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Theorem Proving Modulo Revised Version Gilles Dowek, Th´ er` ese Hardin, Claude Kirchner To cite this version: Gilles Dowek, Th´ er` ese Hardin, Claude Kirchner. Theorem Proving Modulo Revised Version. [Research Report] RR-4861, INRIA. 2003, pp.54. <inria-00071722> HAL Id: inria-00071722 https://hal.inria.fr/inria-00071722 Submitted on 23 May 2006 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destin´ ee au d´ epˆ ot et ` a la diffusion de documents scientifiques de niveau recherche, publi´ es ou non, ´ emanant des ´ etablissements d’enseignement et de recherche fran¸cais ou ´ etrangers, des laboratoires publics ou priv´ es.
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Page 1: Theorem Proving Modulo Revised Version · enti c research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or

Theorem Proving Modulo Revised Version

Gilles Dowek, Therese Hardin, Claude Kirchner

To cite this version:

Gilles Dowek, Therese Hardin, Claude Kirchner. Theorem Proving Modulo Revised Version.[Research Report] RR-4861, INRIA. 2003, pp.54. <inria-00071722>

HAL Id: inria-00071722

https://hal.inria.fr/inria-00071722

Submitted on 23 May 2006

HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, estdestinee au depot et a la diffusion de documentsscientifiques de niveau recherche, publies ou non,emanant des etablissements d’enseignement et derecherche francais ou etrangers, des laboratoirespublics ou prives.

Page 2: Theorem Proving Modulo Revised Version · enti c research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or

ISS

N 0

249-

6399

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RIA

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FR

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INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Theorem Proving ModuloRevised Version

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Page 3: Theorem Proving Modulo Revised Version · enti c research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or
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Page 57: Theorem Proving Modulo Revised Version · enti c research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or

� ����� �

� \����������� R � ^�� � j `� ^�� � � � kFe�f$ace�a�� R ` R agj \���Z � f ��� f R ` �� ^�� � � � kFe�f$ace�a�� R ` R agj \���m8nco�� r \����� @ BC � K \����J *,+-. \������� �/a�� � ` R acj \����Z � f ��� f R ` � � \��Z � ��� f � � f R ` � � \!���Z ��� f � � f R ` � � \"�^�`$agb R # e6f$age�a�� R ` R acj \��$�^�`$agb R # e6f$age�a�� R ` R acj!� \�%^�& R agb

# agb e�^>` R �!� � \�����'(� ^�` R agj=^�� \!)# � ^��*� f � � f R ` � �,+-� ` � b \.%

# agb e�^>` R �!� � \����# � ^ � �$^�� T acf$b/� \����# � ^ � � � \����

# agj!� `/f ^ R j � k \��0� b e�`1+ \!�'23 �54 � a�f k � f R j!6 \����# agb7� R j�^>`$acf*+ f � k � # ` R agj8�,+-� ` � b/� \.%# agb e=^�` R �!� � \��.�# agj-� ` ^cj `9� \"%# agj-� `/f ^ R j � k # � ^ � � � \����k � k � # ` R agj[b a k � � a \!:k�agb ^ R j \!%� b e�`;+ # � ^ � � � \������� ^�` R acj \������� ^�` R acj<�,+�� ` � b \������� ^�` R acj�^���^�& R agb \.%��� ^�` R acj�^��-f � �/a�� � ` R agj \!���� ^�` R acj�^�� � j R>=.# ^>` R acj \-�� & ` � j�k � k

j=^�f/f$a � R j!6 \��?f � �/a�� � ` R agj \��'?@A& ` � j=k � kCB k � j ` RD# ^���E � �/a�� � ` R agj \���%�FG���

@A& ` � j=k � kCH ^>f/f$a � R j-6CILj=kJE � �/a�� � ` R acj \�K@A& ` � j=k � kCH ^>f/f$a � R j-6 ^cj=k8E � �/a�� � ` R acj \�:T a�f$b

# � ^ � �$^�� \��'2T f � �*L � ^>f R ^�j ` \��(�� ^�� � � \��(M� ^�� � � � kFe6f$age�a�� R ` R acj \��(M� R ` � f ^�� \����b a k � �Ne�agj � j!� \���Nj�^>f/f$a � R j-6��^�� R # \��?

# agj-� `/f ^ R j ` \��'?� & ` � j�k � k \"�'?a #'# � f/f � j # � \"%acf k � f R j!63 �54 \��O0e�f$ace�a�� R ` R agj^�`$agb R # \��'2� ^�� � � � k \���e�f$ace�a�� R ` R agjFf � � f R ` � f � � � \.%e�f$ace�a�� R ` R agj!� \"%f � j�^�b R j!6 \����f � �/a�� � ` R acj� & ` � j�k � k \"�'?f � � f R ` � f � � �

e�f$age�a�� R ` R acj \.)` � f$b \-)� � j ` � j # � � \"%� ���!� j ` # ^�� # � � � �Lb a k � � a \��(P� � �-� ` R ` � ` �� ^�� � � � kFe6f$age�a�� R ` R agj \��'�` � f$b f � � f R ` � f � � � \.%` � f$b/� \!%`9L � a�f*+ f � �/a�� � ` R acj \.�`/f ^cj-� T acf$b ^>` R agj \.N.�� ^>f R ^cj `

T f � �*L \��0

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Page 58: Theorem Proving Modulo Revised Version · enti c research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or

Unit e de recherche INRIA Lorraine, Technopole de Nancy-Brabois, Campus scientifique,615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES NANCY

Unit e de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES CedexUnit e de recherche INRIA Rhone-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST MARTIN

Unit e de recherche INRIA Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY CedexUnit e de recherche INRIA Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex

EditeurINRIA, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France)��������� ���� �� ����� � � � ���

ISSN 0249-6399


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