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nil ))
nil )
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nil ))
nil )
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nil
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-1)
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(("2"
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*
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-3)
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("2"
(expand "finseq_appl" )
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"G!1"
"TR"
"length(w!1)-1"
"w!1" )
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((edgetype type-eq-decl nil digraphs nil )
(finite_set type-eq-decl nil finite_sets nil )
(predigraph type-eq-decl nil digraphs nil )
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(digraph type-eq-decl nil digraphs nil )
(nonempty? const-decl "bool" sets nil )
(Digraph type-eq-decl nil digraphs nil )
(tree? def-decl "bool" trees nil ) (Tree type-eq-decl nil trees nil )
(di_subgraph? const-decl "bool" di_subgraphs nil )
(Subtree type-eq-decl nil max_subtrees nil )
(max_subtree const-decl "Subtree(G)" max_subtrees nil )
(set type-eq-decl nil sets nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(T formal-type-decl nil subtrees nil )
(member const-decl "bool" sets nil )
(subset? const-decl "bool" sets nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(pred type-eq-decl nil defined_types nil )
(Gpred type-eq-decl nil max_di_subgraphs nil )
(di_subgraph type-eq-decl nil di_subgraphs nil )
(maximal? const-decl "bool" max_di_subgraphs nil )
(max_di_subgraph const-decl
"{S: di_subgraph(G) | maximal?(G, S, P)}" max_di_subgraphs nil )
(max_subtree_tree formula-decl nil max_subtrees nil )
(card_1_has_1 formula-decl nil finite_sets nil )
(G!1 skolem-const-decl "Digraph[T]" subtrees nil )
(x!1 skolem-const-decl "T" subtrees nil )
(v!1 skolem-const-decl "T" subtrees nil )
(w!1 skolem-const-decl "prewalk[T]" subtrees nil )
(Walk type-eq-decl nil walks nil )
(walk_acr formula-decl nil subtrees nil )
(walk? const-decl "bool" walks nil )
(verts_in? const-decl "bool" walks nil )
(from? const-decl "bool" walks nil )
(walk_from? const-decl "bool" walks nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(nonempty_add_finite application-judgement
"non_empty_finite_set[T]" subtrees nil )
(nonempty_add_finite application-judgement "non_empty_finite_set"
finite_sets nil )
(is_finite const-decl "bool" finite_sets nil )
(empty? const-decl "bool" sets nil )
(non_empty_finite_set type-eq-decl nil finite_sets nil )
(add const-decl "(nonempty?)" sets nil )
(tt skolem-const-decl "T" subtrees nil )
(del_vert const-decl "digraph[T]" digraph_ops nil )
(remove const-decl "set" sets nil )
(pair type-eq-decl nil pairs nil ) (in? const-decl "bool" pairs nil )
(finite_remove application-judgement "finite_set[T]" subtrees nil )
(leaf? const-decl "bool" trees nil )
(out_deg const-decl "nat" digraph_deg nil )
(outgoing_edges const-decl "finite_set[edgetype[T]]" digraph_deg
nil )
(no_self_loops? const-decl "bool" subtrees nil )
(empty_card formula-decl nil finite_sets nil )
(in_deg const-decl "nat" digraph_deg nil )
(TR skolem-const-decl "Subtree[T](G!1)" subtrees nil )
(ss skolem-const-decl "T" subtrees nil )
(singleton? const-decl "bool" sets nil )
(singleton const-decl "(singleton?)" sets nil )
(nonempty_singleton_finite application-judgement
"non_empty_finite_set" finite_sets nil )
(card_one formula-decl nil finite_sets nil )
(incoming_edges const-decl "finite_set[edgetype[T]]" digraph_deg
nil )
(max_subtree_max formula-decl nil max_subtrees nil )
(OR const-decl "[bool, bool -> bool]" booleans nil )
(below type-eq-decl nil naturalnumbers nil )
(subset_is_partial_order name-judgement "(partial_order?[set[T]])"
sets_lemmas nil )
(edge? const-decl "bool" digraphs nil )
(size const-decl "nat" digraphs nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(nnint_plus_nnint_is_nnint application-judgement "nonneg_int"
integers nil )
(card_add formula-decl nil finite_sets nil )
(TP skolem-const-decl "[# edges: non_empty_finite_set[edgetype[T]],
vert: non_empty_finite_set[T] #]" subtrees nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(int_minus_int_is_int application-judgement "int" integers nil )
(number nonempty-type-decl nil numbers nil )
(number_field_pred const-decl "[number -> boolean]" number_fields
nil )
(number_field nonempty-type-from-decl nil number_fields nil )
(real_pred const-decl "[number_field -> boolean]" reals nil )
(real nonempty-type-from-decl nil reals nil )
(rational_pred const-decl "[real -> boolean]" rationals nil )
(rational nonempty-type-from-decl nil rationals nil )
(integer_pred const-decl "[rational -> boolean]" integers nil )
(int nonempty-type-eq-decl nil integers nil )
(>= const-decl "bool" reals nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(posnat nonempty-type-eq-decl nil integers nil )
(< const-decl "bool" reals nil )
(nat nonempty-type-eq-decl nil naturalnumbers nil )
(below type-eq-decl nil nat_types nil )
(finseq type-eq-decl nil finite_sequences nil )
(prewalk type-eq-decl nil walks nil )
(finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(- const-decl "[numfield, numfield -> numfield]" number_fields nil )
(connected? const-decl "bool" digraph_conn_defs nil )
(reachable? const-decl "bool" walks nil )
(= const-decl "[T, T -> boolean]" equalities nil ))
nil )
(max_tree_all_verts-2 nil 3560594628
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(("1" (assert ) nil nil )) nil ))
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(("2" (lemma "max_subtree_tree" )
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(("1"
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(("2"
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(("2"
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2))
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-1
rl)
(("2"
(expand
"add"
-1)
(("2"
(expand
"member" )
(("2"
(prop)
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nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(case
"del_vert[T](TP, tt) = TR" )
(("1"
(replace
-1)
(("1"
(propax)
nil
nil ))
nil )
("2"
(hide-all-but
(-1
-8
1
4))
(("2"
(expand
"del_vert" )
(("2"
(decompose-equality
1)
(("1"
(expand
"in?" )
(("1"
(decompose-equality)
(("1"
(iff)
(("1"
(ground)
(("1"
(case
"edges(TP) = add((ss, tt), edges(TR))" )
(("1"
(hide
-3)
(("1"
(expand *
"add"
"member" )
(("1"
(decompose-equality
-1)
(("1"
(inst
-1
"(x!2, x!3)" )
(("1"
(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(replace
-2
1
rl)
(("2"
(hide-all-but
1)
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(expand
"add" )
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(propax)
nil
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(replace
-2
1
rl)
(("2"
(assert )
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(expand
"add"
1)
(("2"
(expand
"member" )
(("2"
(propax)
nil
nil ))
nil ))
nil ))
nil ))
nil )
("3"
(hide
-3)
(("3"
(expand
"max_subtree" )
(("3"
(typepred
"max_di_subgraph(G!1, tree?)" )
(("3"
(hide
-2
-3)
(("3"
(replace
-4)
(("3"
(inst
-1
"(x!2, x!3)" )
(("3"
(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("4"
(hide
-3)
(("4"
(expand
"max_subtree" )
(("4"
(typepred
"max_di_subgraph(G!1, tree?)" )
(("4"
(hide
-2
-3)
(("4"
(replace
-4)
(("4"
(inst
-1
"(x!2, x!3)" )
(("4"
(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(decompose-equality)
(("2"
(iff)
(("2"
(prop)
(("1"
(expand *
"remove"
"member" )
(("1"
(flatten)
(("1"
(replace
-2
-1
rl)
(("1"
(assert )
(("1"
(expand
"add"
-1)
(("1"
(expand
"member" )
(("1"
(propax)
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(expand *
"remove"
"member" )
(("2"
(split)
(("1"
(flatten)
(("1"
(assert )
nil
nil ))
nil )
("2"
(replace
-2
1
rl)
(("2"
(assert )
(("2"
(hide
2)
(("2"
(expand *
"add"
"member" )
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(hide-all-but
(-1 1))
(("2"
(replace
-1
1
rl)
(("2"
(hide
-1)
(("2"
(expand
"add" )
(("2"
(propax)
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("3"
(skosimp)
(("3"
(case
"e!1 = (ss, tt)" )
(("1"
(hide-all-but
(-1
-2
-3
-7
1))
(("1"
(replace
-3
1
rl)
(("1"
(expand *
"add"
"member" )
(("1"
(assert )
nil
nil ))
nil ))
nil ))
nil )
("2"
(hide-all-but
(-1
-2
-6
-9
1
2))
(("2"
(replace
-2
*
rl)
(("2"
(hide -2)
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(expand *
"add"
"member" )
(("2"
(ground)
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(expand
"max_subtree" )
(("1"
(typepred
"max_di_subgraph(G!1, tree?)" )
(("1"
(hide
-2
-3)
(("1"
(replace
-4)
(("1"
(inst
-1
"e!1" )
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(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(expand
"max_subtree" )
(("2"
(typepred
"max_di_subgraph(G!1, tree?)" )
(("2"
(hide
-2
-3)
(("2"
(replace
-4)
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(inst
-1
"e!1" )
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nil ))
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nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(expand "finseq_appl" )
(("2"
(lemma "walk_acr" )
(("2"
(inst
-1
"G!1"
"TR"
"length(w!1)-1"
"w!1" )
(("1"
(assert )
(("1"
(expand *
"walk_from?"
"from?" )
(("1"
(flatten)
(("1"
(assert )
(("1"
(skosimp)
(("1"
(inst 2 "j!1" )
(("1"
(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(expand "walk_from?" )
(("2" (flatten) nil nil ))
nil ))
nil ))
nil ))
nil )
("3"
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(("3" (assert ) nil nil ))
nil ))
nil ))
nil ))
nil )
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(("2"
(typepred "max_di_subgraph(G!1, tree?)" )
(("2"
(hide -1 -3)
(("2"
(expand "di_subgraph?" )
(("2"
(flatten)
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(hide -2)
(("2"
(expand "subset?" )
(("2"
(expand "member" )
(("2"
(inst -1 "v!1" )
(("2" (assert ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (expand "tree?" )
(("2" (split)
(("1" (rewrite "card_1_has_1" ) nil nil )
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(("2" (typepred "v!1" )
(("2" (inst 1 "v!1" ) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((edgetype type-eq-decl nil digraphs nil )
(predigraph type-eq-decl nil digraphs nil )
(digraph type-eq-decl nil digraphs nil )
(Digraph type-eq-decl nil digraphs nil )
(tree? def-decl "bool" trees nil ) (Tree type-eq-decl nil trees nil )
(di_subgraph? const-decl "bool" di_subgraphs nil )
(Subtree type-eq-decl nil max_subtrees nil )
(max_subtree const-decl "Subtree(G)" max_subtrees nil )
(Gpred type-eq-decl nil max_di_subgraphs nil )
(di_subgraph type-eq-decl nil di_subgraphs nil )
(maximal? const-decl "bool" max_di_subgraphs nil )
(max_di_subgraph const-decl
"{S: di_subgraph(G) | maximal?(G, S, P)}" max_di_subgraphs nil )
(max_subtree_tree formula-decl nil max_subtrees nil )
(Walk type-eq-decl nil walks nil )
(walk? const-decl "bool" walks nil )
(verts_in? const-decl "bool" walks nil )
(walk_from? const-decl "bool" walks nil )
(del_vert const-decl "digraph[T]" digraph_ops nil )
(pair type-eq-decl nil pairs nil ) (in? const-decl "bool" pairs nil )
(leaf? const-decl "bool" trees nil )
(out_deg const-decl "nat" digraph_deg nil )
(outgoing_edges const-decl "finite_set[edgetype[T]]" digraph_deg
nil )
(in_deg const-decl "nat" digraph_deg nil )
(incoming_edges const-decl "finite_set[edgetype[T]]" digraph_deg
nil )
(max_subtree_max formula-decl nil max_subtrees nil )
(edge? const-decl "bool" digraphs nil )
(size const-decl "nat" digraphs nil )
(prewalk type-eq-decl nil walks nil )
(connected? const-decl "bool" digraph_conn_defs nil ))
nil )
(max_tree_all_verts-1 nil 3301756562
("" (skosimp*)
(("" (apply-extensionality 1 :hide? t)
(("" (iff 1)
(("" (prop)
(("1" (hide -2)
(("1" (lemma "max_subtree_di_subgraph" )
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(("1" (flatten)
(("1" (hide -2)
(("1" (expand "subset?" )
(("1" (inst?)
(("1" (expand "member" )
(("1" (assert ) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (lemma "max_subtree_tree" )
(("2" (inst?)
(("2" (name "TR" "max_subtree(G!1)" )
(("2" (case "(EXISTS (v: T): vert(TR)(v))" )
(("1" (skosimp*)
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(("1"
(case
"(EXISTS (j: posnat): j < length(w!1) AND vert(TR)(w!1(j-1)) AND
NOT vert(TR)(w!1(j)))")
(("1"
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(("1"
(typepred "w!1" )
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(expand "walk?" )
(("1"
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(assert )
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"ss"
"seq(w!1)(j!1 - 1)" )
(("1"
(name
"tt"
"seq(w!1)(j!1)" )
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(name
"TP"
"(# vert := add(tt,vert(TR)),
edges := add((ss,tt),edges(TR)) #)")
(("1"
(case
"tree?(TP)" )
(("1"
(lemma
"max_subtree_max" )
(("1"
(inst
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"G!1"
"TP" )
(("1"
(replace
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(("1"
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(("1"
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*
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"size" )
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nil
nil ))
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nil ))
nil ))
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(replace
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(("2"
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-1
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(("2"
(replace
-1
*
rl)
(("2"
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(expand
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(expand
"di_subgraph?" )
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("2"
(expand
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(("2"
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(("2"
(expand
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(expand
"member" )
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nil
nil )
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(inst
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"x!2" )
(("2"
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nil ))
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nil ))
nil ))
nil ))
nil ))
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nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(replace
-2)
(("2"
(replace
-3)
(("2"
(expand
"tree?" )
(("2"
(flatten)
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1)
(("2"
(inst
1
"tt" )
(("1"
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1)
(("1"
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-11)
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(expand
"in_deg" )
(("1"
(case-replace
"incoming_edges(tt, TP) = singleton(ss, tt)" )
(("1"
(rewrite
"card_singleton" )
nil
nil )
("2"
(hide-all-but
(-1
1))
(("2"
(expand
"incident_edges" )
(("2"
(expand
"incoming_edges" )
(("2"
(expand
"in?" )
(("2"
(case
"subset?({e: edgetype[T] | edges(TP)(e) AND e`2 = tt},{e: edgetype[T] | edges(TP)(e) AND (tt = e`1 OR tt = e`2)})" )
(("1"
(name-replace
"AAA"
"{e: edgetype[T] | edges(TP)(e) AND e`2 = tt}" )
(("1"
(name-replace
"BBB"
"{e: edgetype[T] | edges(TP)(e) AND (tt = e`1 OR tt = e`2)}" )
(("1"
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(("1"
(expand
"member" )
(("1"
(replace
-3)
(("1"
(hide
-3)
(("1"
(expand
"singleton" )
(("1"
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"subset?" )
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(expand
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1
:hide?
t)
(("1"
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-2
"(x!2, x!3)" )
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1)
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nil )
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nil
nil ))
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nil ))
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nil )
("2"
(hide
2)
(("2"
(expand
"member" )
(("2"
(reveal
-2
-3)
(("2"
(hide
-3
-4)
(("2"
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*
rl)
(("2"
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nil
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nil ))
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nil ))
nil ))
nil ))
nil )
("2"
(hide-all-but
1)
(("2"
(grind)
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(hide-all-but
(-1
1))
(("2"
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"out_deg" )
(("2"
(case-replace
"outgoing_edges(tt, TP) = emptyset[edgetype[T]]" )
(("1"
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"card_emptyset" )
nil
nil )
("2"
(hide
2)
(("2"
(expand
"outgoing_edges" )
(("2"
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"emptyset" )
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(expand
"in?" )
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(("1"
(name-replace
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"{e: edgetype[T] | edges(TP)(e) AND e`1 = tt}" )
(("1"
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"{e: edgetype[T] | edges(TP)(e) AND (tt = e`1 OR tt = e`2)}" )
(("1"
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(("1"
(expand
"member" )
(("1"
(replace
-2)
(("1"
(hide
-2)
(("1"
(expand
"subset?" )
(("1"
(expand
"member" )
(("1"
(expand
"singleton" )
(("1"
(apply-extensionality
2
:hide?
t)
(("1"
(inst
-
"(x!2, x!3)" )
(("1"
(assert )
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nil ))
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nil ))
nil ))
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nil ))
nil ))
nil ))
nil )
("2"
(expand
"member" )
(("2"
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(hide
-3)
(("2"
(reveal
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(("2"
(replace
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*
rl)
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(("2"
(apply-extensionality
1
:hide?
t)
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(expand
"subset?" )
(("2"
(expand
"member" )
(("2"
(expand
"singleton" )
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(flatten)
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(inst-cp
-
"(x!2, x!3)" )
(("2"
(assert )
(("2"
(reveal
-18)
(("2"
(expand
"no_self_loops?" )
(("2"
(inst
-
"(ss,tt)" )
(("1"
(assert )
nil
nil )
("2"
(reveal
-7
-8
-11)
(("2"
(inst
-
"j!1-1" )
(("2"
(assert )
nil
nil ))
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nil ))
nil ))
nil )
("2"
(hide
2)
(("2"
(grind)
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(hide
2)
(("2"
(expand
"incident_edges" )
(("2"
(expand
"singleton" )
(("2"
(replace
-1
*
rl)
(("2"
(hide
-1)
(("2"
(apply-extensionality
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t)
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(expand
"member" )
(("2"
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"in?" )
(("2"
(iff)
(("2"
(typepred
"TR" )
(("2"
(hide
-2
-3)
(("2"
(inst?)
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(ground)
nil
nil ))
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nil ))
nil ))
nil ))
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nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(replace
-1
*
rl)
(("2"
(case-replace
"del_vert[T]((# vert := add(tt, vert(TR)),
edges :=
add((ss, tt),
edges(TR))
#),
tt) = TR")
(("1"
(assert )
nil
nil )
("2"
(hide
-11
-12
-13
-14
2
5
6)
(("2"
(apply-extensionality
1
:hide?
t)
(("1"
(expand
"del_vert" )
(("1"
(apply-extensionality
1
:hide?
t)
(("1"
(expand
"add" )
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(expand
"member" )
(("1"
(iff
1)
(("1"
(expand
"in?" )
(("1"
(typepred
"TR" )
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(hide
-2
-3)
(("1"
(inst?)
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(ground)
nil
nil ))
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nil ))
nil ))
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nil ))
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nil ))
nil ))
nil )
("2"
(expand
"del_vert" )
(("2"
(apply-extensionality
1
:hide?
t)
(("2"
(expand
"remove" )
(("2"
(expand
"add" )
(("2"
(expand
"member" )
(("2"
(iff)
(("2"
(ground)
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(replace
-1
*
rl)
(("2"
(assert )
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(expand
"add" )
(("2"
(propax)
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("3"
(assert )
(("3"
(skosimp*)
(("3"
(assert )
(("3"
(replace
-3
*
rl)
(("3"
(hide
-3)
(("3"
(assert )
(("3"
(expand
"add" )
(("3"
(expand
"member" )
(("3"
(replace
-2
*
rl)
(("3"
(assert )
(("3"
(typepred
"TR" )
(("3"
(hide
-2
-3)
(("3"
(inst?)
(("3"
(ground)
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2"
(expand "finseq_appl" )
(("2"
(lemma "walk_acr" )
(("2"
(inst
-1
"G!1"
"TR"
"length(w!1)-1"
"w!1" )
(("2"
(assert )
(("2"
(skosimp*)
(("2"
(inst?)
(("2" (assert ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("3"
(skosimp*)
(("3" (assert ) nil nil ))
nil ))
nil ))
nil ))
nil )
("2" (assert )
(("2" (hide -4 2)
(("2"
(replace -2)
(("2"
(hide -2)
(("2"
(typepred "TR" )
(("2"
(hide -1 -2)
(("2"
(expand "di_subgraph?" )
(("2"
(flatten)
(("2"
(hide -2)
(("2"
(expand "subset?" )
(("2"
(expand "member" )
(("2"
(inst?)
(("2"
(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (hide -4 2)
(("2" (replace -1)
(("2" (hide -1)
(("2" (expand "tree?" )
(("2" (prop)
(("1" (lemma "card_1_has_1[T]" )
(("1"
(inst?)
(("1" (assert ) nil nil ))
nil ))
nil )
("2" (assert )
(("2"
(skosimp*)
(("2"
(hide -2 -3)
(("2"
(inst?)
(("2"
(lemma "card_1_has_1[Dbl]" )
(("2" (assert ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((max_subtree const-decl "Subtree(G)" max_subtrees nil )
(Subtree type-eq-decl nil max_subtrees nil )
(di_subgraph? const-decl "bool" di_subgraphs nil )
(Tree type-eq-decl nil trees nil ) (tree? def-decl "bool" trees nil )
(Digraph type-eq-decl nil digraphs nil )
(digraph type-eq-decl nil digraphs nil )
(predigraph type-eq-decl nil digraphs nil )
(edgetype type-eq-decl nil digraphs nil )
(max_subtree_di_subgraph formula-decl nil max_subtrees nil )
(verts_in? const-decl "bool" walks nil )
(edge? const-decl "bool" digraphs nil )
(incident_edges const-decl "finite_set[edgetype[T]]" digraph_deg
nil )
(incoming_edges const-decl "finite_set[edgetype[T]]" digraph_deg
nil )
(in? const-decl "bool" pairs nil )
(in_deg const-decl "nat" digraph_deg nil )
(out_deg const-decl "nat" digraph_deg nil )
(outgoing_edges const-decl "finite_set[edgetype[T]]" digraph_deg
nil )
(leaf? const-decl "bool" trees nil )
(pair type-eq-decl nil pairs nil )
(del_vert const-decl "digraph[T]" digraph_ops nil )
(max_subtree_max formula-decl nil max_subtrees nil )
(size const-decl "nat" digraphs nil )
(prewalk type-eq-decl nil walks nil )
(walk? const-decl "bool" walks nil )
(Walk type-eq-decl nil walks nil )
(dbl const-decl "set[T]" doubletons nil )
(Dbl type-eq-decl nil doubletons nil )
(max_subtree_tree formula-decl nil max_subtrees nil ))
nil )))
Messung V0.5 in Prozent C=100 H=100 G=100
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