et al. - 1984
15 Universal unification (context) - Siekmann - 1984
14 A Deduction Model of Belief and Its Logics (context) - Konolige - 1984
13 Special relations in automated deduction (context) - Manna, Waldinger
10 Automated Reasoning (context) - Wos, Overbeek et al. - 1984
7 resolution: theorem-proving with compiled axioms (context) - Dixon - 1973
7 Resolution by unification and equality (context) - Digricoli - 1979
6 Theory resolution: building in nonequational theories (context) - Stickel - 1983
6 Knowledge representation languages and predicate calculus: h.. (context) - Rich - 1982
4 Unification in many-sorted theories (context) - Walther - 1984
3 Another generalization of resolution (context) - Harrison, Rubin - 1978
3 A nonclausal connection-graph resolution theorem-proving pro.. (context) - Stickel - 1982
3 Special issue on knowledge representation (context) - Brachman, Smith - 1980
2 A portable environment for research in automated reasoning (context) - Lusk, Overbeek - 1984
2 Improving the expressiveness of many sorted logic (context) - Cohn - 1983
2 A note concerning the axiomatization of Schubert's steamroll.. (context) - Cohn - 1984
2 An approach to acquiring and applying knowledge (context) - Haas, Hendrix - 1980
1 Mechanizing a Particularly Expressive Many Sorted Logic (context) - Cohn - 1983
1 The interaction between assertional and terminological knowl.. (context) - Pigman - 1984
1 Experiments with an automatic theorem-prover having partial .. (context) - Slagle, Norton - 1973
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.ai.sri.com/~stickel/): More
Interpretation as Abduction - Hobbs, Stickel, Appelt, Martin (1990) (Correct)
Ordered Binary Decision Diagrams and the Davis-Putnam Procedure - Uribe, Stickel (1994) (Correct)
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