author | Christian Urban <urbanc@in.tum.de> |
Sat, 17 Dec 2011 17:08:47 +0000 | |
branch | Nominal2-Isabelle2011-1 |
changeset 3071 | 11f6a561eb4b |
parent 2950 | 0911cb7bf696 |
permissions | -rw-r--r-- |
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theory Multi_Recs2 |
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imports "../Nominal2" |
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begin |
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(* |
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multiple recursive binders - multiple letrecs with multiple |
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clauses for each functions |
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example 8 from Peter Sewell's bestiary (originally due |
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to James Cheney) |
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*) |
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Cezary Kaliszyk <kaliszyk@in.tum.de>
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Cezary Kaliszyk <kaliszyk@in.tum.de>
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atom_decl name |
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nominal_datatype fun_recs: exp = |
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Var name |
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| Unit |
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| Pair exp exp |
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| LetRec l::lrbs e::exp binds (set) "b_lrbs l" in l e |
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and fnclause = |
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K x::name p::pat f::exp binds (set) "b_pat p" in f |
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and fnclauses = |
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S fnclause |
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| ORs fnclause fnclauses |
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and lrb = |
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Clause fnclauses |
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and lrbs = |
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Single lrb |
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| More lrb lrbs |
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and pat = |
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PVar name |
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| PUnit |
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| PPair pat pat |
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binder |
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b_lrbs :: "lrbs \<Rightarrow> atom set" and |
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b_pat :: "pat \<Rightarrow> atom set" and |
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b_fnclauses :: "fnclauses \<Rightarrow> atom set" and |
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b_fnclause :: "fnclause \<Rightarrow> atom set" and |
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b_lrb :: "lrb \<Rightarrow> atom set" |
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where |
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"b_lrbs (Single l) = b_lrb l" |
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| "b_lrbs (More l ls) = b_lrb l \<union> b_lrbs ls" |
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| "b_pat (PVar x) = {atom x}" |
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| "b_pat (PUnit) = {}" |
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| "b_pat (PPair p1 p2) = b_pat p1 \<union> b_pat p2" |
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| "b_fnclauses (S fc) = (b_fnclause fc)" |
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| "b_fnclauses (ORs fc fcs) = (b_fnclause fc) \<union> (b_fnclauses fcs)" |
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| "b_lrb (Clause fcs) = (b_fnclauses fcs)" |
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| "b_fnclause (K x pat exp) = {atom x}" |
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thm fun_recs.permute_bn |
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thm fun_recs.perm_bn_alpha |
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thm fun_recs.perm_bn_simps |
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thm fun_recs.bn_finite |
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thm fun_recs.inducts |
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thm fun_recs.distinct |
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thm fun_recs.induct |
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thm fun_recs.inducts |
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thm fun_recs.exhaust |
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thm fun_recs.fv_defs |
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thm fun_recs.bn_defs |
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thm fun_recs.perm_simps |
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thm fun_recs.eq_iff |
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thm fun_recs.fv_bn_eqvt |
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thm fun_recs.size_eqvt |
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thm fun_recs.supports |
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thm fun_recs.fsupp |
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thm fun_recs.supp |
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|
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thm fun_recs.distinct |
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thm fun_recs.induct |
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thm fun_recs.inducts |
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thm fun_recs.exhaust |
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thm fun_recs.fv_defs |
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thm fun_recs.bn_defs |
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thm fun_recs.perm_simps |
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thm fun_recs.eq_iff |
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thm fun_recs.fv_bn_eqvt |
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thm fun_recs.size_eqvt |
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thm fun_recs.supports |
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thm fun_recs.fsupp |
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thm fun_recs.supp |
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proper application of induction_schema and strong_exhaust rules; needs local fix in induction_schema.ML
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Cezary Kaliszyk <kaliszyk@in.tum.de>
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87 |
end |
9cec4269b7f9
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Cezary Kaliszyk <kaliszyk@in.tum.de>
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90 |