65 0 obj << /S /GoTo /D [114 0 R /Fit] >> endobj 122 0 obj << /Type /Annot /Border[0 0 0]/H/I/C[1 0 0] /Subtype /Link 148 0 obj << ����Q=��� �3 endobj /Border[0 0 0]/H/I/C[1 0 0] /A << /S /GoTo /D (subsection.4.10) >> /Type /Annot 155 0 obj << (Negation) (Disjunction) /Filter /FlateDecode /A << /S /GoTo /D (subsection.4.6) >> endobj bĺ���^�LǺ�w�M��fY�كۛ���_�Jb�_I�DJ7E*_J�ۚ����l��'7���L�y�����h� �����$�T�ˎ#���8E\�|�����lFdq(�ǫ�w6W���wׯ�Dg��p�^�����x������C�YV#=���l�&�,��C�ZXy�����ƭzˬ��]M�;n=�9��=��4�ɜ/���`��箧x�2B�`����cbc�3�Ù�J�7�>)���Lʹ�N���#���6�O�γ�3Z�J�Ñ�����tN�8F���C�iuH$��q3�1�0t�D�06�3st? 100 0 obj /Type /Annot 5. >> endobj /Rect [466.521 276.062 478.476 284.475] 69 0 obj 3 0 obj << /Subtype /Link >> endobj 29 0 obj /Subtype /Link 104 0 obj /Type /Annot >> endobj 5 0 obj << /S /GoTo /D (subsection.5.4) >> 149 0 obj << (Identity) << /S /GoTo /D (subsection.5.8) >> /Rect [466.521 323.883 478.476 332.295] �6a��(��6���Oр��d��3�-���(�M���ɮ+�ʡ~��uE
�Bz캢@�캢� �T��]ю�C[���3������o%캢{x1���uE��w�躢ML��|��㮨��� .1B�$D�������_��v< >> /A << /S /GoTo /D (section.1) >> endobj 49 0 obj /Rect [470.755 453.397 478.476 461.81] << /S /GoTo /D (subsection.4.2) >> /MediaBox [0 0 612 792] /Subtype /Link 36 0 obj /A << /S /GoTo /D (subsection.5.7) >> /Border[0 0 0]/H/I/C[1 0 0] >> endobj /Font << /F15 175 0 R /F16 176 0 R /F35 178 0 R /F36 179 0 R /F8 180 0 R >> /Type /Annot >> endobj << /S /GoTo /D (subsection.4.10) >> << /S /GoTo /D (section.5) >> /Subtype /Link 156 0 obj << /A << /S /GoTo /D (subsection.5.1) >> 52 0 obj �t�B�)Ӆ�4��o��(nT 160 0 obj << /Border[0 0 0]/H/I/C[1 0 0] endobj /Subtype /Link 5. /A << /S /GoTo /D (subsection.3.2) >> /Rect [147.716 216.341 222.159 227.19] /Type /Annot /Type /Annot /Type /Annot >> endobj /A << /S /GoTo /D (section.1) >> 135 0 obj << P��I�%P^WT�`d��xM�6�9l:���*�y-&=O�&��!�|�!õL N��cO(�Y�&� ��_
��ܥ��n&߀p�R^O̙��=�q�ȕ@�gA[aT�ܙ��J 8j���Bq)���t���i�&(i&ѵ���R�����B�s�N��a5����](�/�K&}A��h&�}�z�4��VV��qa��3�=i0������D� 167 0 obj << /Rect [466.521 170.458 478.476 178.871] /Type /Annot 81 0 obj << /S /GoTo /D (subsection.5.2) >> /Filter /FlateDecode >> endobj endobj /Length 2812 5. >> endobj >> 12 0 obj /A << /S /GoTo /D (subsection.4.6) >> /Rect [147.716 335.838 230.6 344.749] >> endobj /Type /Annot /Type /Annot /Type /Annot /Rect [466.52 242.189 478.476 250.602] /Border[0 0 0]/H/I/C[1 0 0] 68 0 obj /A << /S /GoTo /D (subsection.4.2) >> %���� '*���a�`L�{��-S�0?8�É���iy�`����\��mKh���B'e�Z{�;А �A�D��ņ?Y /Border[0 0 0]/H/I/C[1 0 0] 76 0 obj 147 0 obj << 133 0 obj << /Rect [466.521 288.017 478.476 296.43] /Rect [132.772 473.378 238.771 484.226] 12 An interesting one. /A << /S /GoTo /D (subsection.4.8) >> /Border[0 0 0]/H/I/C[1 0 0] /A << /S /GoTo /D (subsection.4.5) >> /Type /Annot /A << /S /GoTo /D (subsection.5.5) >> /Subtype /Link 161 0 obj << endobj >> endobj /A << /S /GoTo /D (subsection.3.3) >> /Subtype /Link a Natural Deduction proof; there are also worked examples explaining in more detail the proof strategies for some connectives, as well as some questions about Natural Deduction which are more unusual. endobj >> endobj << /S /GoTo /D (subsection.5.9) >> Exercises to 1.8 Natural deduction. endobj << /S /GoTo /D (subsection.4.5) >> 32 0 obj endobj 8 0 obj endobj /Rect [147.716 369.766 226.034 380.504] /Rect [147.716 439.505 222.159 450.353] /Rect [470.755 475.315 478.476 483.728] 92 0 obj /Subtype /Link 170 0 obj << 173 0 obj << /A << /S /GoTo /D (subsection.5.8) >> >> endobj /Type /Annot 4 Using iteration. /Border[0 0 0]/H/I/C[1 0 0] endobj /Subtype /Link 150 0 obj << >> endobj 143 0 obj << /Filter /FlateDecode endobj << /S /GoTo /D (section.3) >> endobj /Border[0 0 0]/H/I/C[1 0 0] /Subtype /Link /Subtype /Link /Subtype /Link >> endobj 5. 25 0 obj >> endobj /A << /S /GoTo /D (section.4) >> /Subtype /Link << /S /GoTo /D (subsection.5.7) >> endobj /Border[0 0 0]/H/I/C[1 0 0] -�oW���J8�����Yl%��h�5N�N���5i����m�|?�w��(!�_HB�QXH��!��aK�B!�@d�$���?�Iï�|��c�qH+��4A0"�/! endobj /Border[0 0 0]/H/I/C[1 0 0] (Worked examples) endobj 5. endobj >> endobj /A << /S /GoTo /D (subsection.5.3) >> >> endobj /Type /Annot /Rect [466.521 335.838 478.476 344.251] /Border[0 0 0]/H/I/C[1 0 0] (Practice problems) 169 0 obj << endobj /A << /S /GoTo /D (section.3) >> >> endobj 125 0 obj << 154 0 obj << *�ǭ�-or �?WƓ`7��6�8�e��h���:K$ ��>�� /Subtype /Link /A << /S /GoTo /D (subsection.5.1) >> /Type /Annot /Subtype /Link 5. /Rect [132.772 393.676 240.397 404.525] /Border[0 0 0]/H/I/C[1 0 0] 116 0 obj << stream /A << /S /GoTo /D (subsection.4.8) >> /Border[0 0 0]/H/I/C[1 0 0] endobj /Type /Page >> endobj >> endobj /A << /S /GoTo /D (subsection.4.4) >> /Rect [147.716 286.08 206.939 296.928] /Border[0 0 0]/H/I/C[1 0 0] (Universal quantifier) /Border[0 0 0]/H/I/C[1 0 0] /Subtype /Link 5. /Subtype /Link /A << /S /GoTo /D (subsection.5.4) >> endobj stream 5. 44 0 obj Exercices de déduction naturelle en logique propositionnelle Exo 1 Pour chaque séquent ci-dessous, s'il vous paraît sémantiquement correct, proposez une preuve en déduction naturelle à l'aide de FitchJS puis transcrivez la dans ce format (exemples). /Type /Annot /Border[0 0 0]/H/I/C[1 0 0] /Rect [147.716 383.658 193.129 392.459] /Border[0 0 0]/H/I/C[1 0 0] << /S /GoTo /D (subsection.5.10) >> >> endobj /D [114 0 R /XYZ 133.768 667.198 null] /Rect [147.716 427.549 258.246 438.398] /Subtype /Link /Subtype /Link /Type /Annot >> endobj 117 0 obj << /Type /Annot endobj /Border[0 0 0]/H/I/C[1 0 0] /Rect [147.716 309.99 258.246 320.838] << /S /GoTo /D (subsection.3.1) >> 152 0 obj << (Conjunction) << /S /GoTo /D (subsection.4.3) >> /Border[0 0 0]/H/I/C[1 0 0] endobj << /S /GoTo /D (section.1) >> endobj /Type /Annot /Border[0 0 0]/H/I/C[1 0 0] 48 0 obj >> endobj 45 0 obj /Rect [132.772 254.144 195.6 263.055] /Subtype /Link >> endobj /Type /Annot /Type /Annot (Implication) 134 0 obj << /Type /Annot << /S /GoTo /D (subsection.4.1) >> /A << /S /GoTo /D (subsection.4.9) >> endobj /A << /S /GoTo /D (section.5) >> /Length 1194 /Subtype /Link /Subtype /Link /Type /Annot /Border[0 0 0]/H/I/C[1 0 0] /Subtype /Link /Rect [461.539 134.592 478.476 143.005] /Border[0 0 0]/H/I/C[1 0 0] /Subtype /Link /Rect [466.521 230.234 478.476 238.647] >> endobj 177 0 obj << /Subtype /Link /Subtype /Link << /S /GoTo /D (subsection.5.3) >> >> endobj /Subtype /Link 72 0 obj /Rect [147.716 156.566 264.169 167.414] 8 One to think. /A << /S /GoTo /D (subsection.5.6) >> >> endobj /Rect [147.716 415.594 264.169 426.442] >> endobj /Border[0 0 0]/H/I/C[1 0 0] 114 0 obj << /Subtype /Link ��G�8�d������CkZ,U�~J��@��'���f�h��-������萤�� �a¿�p_1�ہ���@X� /Type /Annot endobj /A << /S /GoTo /D (subsection.4.9) >> (Implication) /A << /S /GoTo /D (subsection.5.8) >> �/7t��|���iq甦�N�����UD`"��JD8�o�VtZ\ۇ�N#�M�7e�J�\{��I��xC��s}-���OF%�Uج�2 �4 5. << /S /GoTo /D (subsection.5.6) >> 5. /Type /Annot /Type /Annot (Biconditional) endobj /Rect [470.755 497.233 478.476 505.645] (Using this pack) 21 0 obj (Conjunction) /Rect [147.716 274.125 265.663 284.973] (Core) 153 0 obj << /Type /Annot 5 Explained exercises. %PDF-1.5 << /S /GoTo /D (section.2) >> >> endobj 130 0 obj << /Rect [466.521 347.793 478.476 356.206] >> endobj /Contents 172 0 R /Border[0 0 0]/H/I/C[1 0 0] 115 0 obj << /Rect [132.772 495.295 227.233 506.144] (Summary of rules) endobj /Border[0 0 0]/H/I/C[1 0 0] >> endobj 101 0 obj /A << /S /GoTo /D (subsection.5.2) >> /Subtype /Link /Border[0 0 0]/H/I/C[1 0 0] /Subtype /Link 113 0 obj 108 0 obj /Rect [466.521 158.503 478.476 166.916] endobj 5. endstream /Border[0 0 0]/H/I/C[1 0 0] << /S /GoTo /D (section.4) >> 145 0 obj << /Rect [132.772 451.46 237.941 462.308] 164 0 obj << (Core) >> endobj /Subtype /Link 168 0 obj << 11 This one seems easy. (Additional challenges) endobj << /S /GoTo /D (subsection.4.9) >> /A << /S /GoTo /D (subsection.4.10) >> 40 0 obj >> endobj �`�$���*+�8�4�N_��Z͋��8��х�ZD�������@���ϟٛ�]�T|�1�B�? ��X-���ިT�QE��FR ���h�9Z��?�a8���X�D������;�*�i���$�0�DI�]�@��j�����̄U���J /Resources 171 0 R /Border[0 0 0]/H/I/C[1 0 0] /A << /S /GoTo /D (subsection.5.4) >> /Rect [147.716 132.655 265.663 143.503] /Type /Annot 37 0 obj /A << /S /GoTo /D (subsection.5.2) >> The pack hopefully o ers more questions to practice with than any student should need, but the sheer number of problems in the pack can be daunting. 2�W� �2&K6G�5VV�j��K#
��&sn| ��X� 33 0 obj /Border[0 0 0]/H/I/C[1 0 0] /Border[0 0 0]/H/I/C[1 0 0] /A << /S /GoTo /D (subsection.4.7) >> 137 0 obj << endobj /Subtype /Link /Type /Annot 77 0 obj /Rect [466.521 206.323 478.476 214.736] endobj << /S /GoTo /D (subsection.3.2) >> >> endobj 80 0 obj << /S /GoTo /D (subsection.4.8) >> /A << /S /GoTo /D (subsection.4.1) >> 141 0 obj << << /S /GoTo /D (subsection.5.1) >> endobj /Subtype /Link /A << /S /GoTo /D (subsection.3.2) >> /Border[0 0 0]/H/I/C[1 0 0] 6 With subdemonstrations. /Border[0 0 0]/H/I/C[1 0 0] 123 0 obj << /Subtype /Link 3 Starting to make suppositions. 119 0 obj << endobj /Border[0 0 0]/H/I/C[1 0 0] >> endobj @�@��e[� 138 0 obj << endobj /A << /S /GoTo /D (section.3) >> (Additional challenges) 146 0 obj << /Border[0 0 0]/H/I/C[1 0 0] 132 0 obj << x��Ks�0���:�TZ�:��ig��L��!��ġ�#��|�J;1���L�p���CZ�Ȑ0�q��z{N�$LFJ�e$4�ހ\��U��=Mg�"�G�`ޟ�Ӊ�y��i?��^?z��aE8���`
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