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134 \contentsline {subsection}{Rewrite rules}{60} |
134 \contentsline {subsection}{Rewrite rules}{60} |
135 \contentsline {subsection}{Congruence rules}{61} |
135 \contentsline {subsection}{Congruence rules}{61} |
136 \contentsline {subsection}{The subgoaler}{61} |
136 \contentsline {subsection}{The subgoaler}{61} |
137 \contentsline {subsection}{The solver}{62} |
137 \contentsline {subsection}{The solver}{62} |
138 \contentsline {subsection}{The looper}{62} |
138 \contentsline {subsection}{The looper}{62} |
139 \contentsline {section}{\numberline {8.2}The simplification tactics}{63} |
139 \contentsline {section}{\numberline {8.2}The simplification tactics}{62} |
140 \contentsline {section}{\numberline {8.3}Example: using the simplifier}{64} |
140 \contentsline {section}{\numberline {8.3}Example: using the simplifier}{63} |
141 \contentsline {chapter}{\numberline {9}The classical theorem prover}{67} |
141 \contentsline {chapter}{\numberline {9}The classical theorem prover}{67} |
142 \contentsline {section}{\numberline {9.1}The sequent calculus}{67} |
142 \contentsline {section}{\numberline {9.1}The sequent calculus}{67} |
143 \contentsline {section}{\numberline {9.2}Simulating sequents by natural deduction}{68} |
143 \contentsline {section}{\numberline {9.2}Simulating sequents by natural deduction}{68} |
144 \contentsline {section}{\numberline {9.3}Extra rules for the sequent calculus}{69} |
144 \contentsline {section}{\numberline {9.3}Extra rules for the sequent calculus}{69} |
145 \contentsline {section}{\numberline {9.4}Classical rule sets}{70} |
145 \contentsline {section}{\numberline {9.4}Classical rule sets}{70} |