-
Notifications
You must be signed in to change notification settings - Fork 4
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Merge pull request #34 from lenianiva/doc/main
doc: Documentations in pages
- Loading branch information
Showing
19 changed files
with
965 additions
and
59 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,155 @@ | ||
{ | ||
"cells": [ | ||
{ | ||
"cell_type": "markdown", | ||
"id": "ec3abb52-d7cd-471f-b3b7-2d9681c79360", | ||
"metadata": {}, | ||
"source": [ | ||
"# Search\n", | ||
"\n", | ||
"Pantograph supports basic proof search. In this case, Pantograph treats goals as nodes on an and-or tree. The user supplies an agent which should provide two functions:\n", | ||
"\n", | ||
"1. *Tactic*: Which tactic should be used on a goal?\n", | ||
"2. *Guidance*: What is the search priority on a goal?\n", | ||
"\n", | ||
"The user agent should inherit from `pantograph.search.Agent`. Here is a brute force agent example:" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 1, | ||
"id": "959458f5-02e4-4f73-ae28-16a756aebed9", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"from typing import Optional\n", | ||
"import collections\n", | ||
"from pantograph import Server\n", | ||
"from pantograph.search import Agent\n", | ||
"from pantograph.expr import GoalState, Tactic" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 2, | ||
"id": "8b402602-3ae5-43e4-9a62-2fa9e2c039fa", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"class DumbAgent(Agent):\n", | ||
"\n", | ||
" def __init__(self):\n", | ||
" super().__init__()\n", | ||
"\n", | ||
" self.goal_tactic_id_map = collections.defaultdict(lambda : 0)\n", | ||
" self.intros = [\n", | ||
" \"intro\",\n", | ||
" ]\n", | ||
" self.tactics = [\n", | ||
" \"intro h\",\n", | ||
" \"cases h\",\n", | ||
" \"apply Or.inl\",\n", | ||
" \"apply Or.inr\",\n", | ||
" ]\n", | ||
" self.no_space_tactics = [\n", | ||
" \"assumption\",\n", | ||
" ]\n", | ||
"\n", | ||
" def next_tactic(\n", | ||
" self,\n", | ||
" state: GoalState,\n", | ||
" goal_id: int,\n", | ||
" ) -> Optional[Tactic]:\n", | ||
" key = (state.state_id, goal_id)\n", | ||
" i = self.goal_tactic_id_map[key]\n", | ||
"\n", | ||
" target = state.goals[goal_id].target\n", | ||
" if target.startswith('∀'):\n", | ||
" tactics = self.intros\n", | ||
" elif ' ' in target:\n", | ||
" tactics = self.tactics\n", | ||
" else:\n", | ||
" tactics = self.no_space_tactics\n", | ||
"\n", | ||
" if i >= len(tactics):\n", | ||
" return None\n", | ||
"\n", | ||
" self.goal_tactic_id_map[key] = i + 1\n", | ||
" return tactics[i]" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"id": "665db9d0-5fff-4b26-9cea-32d06a6e1e04", | ||
"metadata": {}, | ||
"source": [ | ||
"Execute the search with `agent.search`." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 3, | ||
"id": "1c7961d1-b1fa-498c-ab75-16feb784ca2c", | ||
"metadata": {}, | ||
"outputs": [ | ||
{ | ||
"data": { | ||
"text/plain": [ | ||
"SearchResult(n_goals_root=1, duration=0.7717759609222412, success=True, steps=16)" | ||
] | ||
}, | ||
"execution_count": 3, | ||
"metadata": {}, | ||
"output_type": "execute_result" | ||
} | ||
], | ||
"source": [ | ||
"server = Server()\n", | ||
"agent = DumbAgent()\n", | ||
"goal_state = server.goal_start(\"∀ (p q: Prop), Or p q -> Or q p\")\n", | ||
"agent.search(server=server, goal_state=goal_state, verbose=False)" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"id": "141e0116-cbb6-4957-aaea-2a1100f80ece", | ||
"metadata": {}, | ||
"source": [ | ||
"## Automatic and Manual Modes\n", | ||
"\n", | ||
"The agent chooses one goal and executes a tactic on this goal. What happens to the other goals that are not chosen? By default, the server runs in automatic mode. In automatic mode, all other goals are automatically inherited by a child state, so a user agent could declare a proof finished when there are no more goals remaining in the current goal state.\n", | ||
"\n", | ||
"Some users may wish to handle sibling goals manually. For example, Aesop's treatment of metavariable coupling is not automatic. To do this, pass the flag `options={ \"automaticMode\" : False }` to the `Server` constructor." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"id": "2090e538-d196-4923-937c-b83fedf1d9a2", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [] | ||
} | ||
], | ||
"metadata": { | ||
"kernelspec": { | ||
"display_name": "Python 3 (ipykernel)", | ||
"language": "python", | ||
"name": "python3" | ||
}, | ||
"language_info": { | ||
"codemirror_mode": { | ||
"name": "ipython", | ||
"version": 3 | ||
}, | ||
"file_extension": ".py", | ||
"mimetype": "text/x-python", | ||
"name": "python", | ||
"nbconvert_exporter": "python", | ||
"pygments_lexer": "ipython3", | ||
"version": "3.12.6" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 5 | ||
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,5 @@ | ||
Data | ||
============= | ||
|
||
.. automodule:: pantograph.compiler | ||
:members: |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,8 @@ | ||
Expr | ||
============= | ||
|
||
.. automodule:: pantograph.expr | ||
:members: | ||
|
||
.. autodata:: pantograph.expr.Expr | ||
.. autodata:: pantograph.expr.Tactic |
Oops, something went wrong.