The superposition calculus is a calculus for reasoning in equational first-order logic. It has been developed in the early 1990s and combines… (More)

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2015

2015

- Mnacho Echenim, Nicolas Peltier
- Journal of Automated Reasoning
- 2015

We present a modification of the Superposition Calculus that is meant to generate consequences of sets of first-order axioms… (More)

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2014

2014

- Hicham Bensaid, Nicolas Peltier
- Journal of Automated Reasoning
- 2014

The superposition calculus (Bachmair and Ganzinger, J. Log Comput. 3(4), 217–247, 1994; Nieuwenhuis and Rubio 1994) is the state… (More)

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2012

2012

- Arnaud Fietzke, Christoph Weidenbach
- Mathematics in Computer Science
- 2012

The success of superposition-based theorem proving in first-order logic relies in particular on the fact that the superposition… (More)

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2011

2011

Program analysis and verification tools crucially depend on the ability to symbolically describe and reason about sets of program… (More)

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2010

2010

- Peter Baumgartner, Uwe Waldmann
- Journal of Automated Reasoning
- 2010

We present a new calculus for first-order theorem proving with equality, $ \mathcal{ME}+$ Sup, which generalizes both the… (More)

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2009

2009

- Peter Baumgartner, Uwe Waldmann
- CADE
- 2009

We present a new calculus for first-order theorem proving with equality, ME+Sup, which generalizes both the Superposition… (More)

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2008

2008

- Matthias Horbach, Christoph Weidenbach
- CSL
- 2008

Superposition is an established decision procedure for a variety of first-order logic theories represented by sets of clauses. A… (More)

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2007

2007

- Konstantin Korovin, Andrei Voronkov
- CSL
- 2007

We present a method of integrating linear rational arithmetic into superposition calculus for first-order logic. One of our main… (More)

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2005

2005

Many domains of reasoning include a set of distinct objects. For general-purpose automated theorem provers, this property has to… (More)

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1996

1996

- Jürgen Stuber
- RTA
- 1996

We deene a superposition calculus specialized for abelian groups represented as integer modules, and show its refutational… (More)

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