Method and/or system for manipulating tree expressions

A method of manipulating a labeled complex two-dimensional graphical hierarchy,

• the labeled complex two-dimensional graphical hierarchy being a labeled tree hierarchy,
• the method comprising:
• executing instructions on one or more processors of one or more computing devices comprising:
• converting a first labeled tree hierarchy in a first view represented by one or more signal values to a first labeled tree hierarchy in a second view represented by one or more signal values;
• converting the first labeled tree hierarchy in the second view and a second labeled tree hierarchy in the second view to numerals represented by one or more signal values;
• combining the numerals;
• and
• converting the combined numerals represented by one or more signal values to a labeled tree hierarchy represented by one or more signal values,
• wherein the labeled tree hierarchy comprises a labeled tree hierarchy in a view other than the second view.

A method of manipulating a labeled complex two-dimensional graphical hierarchy,

• the labeled complex two-dimensional graphical hierarchy representing an edge-labeled tree (ELT) hierarchy,
• the method comprising:
• executing instructions on one or more processors of one or more computing devices comprising:
• employing a push operation with respect to the ELT hierarchy represented by one or more signal values,
• wherein the push operation comprises adding an edge and labeling the edge with a first numeral represented by one or more signal values;
• and
• converting the ELT hierarchy to a different view,
• wherein the ELT hierarchy has a view of N, N being a second numeral represented by one or more signal values;
• and
• wherein the first numeral is selected from the group of numerals that are less than the second numeral.

A method of manipulating a labeled complex two-dimensional graphical hierarchy,

• the labeled complex two-dimensional graphical hierarchy representing a node-labeled tree (NLT) hierarchy, the method comprising:
• executing instructions on one or more processors of one or more computing devices comprising:
• employing a push operation with respect to the NLT hierarchy represented by one or more signal values,
• wherein the push operation comprises adding a node and labeling the node with a first numeral represented by one or more signal values;
• and
• converting the NLT hierarchy to a different view,
• wherein the NLT hierarchy has a view of M, M being a second numeral represented by one or more signal values;
• and
• wherein the first numeral comprises a numeral selected from the group of numerals that are less than the second numeral.

An article comprising:

• a non-transitory storage medium having stored thereon instructions the instructions being executable by one or more processors of one or more computing devices
• to manipulate a labeled complex two-dimensional graphical hierarchy,
• the labeled complex two-dimensional graphical hierarchy being a labeled tree hierarchy, and to:
• convert a first labeled tree hierarchy in a first view represented by one or more signal values to a first labeled tree hierarchy in a second view represented by one or more signal values;
• convert the first labeled tree hierarchy in the second view and a second labeled tree hierarchy in the second view to numerals represented by one or more signal values;
• combine the numerals;
• and
• convert the combined numerals represented by one or more signal values to a labeled tree hierarchy represented by one or more signal values,
• the labeled tree hierarchy to comprise a labeled tree hierarchy in the second view.

An article comprising:

• a non-transitory storage medium having stored thereon instructions the instructions being executable by one or more processors of one or more computing devices to manipulate a labeled complex two-dimensional graphical hierarchy,
• the labeled complex two-dimensional graphical hierarchy being a labeled tree hierarchy, and to:
• convert a first labeled tree hierarchy in a first view represented by one or more signal values to a first labeled tree hierarchy in a second view represented by one or more signal values;
• convert the first labeled tree hierarchy in the second view and a second labeled tree hierarchy in the second view to numerals represented by one or more signal values;
• combine the numerals;
• and
• convert the combined numerals represented by one or more signal values to a labeled tree hierarchy represented by one or more signal values,
• the labeled tree hierarchy to comprise a labeled tree hierarchy in a view other than the second view.

An article comprising:

• a non-transitory storage medium having stored thereon instructions the instructions being executable by one or more processors of one or more computing devices to manipulate a labeled complex two-dimensional graphical hierarchy, the labeled complex two-dimensional graphical hierarchy being an edge-labeled tree (ELT) hierarchy, and to:
• employ a push operation with respect to the ELT hierarchy represented by one or more signal values,
• the push operation to comprise to add an edge and label the edge with a first numeral represented by one or more signal values;
• and
• convert the ELT hierarchy to a different view,
• wherein the ELT hierarchy has a view of N, N being a second numeral represented by one or more signal values, and
• the first numeral to comprise a numeral to be selected from the group of numerals that are less than the second numeral.

An article comprising:

• a non-transitory storage medium having stored thereon instructions the instructions being executable by one or more processors of one or more computing devices to manipulate a labeled complex two-dimensional graphical hierarchy,
• the labeled complex two-dimensional graphical hierarchy being a node-labeled tree (NLT) hierarchy, and to:
• employ a push operation with respect to the NLT hierarchy represented by one or more signal values,
• the push operation to comprise to add a node and label the node with a first numeral represented by one or more signal values;
• and
• convert the NLT hierarchy to a different view,
• wherein the NLT hierarchy has a view of M, M being a second numeral represented by one or more signal values, and
• the first numeral to comprise a numeral selected from the group of numerals that are less than the second numeral.

An apparatus to manipulate a labeled complex two-dimensional graphical hierarchy,

• the labeled complex two-dimensional graphical hierarchy being a labeled tree hierarchy,
• the apparatus comprising:
• a computing device;
• the computing device to:
• convert a first labeled tree hierarchy in a first view represented by one or more signal values to a first labeled tree hierarchy in a second view represented by one or more signal values;
• convert the first labeled tree hierarchy in the second view and a second labeled tree hierarchy in the second view to numerals represented by one or more signal values,
• combine the numerals, and
• convert the combined numerals represented by one or more signal values to a labeled tree hierarchy represented by one or more signal values;
• wherein the labeled tree hierarchy is a labeled tree hierarchy in the second view.

An apparatus to manipulate a labeled complex two-dimensional graphical hierarchy, the labeled complex two-dimensional graphical hierarchy being a labeled tree hierarchy, the apparatus comprising:

• a computing device;
• the computing device to:
• convert a first labeled tree hierarchy in a first view represented by one or more signal values to a first labeled tree hierarchy in a second view represented by one or more signal values;
• convert the first labeled tree hierarchy in the second view and a second labeled tree hierarchy in the second view to numerals represented by one or more signal values,
• combine the numerals, and
• convert the combined numerals represented by one or more signal values to a labeled tree hierarchy represented by one or more signal values;
• wherein the labeled tree hierarchy is a
• labeled tree hierarchy in a view other than the second view.