Details About PVS Di-Graphs Library
The PVS dump file contains a subset of the theories
above for directed graphs:
abstract_min -- abstract definition of min
abstract_max -- abstract definition of max
circuits -- theory of circuits
pairs -- theory of pairs used for definition of edge
digraphs -- fundamental definition of a digraph
digraph_conn_defs -- defs of piece, path, and structural connectedness
digraph_deg -- definition of degree
digraph_inductions -- vertex and edge inductions for digraphs
digraph_ops -- delete vertex and delete edge operations
dags, -- directed acyclic graphs
ind_paths -- definition of independent paths
max_di_subgraphs -- maximal di_subgraphs with specified property
max_subtrees -- maximal subtrees with specified property
min_walk_reduced -- theorem that minimum walk is reduced
min_walks -- minimum walk satisfying a property
path_lems -- some useful lemmas about paths
path_ops -- deleting vertex and edge operations
paths -- fundamental definition and properties about paths
reduce_walks -- operation to reduce a walk
sep_sets -- definition of separating sets
di_subgraphs -- generation of di_subgraphs from vertex sets
di_subgraphs_from_walk -- generation of di_subgraphs from walks
subtrees -- subtrees of a digraph
trees -- fundamental definition of trees
walk_inductions -- induction on length of a walk
walks -- fundamental definition and properties of walks
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last modified: 30 June 2001