diff --git a/Logbook.md b/Logbook.md index fed50dc27..d586efe84 100644 --- a/Logbook.md +++ b/Logbook.md @@ -1,5 +1,16 @@ # Leios logbook +## 2025-10-11 + +### Parameter-sweep experiment for Markovian model + +We completed the first set of experiments using the [Markovian model for Leios efficiency](analysis/markov/). + +| | | +|---|---| +| ![Committee and quorum without adversary](analysis/markov/experiments/Committee%20and%20quorum%20without%20adversary.svg) | ![Ideal conditions with adversary](analysis/markov/experiments/Ideal%20conditions%20with%20adversary.svg) | +| ![Non-ideal network without adversary](analysis/markov/experiments/Non-ideal%20network%20without%20adversary.svg) | ![Protocol parameters without adversary](analysis/markov/experiments/Protocol%20parameters%20without%20adversary.svg) | + ## 2025-10-10 ### Extended analysis of ledger operations diff --git a/analysis/markov/.gitignore b/analysis/markov/.gitignore index bfb30ec8c..ce2dc4ecb 100644 --- a/analysis/markov/.gitignore +++ b/analysis/markov/.gitignore @@ -1 +1,4 @@ /.lake +.ipynb_checkpoints/ +experiments/*.csv.gz +experiments/*.png diff --git a/analysis/markov/Linleios/Evolve.lean b/analysis/markov/Linleios/Evolve.lean index 498207ca6..149591076 100644 --- a/analysis/markov/Linleios/Evolve.lean +++ b/analysis/markov/Linleios/Evolve.lean @@ -118,5 +118,7 @@ def ebEfficiency (states : Probabilities) : Float := def efficiency (states : Probabilities) : Float := let rb := rbEfficiency states let eb := ebEfficiency states - let ρ := 12.5 / 0.9 - (rb + ρ * eb) / (1 + ρ) + let rbSize := 0.9 + let ebSize := 12.0 + let ρ := ebSize / rbSize + (rb * (1 - eb) + ρ * eb) / (1 + ρ) diff --git a/analysis/markov/experiments.ipynb b/analysis/markov/experiments.ipynb new file mode 100644 index 000000000..9d9444987 --- /dev/null +++ b/analysis/markov/experiments.ipynb @@ -0,0 +1,555 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "20e1dc3e-39b3-49d3-b768-52ef48e05a8f", + "metadata": {}, + "source": [ + "# Markovian-model experiments" + ] + }, + { + "cell_type": "markdown", + "id": "97fb6d16-d25b-47dc-9ebe-2b5582cd1740", + "metadata": {}, + "source": [ + "See [ReadMe.md](./ReadMe.md) for details of the Markovian model." + ] + }, + { + "cell_type": "markdown", + "id": "3ec2e03d-e99b-4a93-be22-a16db8e7973f", + "metadata": {}, + "source": [ + "## Set up" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "d038277b-1446-40a4-99c7-df9fae2ff055", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "suppressMessages({\n", + " require(RColorBrewer, quietly=TRUE)\n", + " require(data.table, quietly=TRUE)\n", + " require(ggplot2, quietly=TRUE)\n", + " require(magrittr, quietly=TRUE)\n", + "})" + ] + }, + { + "cell_type": "markdown", + "id": "0cbfdec9-1387-4dac-b976-47a8bc894b24", + "metadata": {}, + "source": [ + "## Experiment group 1: parameter sweep" + ] + }, + { + "cell_type": "markdown", + "id": "47f14673-9c42-42b1-bd49-2e2239f53677", + "metadata": {}, + "source": [ + "### Experimental design" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "79797483-bf8a-49af-9453-0f7121f360d7", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "#!/usr/bin/env bash\n", + "\n", + "cd \"$(dirname \"${BASH_SOURCE[0]}\")\"\n", + "\n", + "EXE=\"../.lake/build/bin/linleios\"\n", + "\n", + "\n", + "function setDefaults {\n", + " Label=\"NA\"\n", + " Lhdr=1\n", + " Lvote=4\n", + " Ldiff=7\n", + " Committee=600\n", + " Quorum=0.75\n", + " Validates=1\n", + " Late=0\n", + " Adversary=0\n", + "}\n", + "\n", + "function runModel {\n", + " \"$EXE\" --l-header $Lhdr \\\n", + " --l-vote $Lvote \\\n", + " --l-diff $Ldiff \\\n", + " --committee-size $Committee \\\n", + " --quorum-fraction $Quorum \\\n", + " --p-rb-header-arrives 1 \\\n", + " --p-eb-validates $Validates \\\n", + " --p-late-diffusion $Late \\\n", + " --adversary-fraction $Adversary \\\n", + " 2> /dev/null \\\n", + " | yaml2json \\\n", + " | jq -r '\"'\"$Label,$Lhdr,$Lvote,$Ldiff,$Committee,$Quorum,$Validates,$Late,$Adversary,\"'\" + (.\"EB efficiency\" | tostring)'\n", + "}\n", + "\n", + "\n", + "(\n", + "\n", + "echo $'Label,L_hdr,L_vote,L_diff,Committee size,Quorum fraction,Probability of EB validation,Probability of late diffusion,Adversary fraction,EB efficiency'\n", + "\n", + "setDefaults\n", + "Label=\"Ideal conditions with adversary\"\n", + "for Adversary in $(seq 0.00 0.01 0.35)\n", + "do\n", + " runModel\n", + "done\n", + "\n", + "setDefaults\n", + "Label=\"Non-ideal network without adversary\"\n", + "for Validates in $(seq 0.60 0.02 1.00)\n", + "do\n", + " for Late in $(seq 0.00 0.02 1.00)\n", + " do\n", + " runModel\n", + " done\n", + "done\n", + "\n", + "setDefaults\n", + "Label=\"Committee and quorum without adversary\"\n", + "for Committee in $(seq 500 50 1000)\n", + "do\n", + " for Quorum in $(seq 0.50 0.02 1.00)\n", + " do\n", + " runModel\n", + " done\n", + "done\n", + "\n", + "setDefaults\n", + "Label=\"Protocol parameters without adversary\"\n", + "for Lhdr in 1 2\n", + "do\n", + " for Lvote in 3 4 5\n", + " do\n", + " for Ldiff in 4 5 6 7 8\n", + " do\n", + " runModel\n", + " done\n", + " done\n", + "done\n", + "\n", + ") | gzip -9c > parameter-sweep.csv.gz\n" + ] + } + ], + "source": [ + "cat(readLines(\"experiments/parameter-sweep.sh\", warn=FALSE), sep=\"\\n\")" + ] + }, + { + "cell_type": "markdown", + "id": "5c3b1665-62c1-44b0-8566-54a8dc4559ef", + "metadata": {}, + "source": [ + "### Read results" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a5dd840d-1a31-420a-9b00-05f4f2f1ac38", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + " Label L_hdr L_vote \n", + " Committee and quorum without adversary: 286 Min. :1.000 Min. :3 \n", + " Ideal conditions with adversary : 36 1st Qu.:1.000 1st Qu.:4 \n", + " Non-ideal network without adversary :1071 Median :1.000 Median :4 \n", + " Protocol parameters without adversary : 30 Mean :1.011 Mean :4 \n", + " 3rd Qu.:1.000 3rd Qu.:4 \n", + " Max. :2.000 Max. :5 \n", + " L_diff Committee size Quorum fraction Probability of EB validation\n", + " Min. :4.000 Min. : 500.0 Min. :0.50 Min. :0.6000 \n", + " 1st Qu.:7.000 1st Qu.: 600.0 1st Qu.:0.75 1st Qu.:0.7200 \n", + " Median :7.000 Median : 600.0 Median :0.75 Median :0.8600 \n", + " Mean :6.979 Mean : 630.1 Mean :0.75 Mean :0.8495 \n", + " 3rd Qu.:7.000 3rd Qu.: 600.0 3rd Qu.:0.75 3rd Qu.:1.0000 \n", + " Max. :8.000 Max. :1000.0 Max. :1.00 Max. :1.0000 \n", + " Probability of late diffusion Adversary fraction EB efficiency \n", + " Min. :0.0000 Min. :0.000000 Min. :0.00000 \n", + " 1st Qu.:0.0000 1st Qu.:0.000000 1st Qu.:0.00574 \n", + " Median :0.3400 Median :0.000000 Median :0.24024 \n", + " Mean :0.3763 Mean :0.004427 Mean :0.24122 \n", + " 3rd Qu.:0.6800 3rd Qu.:0.000000 3rd Qu.:0.43531 \n", + " Max. :1.0000 Max. :0.350000 Max. :0.63025 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "parameterSweep <- fread(\"experiments/parameter-sweep.csv.gz\", stringsAsFactors=TRUE)\n", + "parameterSweep %>% summary" + ] + }, + { + "cell_type": "markdown", + "id": "ddfe3fcb-173e-46bf-bb9f-df2e4b0f0a6e", + "metadata": {}, + "source": [ + "### Protocol parameters, without an adversary" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "19d78a95-ce32-4cd0-afc3-aebb795bf952", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "label <- \"Protocol parameters without adversary\"" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ed0aacbb-a390-4eb7-899e-e3dc99f87e58", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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USiu38pOXc5jUXyTXtw8ORqc3h2tkZu+NmrIpUfG1vX6Xw5qopIfsuvy3bUEKm0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\n/wEwW3VS/vd/QgAAAABJRU5ErkJggg==", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " parameterSweep[\n", + " `Label` == label,\n", + " .(\n", + " `L_hdr`=factor(paste(\"L_hdr =\", `L_hdr`)),\n", + " `L_vote`=factor(paste(\"L_vote =\", `L_vote`)),\n", + " `L_diff`,\n", + " `EB efficiency`\n", + " )\n", + " ],\n", + " aes(x=`L_diff`, y=`EB efficiency`)\n", + ") +\n", + " geom_point() +\n", + " geom_line() +\n", + " facet_grid(`L_hdr` ~ `L_vote`) +\n", + " ggtitle(label)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "5da4dc80-3506-4fc4-997b-68f9c037474d", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(paste0(\"experiments/\", label, \".png\"), units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "b23a123b-d492-4d18-aaf6-501d7aae143a", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(paste0(\"experiments/\", label, \".svg\"), units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "561f0810-7f2d-4213-a27a-016062f1ed66", + "metadata": {}, + "source": [ + "### Non-ideal network, without adversary" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "9860e012-63de-4df1-bc79-5aa6d420b132", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "label <- \"Non-ideal network without adversary\"" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "017e4ada-caf6-41fc-b79c-5e07f781c3ef", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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z4YMGBAv379hBCXLl3q37+/+b8CcDRSHQDUR84Idjk5Obdv3+7WrZu02bVr14qK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\nCCHsAABCCDsAgBDCDgAgxAe+KVeaIMRR4QAAAABJRU5ErkJggg==", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " parameterSweep[\n", + " `Label` == label\n", + " ],\n", + " aes(x=`Probability of EB validation`, y=`Probability of late diffusion`, z=`EB efficiency`)\n", + ") +\n", + " geom_contour_filled() +\n", + " guides(fill = guide_legend(title = \"EB efficiency\")) +\n", + " ggtitle(label)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "356a1173-ee05-441c-82c4-04cdef1cd046", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(paste0(\"experiments/\", label, \".png\"), units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "1962603e-adf3-4231-8268-f507368f4395", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(paste0(\"experiments/\", label, \".svg\"), units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "684f9824-5a58-4a08-98af-63a6fe5dd4b1", + "metadata": {}, + "source": [ + "### Ideal conditions, with adversary" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "62e52cfe-cfd8-4f01-a269-366140928429", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "label <- \"Ideal conditions with adversary\"" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "ce297a53-8f47-4cee-9428-51545c69de6c", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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Ejy0UOk0hxrR2XTaXNU1dBmf0Ak+eglUiCwuLe6t0ra7A+IJB/dRAoEXlf2Vkmb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\nNrWnINc5rQGRFOCrBkw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ta/59kbGjQ9\nZlaZSKwlXVS23nKRIkY+n3H6xAkNmv7GZtDdn4eWflDpuHsmtAx9/A2RJAGR0sGd9K45sZ7O\nYuzFs2ue9uSiHsZz1BD6d2j+z5c3rX2eceY5s9Pzr2iSc+zwXxhb2aNW86s2fn3B8HKR7qBZ\nZeuNeI9UPpJ9dGGdJnnBBb93q3ajuXTxnxo06Lm0bPXXtU5FaL2BSF5nZBV8L8EFQCSPs6dO\n/3RvAmAQyeOU3H42fZbujQAMInmc4mYn/Cvd2wAMIBIAEoBIAEgAIgEgAYgEgAQgEgASgEgA\nSAAiASABiASABCASABKASABI4P8BY+gTy6ZO30gAAAAASUVORK5CYII=", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " parameterSweep[\n", + " `Label` == label\n", + " ],\n", + " aes(x=`Adversary fraction`, y=`EB efficiency`)\n", + ") +\n", + " geom_point() +\n", + " geom_line() +\n", + " ggtitle(label)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d726fd28-997b-4cc6-b499-7998b0bcfaf6", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(paste0(\"experiments/\", label, \".png\"), units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "b4957b2e-1018-4981-a2f4-f7c84924c106", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(paste0(\"experiments/\", label, \".svg\"), units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "markdown", + "id": "9ef76a6c-8656-4ed4-8fdc-8ae7916ce1ec", + "metadata": {}, + "source": [ + "### Committee and quorum, without adversary" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "8cda9210-5cbb-4ae2-8cba-82c67e5222d6", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "label <- \"Committee and quorum without adversary\"" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "36cfb535-f1ef-46dd-b127-a2d613f139ca", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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dxqzDGlO54HcMAyKAAA4Dowxs4JEN28igNG3Vkdcscy3g6rnwAAeABU7OwO/aru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169e///770ufw8PDi4mLF26nA8i0AQOfJ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\nwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAo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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 420, + "width": 420 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ggplot(\n", + " parameterSweep[\n", + " `Label` == label\n", + " ],\n", + " aes(x=`Committee size`, y=`Quorum fraction`, z=`EB efficiency`)\n", + ") +\n", + " geom_contour_filled() +\n", + " guides(fill = guide_legend(title = \"EB efficiency\")) +\n", + " ggtitle(label)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "7340a57b-ea46-480c-adbf-149fac506ee8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(paste0(\"experiments/\", label, \".png\"), units=\"in\", dpi=150, width=8, height=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "ebeded55-1d7d-46c9-801b-c59a2c2fa77e", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "ggsave(paste0(\"experiments/\", label, \".svg\"), units=\"in\", dpi=150, width=8, height=6)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "r-minimal kernel", + "language": "r", + "name": "r-minimal" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/analysis/markov/experiments/Committee and quorum without adversary.svg b/analysis/markov/experiments/Committee and quorum without adversary.svg new file mode 100644 index 000000000..6119b2995 --- /dev/null +++ b/analysis/markov/experiments/Committee and quorum without adversary.svg @@ -0,0 +1,131 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +0.5 +0.6 +0.7 +0.8 +0.9 +1.0 + + + + + + + + + + + + +500 +600 +700 +800 +900 +1000 +Committee size +Quorum fraction + +EB efficiency + + + + + + + + + + + + + + + + + + + + + + +(0.00, 0.05] +(0.05, 0.10] +(0.10, 0.15] +(0.15, 0.20] +(0.20, 0.25] +(0.25, 0.30] +(0.30, 0.35] +(0.35, 0.40] +(0.40, 0.45] +(0.45, 0.50] +(0.50, 0.55] +Committee and quorum without adversary + + diff --git a/analysis/markov/experiments/Ideal conditions with adversary.svg b/analysis/markov/experiments/Ideal conditions with adversary.svg new file mode 100644 index 000000000..a62588f0f --- /dev/null +++ b/analysis/markov/experiments/Ideal conditions with adversary.svg @@ -0,0 +1,115 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +0.0 +0.1 +0.2 +0.3 +0.4 +0.5 + + + + + + + + + + +0.0 +0.1 +0.2 +0.3 +Adversary fraction +EB efficiency +Ideal conditions with adversary + + diff --git a/analysis/markov/experiments/Non-ideal network without adversary.svg b/analysis/markov/experiments/Non-ideal network without adversary.svg new file mode 100644 index 000000000..2872b879f --- /dev/null +++ b/analysis/markov/experiments/Non-ideal network without adversary.svg @@ -0,0 +1,123 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +0.00 +0.25 +0.50 +0.75 +1.00 + + + + + + + + + + +0.6 +0.7 +0.8 +0.9 +1.0 +Probability of EB validation +Probability of late diffusion + +EB efficiency + + + + + + + + + + + + + + + + + + + + + + +(0.00, 0.05] +(0.05, 0.10] +(0.10, 0.15] +(0.15, 0.20] +(0.20, 0.25] +(0.25, 0.30] +(0.30, 0.35] +(0.35, 0.40] +(0.40, 0.45] +(0.45, 0.50] +(0.50, 0.55] +Non-ideal network without adversary + + diff --git a/analysis/markov/experiments/Protocol parameters without adversary.svg b/analysis/markov/experiments/Protocol parameters without adversary.svg new file mode 100644 index 000000000..d3c2dddb5 --- /dev/null +++ b/analysis/markov/experiments/Protocol parameters without adversary.svg @@ -0,0 +1,344 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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+EXE="../.lake/build/bin/linleios" + + +function setDefaults { + Label="NA" + Lhdr=1 + Lvote=4 + Ldiff=7 + Committee=600 + Quorum=0.75 + Validates=1 + Late=0 + Adversary=0 +} + +function runModel { + "$EXE" --l-header $Lhdr \ + --l-vote $Lvote \ + --l-diff $Ldiff \ + --committee-size $Committee \ + --quorum-fraction $Quorum \ + --p-rb-header-arrives 1 \ + --p-eb-validates $Validates \ + --p-late-diffusion $Late \ + --adversary-fraction $Adversary \ + 2> /dev/null \ + | yaml2json \ + | jq -r '"'"$Label,$Lhdr,$Lvote,$Ldiff,$Committee,$Quorum,$Validates,$Late,$Adversary,"'" + (."EB efficiency" | tostring)' +} + + +( + +echo $'Label,L_hdr,L_vote,L_diff,Committee size,Quorum fraction,Probability of EB validation,Probability of late diffusion,Adversary fraction,EB efficiency' + +setDefaults +Label="Ideal conditions with adversary" +for Adversary in $(seq 0.00 0.01 0.35) +do + runModel +done + +setDefaults +Label="Non-ideal network without adversary" +for Validates in $(seq 0.60 0.02 1.00) +do + for Late in $(seq 0.00 0.02 1.00) + do + runModel + done +done + +setDefaults +Label="Committee and quorum without adversary" +for Committee in $(seq 500 50 1000) +do + for Quorum in $(seq 0.50 0.02 1.00) + do + runModel + done +done + +setDefaults +Label="Protocol parameters without adversary" +for Lhdr in 1 2 +do + for Lvote in 3 4 5 + do + for Ldiff in 4 5 6 7 8 + do + runModel + done + done +done + +) | gzip -9c > parameter-sweep.csv.gz diff --git a/analysis/markov/shell.nix b/analysis/markov/shell.nix new file mode 100644 index 000000000..342c9b3d9 --- /dev/null +++ b/analysis/markov/shell.nix @@ -0,0 +1,12 @@ +{ pkgs ? import {} }: + +pkgs.mkShell { + buildInputs = with pkgs; [ + lean4 + elan + vscode + ]; + shellHook = '' + echo "Entering Nix shell with Lean 4, Elan, and VS Code..." + ''; +}