equal
deleted
inserted
replaced
51 qed |
51 qed |
52 |
52 |
53 end |
53 end |
54 |
54 |
55 |
55 |
56 interpretation Val_semilattice |
56 permanent_interpretation Val_semilattice |
57 where \<gamma> = \<gamma>_const and num' = Const and plus' = plus_const |
57 where \<gamma> = \<gamma>_const and num' = Const and plus' = plus_const |
58 proof |
58 proof |
59 case goal1 thus ?case |
59 case goal1 thus ?case |
60 by(cases a, cases b, simp, simp, cases b, simp, simp) |
60 by(cases a, cases b, simp, simp, cases b, simp, simp) |
61 next |
61 next |
65 next |
65 next |
66 case goal4 thus ?case |
66 case goal4 thus ?case |
67 by(auto simp: plus_const_cases split: const.split) |
67 by(auto simp: plus_const_cases split: const.split) |
68 qed |
68 qed |
69 |
69 |
70 interpretation Abs_Int |
70 permanent_interpretation Abs_Int |
71 where \<gamma> = \<gamma>_const and num' = Const and plus' = plus_const |
71 where \<gamma> = \<gamma>_const and num' = Const and plus' = plus_const |
72 defines AI_const is AI and step_const is step' and aval'_const is aval' |
72 defines AI_const is AI and step_const is step' and aval'_const is aval' |
73 .. |
73 .. |
74 |
74 |
75 |
75 |
119 value "show_acom (the(AI_const test6_const))" |
119 value "show_acom (the(AI_const test6_const))" |
120 |
120 |
121 |
121 |
122 text{* Monotonicity: *} |
122 text{* Monotonicity: *} |
123 |
123 |
124 interpretation Abs_Int_mono |
124 permanent_interpretation Abs_Int_mono |
125 where \<gamma> = \<gamma>_const and num' = Const and plus' = plus_const |
125 where \<gamma> = \<gamma>_const and num' = Const and plus' = plus_const |
126 proof |
126 proof |
127 case goal1 thus ?case |
127 case goal1 thus ?case |
128 by(auto simp: plus_const_cases split: const.split) |
128 by(auto simp: plus_const_cases split: const.split) |
129 qed |
129 qed |
131 text{* Termination: *} |
131 text{* Termination: *} |
132 |
132 |
133 definition m_const :: "const \<Rightarrow> nat" where |
133 definition m_const :: "const \<Rightarrow> nat" where |
134 "m_const x = (if x = Any then 0 else 1)" |
134 "m_const x = (if x = Any then 0 else 1)" |
135 |
135 |
136 interpretation Abs_Int_measure |
136 permanent_interpretation Abs_Int_measure |
137 where \<gamma> = \<gamma>_const and num' = Const and plus' = plus_const |
137 where \<gamma> = \<gamma>_const and num' = Const and plus' = plus_const |
138 and m = m_const and h = "1" |
138 and m = m_const and h = "1" |
139 proof |
139 proof |
140 case goal1 thus ?case by(auto simp: m_const_def split: const.splits) |
140 case goal1 thus ?case by(auto simp: m_const_def split: const.splits) |
141 next |
141 next |