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sav08:homework01 [2008/02/22 11:44] vkuncak |
sav08:homework01 [2008/02/24 17:42] vkuncak |
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| * you may also wish to check the tutorial and this [[http://afp.sourceforge.net/browser_info/current/HOL/BinarySearchTree/BinaryTree_TacticStyle.html|Binary Search Tree example]] | * you may also wish to check the tutorial and this [[http://afp.sourceforge.net/browser_info/current/HOL/BinarySearchTree/BinaryTree_TacticStyle.html|Binary Search Tree example]] | ||
| * for fun, Use formDecider.opt from [[:Jahob system]] to prove the same [[Proofs and Induction#Example|example from class]], as well as the examples in Exercises (install [[:Jahob system]] as well as provers CVC3 and E if needed) | * for fun, Use formDecider.opt from [[:Jahob system]] to prove the same [[Proofs and Induction#Example|example from class]], as well as the examples in Exercises (install [[:Jahob system]] as well as provers CVC3 and E if needed) | ||
| + | * if you log into your EPFL account, the Jahob verifier should be accessible by invoking: | ||
| + | <code> | ||
| + | ~kuncak/software/bin/verify --help | ||
| + | </code> | ||
| ===== Problem 1 ===== | ===== Problem 1 ===== | ||
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| \lnot (p \land q) \leftrightarrow (\lnot p) \lor (\lnot q) \\ | \lnot (p \land q) \leftrightarrow (\lnot p) \lor (\lnot q) \\ | ||
| p \leftrightarrow \lnot (\lnot p) \\ | p \leftrightarrow \lnot (\lnot p) \\ | ||
| - | (p \rightarrow q) \leftrightarrow (p \lor (\lnot q)) \\ | + | (p \rightarrow q) \leftrightarrow ((\lnot p) \lor q) \\ |
| \lnot (p \lor q) \leftrightarrow (\lnot p) \land (\lnot q) | \lnot (p \lor q) \leftrightarrow (\lnot p) \land (\lnot q) | ||
| \end{array} | \end{array} | ||