author | haftmann |
Fri, 11 Jun 2010 17:14:02 +0200 | |
changeset 37407 | 61dd8c145da7 |
parent 35671 | ed2c3830d881 |
child 38185 | b51677438b3a |
permissions | -rw-r--r-- |
33197 | 1 |
(* Title: HOL/Nitpick_Examples/Induct_Nits.thy |
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Author: Jasmin Blanchette, TU Muenchen |
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added hotel key card example for Nitpick, and renumber atoms in Nitpick's output for increased readability
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Copyright 2009, 2010 |
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Examples featuring Nitpick applied to (co)inductive definitions. |
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*) |
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header {* Examples Featuring Nitpick Applied to (Co)inductive Definitions *} |
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theory Induct_Nits |
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imports Main |
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begin |
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optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
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nitpick_params [sat_solver = MiniSat_JNI, max_threads = 1, timeout = 60 s] |
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inductive p1 :: "nat \<Rightarrow> bool" where |
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"p1 0" | |
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"p1 n \<Longrightarrow> p1 (n + 2)" |
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coinductive q1 :: "nat \<Rightarrow> bool" where |
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"q1 0" | |
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"q1 n \<Longrightarrow> q1 (n + 2)" |
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lemma "p1 = q1" |
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nitpick [expect = none] |
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nitpick [wf, expect = none] |
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nitpick [non_wf, expect = none] |
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nitpick [non_wf, dont_star_linear_preds, expect = none] |
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oops |
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lemma "p1 \<noteq> q1" |
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nitpick [expect = potential] |
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nitpick [wf, expect = potential] |
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nitpick [non_wf, expect = potential] |
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nitpick [non_wf, dont_star_linear_preds, expect = potential] |
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oops |
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lemma "p1 (n - 2) \<Longrightarrow> p1 n" |
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nitpick [expect = genuine] |
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nitpick [non_wf, expect = genuine] |
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nitpick [non_wf, dont_star_linear_preds, expect = genuine] |
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oops |
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lemma "q1 (n - 2) \<Longrightarrow> q1 n" |
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nitpick [expect = genuine] |
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nitpick [non_wf, expect = genuine] |
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nitpick [non_wf, dont_star_linear_preds, expect = genuine] |
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oops |
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inductive p2 :: "nat \<Rightarrow> bool" where |
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"p2 n \<Longrightarrow> p2 n" |
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coinductive q2 :: "nat \<Rightarrow> bool" where |
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"q2 n \<Longrightarrow> q2 n" |
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lemma "p2 = {}" |
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nitpick [expect = none] |
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nitpick [dont_star_linear_preds, expect = none] |
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sorry |
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lemma "q2 = {}" |
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nitpick [expect = genuine] |
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nitpick [dont_star_linear_preds, expect = genuine] |
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35671
ed2c3830d881
improved Nitpick's precision for "card" and "setsum" + fix incorrect outcome code w.r.t. "bisim_depth = -1"
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parents:
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nitpick [wf, expect = quasi_genuine] |
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oops |
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lemma "p2 = UNIV" |
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nitpick [expect = genuine] |
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nitpick [dont_star_linear_preds, expect = genuine] |
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oops |
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lemma "q2 = UNIV" |
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nitpick [expect = none] |
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nitpick [dont_star_linear_preds, expect = none] |
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ed2c3830d881
improved Nitpick's precision for "card" and "setsum" + fix incorrect outcome code w.r.t. "bisim_depth = -1"
blanchet
parents:
35078
diff
changeset
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nitpick [wf, expect = quasi_genuine] |
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sorry |
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lemma "p2 = q2" |
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nitpick [expect = genuine] |
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nitpick [dont_star_linear_preds, expect = genuine] |
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oops |
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lemma "p2 n" |
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nitpick [expect = genuine] |
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nitpick [dont_star_linear_preds, expect = genuine] |
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nitpick [dont_specialize, expect = genuine] |
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oops |
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lemma "q2 n" |
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nitpick [expect = none] |
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nitpick [dont_star_linear_preds, expect = none] |
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sorry |
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lemma "\<not> p2 n" |
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nitpick [expect = none] |
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nitpick [dont_star_linear_preds, expect = none] |
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sorry |
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lemma "\<not> q2 n" |
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nitpick [expect = genuine] |
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nitpick [dont_star_linear_preds, expect = genuine] |
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nitpick [dont_specialize, expect = genuine] |
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oops |
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inductive p3 and p4 where |
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"p3 0" | |
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"p3 n \<Longrightarrow> p4 (Suc n)" | |
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"p4 n \<Longrightarrow> p3 (Suc n)" |
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coinductive q3 and q4 where |
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"q3 0" | |
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"q3 n \<Longrightarrow> q4 (Suc n)" | |
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"q4 n \<Longrightarrow> q3 (Suc n)" |
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lemma "p3 = q3" |
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nitpick [expect = none] |
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nitpick [dont_star_linear_preds, expect = none] |
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nitpick [non_wf, expect = potential] |
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nitpick [non_wf, dont_box, expect = none] |
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nitpick [non_wf, dont_star_linear_preds, expect = none] |
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sorry |
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lemma "p4 = q4" |
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nitpick [expect = none] |
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nitpick [dont_star_linear_preds, expect = none] |
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nitpick [non_wf, expect = potential] |
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nitpick [non_wf, dont_box, expect = none] |
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nitpick [non_wf, dont_star_linear_preds, expect = none] |
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sorry |
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lemma "p3 = UNIV - p4" |
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nitpick [expect = none] |
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nitpick [dont_star_linear_preds, expect = none] |
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nitpick [non_wf, expect = potential] |
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nitpick [non_wf, dont_box, expect = none] |
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nitpick [non_wf, dont_star_linear_preds, expect = none] |
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sorry |
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lemma "q3 = UNIV - q4" |
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nitpick [expect = none] |
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nitpick [dont_star_linear_preds, expect = none] |
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nitpick [non_wf, expect = none] |
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nitpick [non_wf, dont_box, expect = none] |
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nitpick [non_wf, dont_star_linear_preds, expect = none] |
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sorry |
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lemma "p3 \<inter> q4 \<noteq> {}" |
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nitpick [expect = potential] |
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nitpick [non_wf, expect = potential] |
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nitpick [non_wf, dont_star_linear_preds, expect = potential] |
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sorry |
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lemma "q3 \<inter> p4 \<noteq> {}" |
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nitpick [expect = potential] |
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nitpick [non_wf, expect = potential] |
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nitpick [non_wf, dont_star_linear_preds, expect = potential] |
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sorry |
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lemma "p3 \<union> q4 \<noteq> UNIV" |
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nitpick [expect = potential] |
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nitpick [non_wf, expect = potential] |
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nitpick [non_wf, dont_star_linear_preds, expect = potential] |
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sorry |
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lemma "q3 \<union> p4 \<noteq> UNIV" |
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nitpick [expect = potential] |
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nitpick [non_wf, expect = potential] |
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nitpick [non_wf, dont_star_linear_preds, expect = potential] |
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sorry |
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end |