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Superposition calculus
Known as:
Superposition
The superposition calculus is a calculus for reasoning in equational first-order logic. It has been developed in the early 1990s and combines…
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Related topics
Related topics
9 relations
Automated theorem proving
E theorem prover
First-order logic
Formal system
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Papers overview
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2018
2018
Refutation of Translation Invariance in Superposition Calculus
C. James
2018
Corpus ID: 125470159
In superposition calculus, the property of translation invariance for A < B → XAY < XBY for all words A,B,X,Y as TCTT TCTT TCTT…
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2015
2015
Encoding TLA+ set theory into many-sorted first-order logic
Stephan Merz
,
Hernán Vanzetto
arXiv.org
2015
Corpus ID: 3044586
We present an encoding of Zermelo-Fraenkel set theory into many-sorted first-order logic, the input language of state-of-the-art…
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2013
2013
An Approach to Abductive Reasoning in Equational Logic
M. Echenim
,
N. Peltier
,
Sophie Tourret
International Joint Conference on Artificial…
2013
Corpus ID: 1363312
Abduction has been extensively studied in propositional logic because of its many applications in artificial intelligence…
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2012
2012
A Calculus for Generating Ground Explanations
M. Echenim
,
N. Peltier
International Joint Conference on Automated…
2012
Corpus ID: 5962672
We present a modification of the superposition calculus that is meant to generate explanations why a set of clauses is…
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2012
2012
Superposition as a Decision Procedure for Timed Automata
Arnaud Fietzke
,
Christoph Weidenbach
Mathematics and Computer Science
2012
Corpus ID: 44726566
The success of superposition-based theorem proving in first-order logic relies in particular on the fact that the superposition…
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2012
2012
Superposition Decides the First-Order Logic Fragment Over Ground Theories
E. Kruglov
,
Christoph Weidenbach
Mathematics and Computer Science
2012
Corpus ID: 8625189
The hierarchic superposition calculus over a theory T, called SUP(T), enables sound reasoning on the hierarchic combination of a…
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2010
2010
Labelled Unit Superposition Calculi for Instantiation-Based Reasoning
Konstantin Korovin
,
Christoph Sticksel
Logic Programming and Automated Reasoning
2010
Corpus ID: 5567366
The Inst-Gen-Eq method is an instantiation-based calculus which is complete for first-order clause logic modulo equality. Its…
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2008
2008
A Resolution-Based Decision Procedure for $\boldsymbol{\mathcal{SHOIQ}}$
Yevgeny Kazakov
,
B. Motik
Journal of automated reasoning
2008
Corpus ID: 38671659
2007
2007
1 Completeness of Resolution and Superposition Calculi
Rolf Socher-Ambrosius
2007
Corpus ID: 384866
We modify Bezem’s [Be] completeness proof for ground resolution in order to deal with ordered resolution, redundancy, and…
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2007
2007
Generic theorem proving for decision procedures (Technical Report RR 41/2006)
M. P. Bonacina
,
M. Echenim
2007
Corpus ID: 14254609
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