DESCRIPTIONProoftree visualizes proof trees during proof development with Proof General. Currently it only works for Coq, though adding support for other proof assistants should be relatively easy.
To start a proof-tree display, hit the Prooftree icon in the Proof General tool-bar or select the menu entry Proof-General -> Start/Stop Prooftree or type C-c C-d (which runs proof-tree-external-display-toggle). Inside a proof, this will immediately start a proof-tree display for the current proof. Outside a proof, Proof General remembers to start the proof-tree display for the next proof.
Under normal circumstances Prooftree is started by Proof General as an Emacs subprocess. The user interacts with Prooftree only through the graphical user interface. A substantial part of the proof-tree visualization task is done by Proof General. Therefore not only the Prooftree command line arguments but also other aspects can only be configured inside Proof General, see Proof General Customization below.
- Print synopsis and exit.
- Open the configuration dialog on startup (if you want to change the configuration without starting Proof General).
- -geometry spec
- Sets the X geometry of the main window. spec is a standard X geometry string in the form xposxypos[+xoff[+yoff]].
- -tee file
- Write all input to file (usually for debugging purposes).
- Provide more details on errors.
- Open the help dialog on startup. Mainly useful for proofreading the help text.
MAIN PROOF DISPLAYProoftree opens one window for each proof that it is requested to display. This window contains the proof-tree graph and a small display for sequents and proof commands.
ColorsThe branches in the proof-tree graph are colored according to their state. Prooftree distinguishes between the following states.
- current (blue by default)
- The current branch is the branch from the root of the proof tree to the current goal.
- unproven (default foreground color)
- A branch is unproven if it contains open proof goals.
- proved incomplete (cyan by default)
- An incompletely proved branch has its proof finished, but some of the existential variables that have been introduced in this branch are not (yet) instantiated.
- proved partially (dark green by default)
- In a partially proved branch all existential variables of the branch itself are instantiated, but some of those instantiations contain existential variables that are not (yet) instantiated.
- proved complete (green by default)
- A branch is proved complete if all its existential variables are instantiated with terms that themselves do not contain any existential variables.
- cheated (red by default)
- A cheated branch contains a cheating proof command, such as admit
The colors as well as many other Prooftree parameters can be changed in the Prooftree Configuration Dialog (see below).
NavigationWhen the proof tree grows large one can navigate by a variety of means. In addition to scroll bars and the usual keys one can move the proof tree by dragging with mouse button 1 pressed. By default, dragging moves the viewport (i.e., the proof tree underneath moves in the opposite direction). After setting a negative value for Drag acceleration in the Prooftree Configuration Dialog, dragging will move the proof tree instead (i.e, the proof tree moves in the same direction as the mouse).
Sequent DisplayThe sequent display below the proof tree normally shows the ancestor sequent of the current goal. With a single left mouse click one can display any goal or proof command in the sequent display. A single click outside the proof tree will switch back to default behavior. The initial size of the sequent display can be set in the Prooftree Configuration Dialog. A value of 0 hides the sequent display.
Tool TipsAbbreviated proof commands and sequents are shown in full as tool tips when the mouse pointer rests over them. Both, the tool tips for abbreviated proof commands and for sequents can be independently switched off in the Prooftree Configuration Dialog. The length at which proof commands are abbreviated can be configured as well.
Additional DisplaysA double click or a shift-click displays any goal or proof command in an additional window. These additional windows are deleted when the main proof-tree window disappears, unless their Sticky button is pressed.
Existential VariablesProoftree keeps track of existential variables, whether they have been instantiated and whether they depend on some other, not (yet) instantiated existential. It uses different colors for proved branches that contain non-instantiated existential variables and branches that only depend on some not instantiated existential. The list of currently not (yet) instantiated existential variables is appended to proof commands and sequents in tool-tips and the other displays.
The Existential Variable Dialog displays a table with all existential variables of the current proof and their dependencies. Each line of the table contains a button that marks the proof command that introduced this variable (with yellow background, by default) and, if present, the proof command that instantiated this variable (with orange background, by default).
Main MenuThe Menu button displays the main menu. The Clone item clones the current proof tree in an additional window. This additional window continues to display a snapshot of the cloned proof tree, no matter what happens with the original proof.
The Show current item moves the viewport to the proof tree such that the current proof goal (if there is any) will be visible.
The Exit item terminates Prooftree and closes all proof-tree displays.
The remaining three items display, respectively, the Prooftree Configuration Dialog, and the Help and About windows.
Context MenuA right click displays the Context Menu, which contains additional items.
The item Undo to point is active over sequent nodes in the proof tree. Then it sends an retract or undo request to Proof General that retracts the scripting buffer up to that sequent.
The items Insert command and Insert subproof are active over proof commands. They sent, respectively, the selected proof command or all proof commands in the selected subtree, to Proof General, which inserts them at point.
Prooftree Configuration DialogChanges in the configuration dialog take only effect when the Apply or OK button is pressed. The Save button stores the current configuration (as marshaled OCaml record) in ~/.prooftree, which will overwrite the built-in default configuration for the following Prooftree runs. The Restore button loads and applies the saved configuration.
Proof General CustomizationThe location of the Prooftree executable and the command line arguments are in the customization group proof-tree. Prover specific points, such as the regular expressions for navigation and cheating commands are in the customization group proof-tree-internals. To visit a customization group, type M-x customize-group followed by the name of the customization group inside Proof General.
LIMITATIONSFor Coq, proofs must be started with command Proof, which is the recommended practice anyway (see Coq problem report 2776).
PREREQUISITESThis version of Prooftree requires Coq 8.4beta or better and Proof General 4.3pre130327 or better.
- Saved Prooftree configuration. Is loaded at application start-up for overwriting the built-in default configuration. Must contain a marshaled OCaml configuration record.
CREDITSProoftree has been inspired by the proof tree display of PVS.
AUTHORHendrik Tews <prooftree at askra.de>