From feeab9063deb5c6de29cf31e4e7a5f9918555d3b Mon Sep 17 00:00:00 2001 From: lmoss Date: Mon, 6 Jan 2025 17:41:52 -0500 Subject: [PATCH] changed toc, added a file --- _build/.doctrees/environment.pickle | Bin 641184 -> 787185 bytes _build/.doctrees/index.doctree | Bin 24819 -> 16667 bytes .../.doctrees/introOneSharp/haltDef.doctree | Bin 26601 -> 26394 bytes .../introOneSharp/instructions.doctree | Bin 107567 -> 119415 bytes _build/html/_sources/index.md | 51 +-------- .../html/_sources/introOneSharp/haltDef.ipynb | 95 ++++++++-------- .../_sources/introOneSharp/instructions.ipynb | 105 ++++++++++++++---- _build/html/genindex.html | 6 + _build/html/index.html | 59 +++------- _build/html/introOneSharp/functions.html | 6 + _build/html/introOneSharp/haltDef.html | 18 ++- _build/html/introOneSharp/instructions.html | 92 +++++++++++++-- .../html/introOneSharp/move_copy_write.html | 6 + _build/html/introOneSharp/tidy.html | 6 + _build/html/issues/coding.html | 6 + 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If you run this in an interpreter, you will need to figure out how to stop the execution. Most of the time, we are interested in programs which do finish. Actually, we are interested in programs which finish in a special way.\n", "\n", @@ -48,19 +35,19 @@ "```\n", "\n", "To see the difference, consider the following two programs: \n", - "$\\one\\one\\hash\\hash\\hash$ and $\\one\\hash$. Suppose we run them with some fixed but arbitrary word $x$ in R1.\n", + "```11###``` and ```1#111. Suppose we run them with some fixed but arbitrary word $x$ in R1.\n", "\n", "\n", - "The first says \"Go forward 2,\" and the second \"Add $\\one$ to R1.\"\n", + "The first says \"Go forward 2,\" and the second \"Add ```1``` to R1.\"\n", "\n", "The first halts, while the second halts improperly." - ], - "metadata": { - "id": "0HV2nGXx89_T" - } + ] }, { "cell_type": "markdown", + "metadata": { + "id": "3QaKbogZ-iks" + }, "source": [ "```{exercise}\n", ":label: on-halting\n", @@ -76,13 +63,13 @@ "\n", "[It would be better to try to solve this problem without running the programs.]\n", "````" - ], - "metadata": { - "id": "3QaKbogZ-iks" - } + ] }, { "cell_type": "markdown", + "metadata": { + "id": "nNMNTP62_Hu-" + }, "source": [ "```{exercise}\n", "{ref}`on-halting` was concerned with programs run on all empty registers. Find a program $p$ and words $w_1$, $w_2$, and $w_3$ so that \n", @@ -93,13 +80,14 @@ "\n", "(c) When started with $w_3$ in R1, $p$ goes into an infinite loop inside $p$.\n", "```" - ], - "metadata": { - "id": "nNMNTP62_Hu-" - } + ] }, { + "attachments": {}, "cell_type": "markdown", + "metadata": { + "id": "Eb0F7IAv_Mim" + }, "source": [ "## Halting: the formal definitions\n", "\n", @@ -111,23 +99,36 @@ "\n", "3. Instruction $n$ of $p$ (the last instruction) is of the form form ```1```$k$```#####```, and at some point in the run of $p$, we reach this last instruction with Rk empty.\n", "\n", - "4. Instruction $n-1$ of $p$ (the next-to-last instruction) is of the form form ```1```$k$```#####```, and at some point in the run of $p$, we reach this instruction with Rk containing a word beginning with $\\one$.\n", + "4. Instruction $n-1$ of $p$ (the next-to-last instruction) is of the form form ```1```$k$```#####```, and at some point in the run of $p$, we reach this instruction with Rk containing a word beginning with ```1```.\n", "\n", - "5. Instruction $n-2$ of $p$ (the second-to-last instruction) is of the form form ```1```$k$```#####```, and at some point in the run of $p$, we reach this instruction with Rk containing a word beginning with $\\hash$.\n" - ], - "metadata": { - "id": "Eb0F7IAv_Mim" - } + "5. Instruction $n-2$ of $p$ (the second-to-last instruction) is of the form form ```1```$k$```#####```, and at some point in the run of $p$, we reach this instruction with Rk containing a word beginning with ```#```.\n" + ] }, { "cell_type": "markdown", + "metadata": { + "id": "F3WqUTegf1w1" + }, "source": [ "Again, these are the formal conditions. Most of the time it is enough to work with the informal conditions that we started with:\n", "a program $p$ *halts* on some inputs if at some point during the execution of $p$ on the inputs, the control transfers to right below the last instruction of $p$. \n" - ], - "metadata": { - "id": "F3WqUTegf1w1" - } + ] } - ] -} \ No newline at end of file + ], + "metadata": { + "colab": { + "authorship_tag": "ABX9TyNdJvBPc4d/BKV6wg71UbKH", + "include_colab_link": true, + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/_build/html/_sources/introOneSharp/instructions.ipynb b/_build/html/_sources/introOneSharp/instructions.ipynb index d5ff229..1a17bf5 100644 --- a/_build/html/_sources/introOneSharp/instructions.ipynb +++ b/_build/html/_sources/introOneSharp/instructions.ipynb @@ -8,15 +8,6 @@ "\"Open" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\"Open" - ] - }, { "cell_type": "markdown", "metadata": { @@ -33,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": { "editable": false, "id": "jxhALRpsNzgr", @@ -41,7 +32,84 @@ "source_hidden": false } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: setuptools in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (75.3.0)\n", + "\u001b[33mWARNING: Error parsing dependencies of pyodbc: Invalid version: '4.0.0-unsupported'\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[31mERROR: Exception:\n", + "Traceback (most recent call last):\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/cli/base_command.py\", line 105, in _run_wrapper\n", + " status = _inner_run()\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/cli/base_command.py\", line 96, in _inner_run\n", + " return self.run(options, args)\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/cli/req_command.py\", line 67, in wrapper\n", + " return func(self, options, args)\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/commands/install.py\", line 483, in run\n", + " installed_versions[distribution.canonical_name] = distribution.version\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/metadata/pkg_resources.py\", line 192, in version\n", + " return parse_version(self._dist.version)\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_vendor/packaging/version.py\", line 56, in parse\n", + " return Version(version)\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_vendor/packaging/version.py\", line 202, in __init__\n", + " raise InvalidVersion(f\"Invalid version: '{version}'\")\n", + "pip._vendor.packaging.version.InvalidVersion: Invalid version: '4.0.0-unsupported'\u001b[0m\u001b[31m\n", + "\u001b[0mCollecting git+https://github.com/lmoss/onesharp.git@main\n", + " Cloning https://github.com/lmoss/onesharp.git (to revision main) to /private/var/folders/kt/458_ttf57hvdmjpsh88m1fzh0000gp/T/pip-req-build-xqv_5hs8\n", + " Running command git clone --filter=blob:none --quiet https://github.com/lmoss/onesharp.git /private/var/folders/kt/458_ttf57hvdmjpsh88m1fzh0000gp/T/pip-req-build-xqv_5hs8\n", + " warning: the following paths have collided (e.g. case-sensitive paths\n", + " on a case-insensitive filesystem) and only one from the same\n", + " colliding group is in the working tree:\n", + "\n", + " 'T_predicate.ipynb'\n", + " 't_predicate.ipynb'\n", + " Resolved https://github.com/lmoss/onesharp.git to commit 9a9a747ecc470393d71852392ea666780450e9c8\n", + " Installing build dependencies ... \u001b[?25ldone\n", + "\u001b[?25h Getting requirements to build wheel ... \u001b[?25ldone\n", + "\u001b[?25h Preparing metadata (pyproject.toml) ... \u001b[?25ldone\n", + "\u001b[?25hRequirement already satisfied: numpy in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from onesharp==0.0.0) (1.23.1)\n", + "Requirement already satisfied: pandas in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from onesharp==0.0.0) (1.1.3)\n", + "Requirement already satisfied: IPython in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from onesharp==0.0.0) (7.19.0)\n", + "Requirement already satisfied: setuptools>=18.5 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (75.3.0)\n", + "Requirement already satisfied: jedi>=0.10 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (0.17.1)\n", + "Requirement already satisfied: decorator in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (4.4.2)\n", + "Requirement already satisfied: pickleshare in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (0.7.5)\n", + "Requirement already satisfied: traitlets>=4.2 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (5.14.3)\n", + "Requirement already satisfied: prompt-toolkit!=3.0.0,!=3.0.1,<3.1.0,>=2.0.0 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (3.0.8)\n", + "Requirement already satisfied: pygments in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (2.18.0)\n", + "Requirement already satisfied: backcall in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (0.2.0)\n", + "Requirement already satisfied: pexpect>4.3 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (4.8.0)\n", + "Requirement already satisfied: appnope in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from IPython->onesharp==0.0.0) (0.1.0)\n", + "Requirement already satisfied: python-dateutil>=2.7.3 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from pandas->onesharp==0.0.0) (2.9.0.post0)\n", + "Requirement already satisfied: pytz>=2017.2 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from pandas->onesharp==0.0.0) (2020.1)\n", + "Requirement already satisfied: parso<0.8.0,>=0.7.0 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from jedi>=0.10->IPython->onesharp==0.0.0) (0.7.0)\n", + "Requirement already satisfied: ptyprocess>=0.5 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from pexpect>4.3->IPython->onesharp==0.0.0) (0.6.0)\n", + "Requirement already satisfied: wcwidth in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from prompt-toolkit!=3.0.0,!=3.0.1,<3.1.0,>=2.0.0->IPython->onesharp==0.0.0) (0.2.5)\n", + "Requirement already satisfied: six>=1.5 in /Users/lsm/opt/anaconda3/lib/python3.8/site-packages (from python-dateutil>=2.7.3->pandas->onesharp==0.0.0) (1.15.0)\n", + "\u001b[33mWARNING: Error parsing dependencies of pyodbc: Invalid version: '4.0.0-unsupported'\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[31mERROR: Exception:\n", + "Traceback (most recent call last):\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/cli/base_command.py\", line 105, in _run_wrapper\n", + " status = _inner_run()\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/cli/base_command.py\", line 96, in _inner_run\n", + " return self.run(options, args)\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/cli/req_command.py\", line 67, in wrapper\n", + " return func(self, options, args)\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/commands/install.py\", line 483, in run\n", + " installed_versions[distribution.canonical_name] = distribution.version\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_internal/metadata/pkg_resources.py\", line 192, in version\n", + " return parse_version(self._dist.version)\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_vendor/packaging/version.py\", line 56, in parse\n", + " return Version(version)\n", + " File \"/Users/lsm/opt/anaconda3/lib/python3.8/site-packages/pip/_vendor/packaging/version.py\", line 202, in __init__\n", + " raise InvalidVersion(f\"Invalid version: '{version}'\")\n", + "pip._vendor.packaging.version.InvalidVersion: Invalid version: '4.0.0-unsupported'\u001b[0m\u001b[31m\n", + "\u001b[0m" + ] + } + ], "source": [ "!python -m pip install -U setuptools\n", "!python -m pip install -U git+https://github.com/lmoss/onesharp.git@main\n", @@ -76,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -88,14 +156,11 @@ "outputs": [ { "data": { - "application/vnd.google.colaboratory.intrinsic+json": { - "type": "string" - }, "text/plain": [ "'#11###111111#'" ] }, - "execution_count": 4, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -170,6 +235,7 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": { "id": "7LZxPKVEcNfX" @@ -180,11 +246,10 @@ "We are going to present the full set of instructions of ```1#```. There are five instruction types. \n", "\n", "```{attention}\n", - "When we use superscripts and write, for example, $1^k #^{\\ell}$ we mean $k$ copies of the symbol ```1``` followed by $\\ell$ copies of the symbol ```#```. For example,\n", + "When we use superscripts and write, for example, ```1^m #^n``` we mean $m$ copies of the symbol ```1``` followed by $n$ copies of the symbol ```#```. For example,\n", "\n", - "```1^15 #^4``` abbreviates ```111111111111111####`````\n", + "```1^15 #^4``` abbreviates ```111111111111111####```\n", "\n", - "We also write this as ```1```^15 ```#1```^4.\n", "```" ] }, @@ -1146,7 +1211,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.8.5" } }, "nbformat": 4, diff --git a/_build/html/genindex.html b/_build/html/genindex.html index 93d3602..63713fb 100644 --- a/_build/html/genindex.html +++ b/_build/html/genindex.html @@ -209,6 +209,12 @@
  1. Primitive Recursion
  2. + +

    Universal Programs

    +

    Self-Writing Programs and the Recursion Theorem

    +

    Universal Programs

    +

    Self-Writing Programs and the Recursion Theorem

    +

    Universal Programs

    +

    Self-Writing Programs and the Recursion Theorem

    +

    Universal Programs

    +

    Self-Writing Programs and the Recursion Theorem

    +

    Universal Programs

    +

    Self-Writing Programs and the Recursion Theorem

    +

    Universal Programs

    +

    Self-Writing Programs and the Recursion Theorem

    +

    Universal Programs

    +

    Self-Writing Programs and the Recursion Theorem