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- Gilles Dowek, Thérèse Hardin, Claude Kirchner
- Journal of Automated Reasoning
- 2003

Deduction modulo is a way to remove computational arguments from proofs by reasoning modulo a congruence on propositions. Such a technique, issued from automated theorem proving, is of general… (More)

- Peter Borovanský, Claude Kirchner, Hélène Kirchner, Pierre-Etienne Moreau, Christophe Ringeissen
- Electr. Notes Theor. Comput. Sci.
- 1998

This paper presents a comprehensive introduction to the ELAN rule-based programming language. We describe the main features of the language, the ELAN environment, and introduce bibliographic… (More)

- Peter Borovanský, Claude Kirchner, Hélène Kirchner, Pierre-Etienne Moreau
- Theor. Comput. Sci.
- 2002

ELAN implements computational systems, a concept that combines two first class entities: rewrite rules and rewriting strategies. ELAN can be used either as a logical framework or to describe and… (More)

- Gilles Dowek, Thérèse Hardin, Claude Kirchner
- Inf. Comput.
- 2000

Higher-order uni cation is equational uni cation for -conversion. But it is not rst-order equational uni cation, as substitution has to avoid capture. Thus the methods for equational uni cation (such… (More)

- Horatiu Cirstea, Claude Kirchner
- Logic Journal of the IGPL
- 2001

The ρ-calculus integrates in a uniform and simple setting first-order rewriting, λ-calculus and nondeterministic computations. Its abstraction mechanism is based on the rewrite rule formation and its… (More)

- Peter Borovanský, Claude Kirchner, Hélène Kirchner, Pierre-Etienne Moreau, Marian Vittek
- Electr. Notes Theor. Comput. Sci.
- 1996

ELAN implements computational systems a concept that combines rewriting logic with the powerful description of rewriting strategies ELAN can be used either as a logical framework or to describe and… (More)

- Peter Borovanský, Claude Kirchner, Hélène Kirchner, Christophe Ringeissen
- Int. J. Found. Comput. Sci.
- 2001

In this work, we consider term rewriting from a functional point of view. A rewrite rule is a function that can be applied to a term using an explicit application function. From this starting point,… (More)

- Paul Brauner, Clément Houtmann, Claude Kirchner
- 22nd Annual IEEE Symposium on Logic in Computer…
- 2007

In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in the theory in a… (More)

- Gilles Dowek, Thérèse Hardin, Claude Kirchner
- Mathematical Structures in Computer Science
- 2001

G I L L E S D O W E K and T H E R E S E H A R D I N and C L A U D E K I R C H N E R 1 INRIA-Rocquencourt, B.P. 105, 78153 Le Chesnay Cedex, France Gilles.Dowek@inria.fr, http://coq.inria.fr/~dowek 2… (More)