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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Combinator Logic Playground</title>
<script src="https://cdn.tailwindcss.com"></script>
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css">
<style>
.combinator {
transition: all 0.2s ease;
}
.combinator.dragging {
opacity: 0.5;
transform: scale(1.1);
}
.drop-zone {
min-height: 100px;
transition: all 0.2s ease;
}
.drop-zone.highlight {
background-color: rgba(147, 197, 253, 0.3);
border-color: #3b82f6;
}
.expression-item {
position: relative;
}
.expression-item:hover .remove-btn {
opacity: 1;
}
.remove-btn {
opacity: 0;
transition: opacity 0.2s;
position: absolute;
top: -8px;
right: -8px;
width: 20px;
height: 20px;
border-radius: 50%;
background-color: #ef4444;
color: white;
display: flex;
align-items: center;
justify-content: center;
font-size: 10px;
cursor: pointer;
}
@keyframes pulse {
0%, 100% { transform: scale(1); }
50% { transform: scale(1.05); }
}
.reduction-step {
animation: pulse 0.5s ease;
}
</style>
</head>
<body class="bg-gray-50 min-h-screen">
<div class="container mx-auto px-4 py-8">
<header class="mb-8 text-center">
<h1 class="text-3xl font-bold text-blue-600 mb-2">Combinator Logic Playground</h1>
<p class="text-gray-600">Drag and drop combinators to form expressions and reduce them</p>
</header>
<div class="grid grid-cols-1 lg:grid-cols-3 gap-6">
<!-- Combinator Palette -->
<div class="bg-white rounded-lg shadow-md p-4">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-shapes mr-2 text-blue-500"></i> Combinators
</h2>
<div class="grid grid-cols-2 gap-3">
<div class="combinator bg-blue-100 text-blue-800 py-3 px-4 rounded-lg cursor-move flex items-center justify-center font-mono font-bold"
draggable="true" data-type="S">
<span>S</span>
</div>
<div class="combinator bg-green-100 text-green-800 py-3 px-4 rounded-lg cursor-move flex items-center justify-center font-mono font-bold"
draggable="true" data-type="K">
<span>K</span>
</div>
<div class="combinator bg-purple-100 text-purple-800 py-3 px-4 rounded-lg cursor-move flex items-center justify-center font-mono font-bold"
draggable="true" data-type="I">
<span>I</span>
</div>
<div class="combinator bg-yellow-100 text-yellow-800 py-3 px-4 rounded-lg cursor-move flex items-center justify-center font-mono font-bold"
draggable="true" data-type="B">
<span>B</span>
</div>
<div class="combinator bg-red-100 text-red-800 py-3 px-4 rounded-lg cursor-move flex items-center justify-center font-mono font-bold"
draggable="true" data-type="C">
<span>C</span>
</div>
<div class="combinator bg-indigo-100 text-indigo-800 py-3 px-4 rounded-lg cursor-move flex items-center justify-center font-mono font-bold"
draggable="true" data-type="W">
<span>W</span>
</div>
</div>
<div class="mt-4">
<div class="combinator bg-gray-200 text-gray-800 py-2 px-3 rounded-lg cursor-move flex items-center justify-center font-mono text-sm"
draggable="true" data-type="variable">
<span>Variable (drag to edit)</span>
</div>
</div>
</div>
<!-- Workspace -->
<div class="bg-white rounded-lg shadow-md p-4">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-edit mr-2 text-blue-500"></i> Workspace
</h2>
<div id="expression-container" class="drop-zone border-2 border-dashed border-gray-300 rounded-lg p-4 mb-4 min-h-32">
<p class="text-gray-400 text-center py-8" id="empty-message">Drag combinators here to build your expression</p>
<div class="flex flex-wrap gap-2" id="expression-items"></div>
</div>
<div class="flex flex-wrap gap-2">
<button id="reduce-btn" class="bg-blue-500 hover:bg-blue-600 text-white px-4 py-2 rounded-lg flex items-center disabled:opacity-50" disabled>
<i class="fas fa-play mr-2"></i> Reduce
</button>
<button id="reset-btn" class="bg-gray-500 hover:bg-gray-600 text-white px-4 py-2 rounded-lg flex items-center">
<i class="fas fa-redo mr-2"></i> Reset
</button>
<button id="add-parens-btn" class="bg-purple-500 hover:bg-purple-600 text-white px-4 py-2 rounded-lg flex items-center">
<i class="fas fa-parentheses mr-2"></i> Add Parentheses
</button>
</div>
</div>
<!-- Reduction Steps -->
<div class="bg-white rounded-lg shadow-md p-4">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-list-ol mr-2 text-blue-500"></i> Reduction Steps
</h2>
<div id="reduction-steps" class="space-y-2 max-h-96 overflow-y-auto p-2">
<p class="text-gray-400 text-center py-8">Your reduction steps will appear here</p>
</div>
</div>
</div>
<!-- Help Section -->
<div class="mt-8 bg-white rounded-lg shadow-md p-4">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-question-circle mr-2 text-blue-500"></i> Combinator Definitions
</h2>
<div class="grid grid-cols-1 md:grid-cols-2 lg:grid-cols-3 gap-4">
<div class="bg-blue-50 p-3 rounded-lg">
<h3 class="font-mono font-bold text-blue-800">S x y z = x z (y z)</h3>
<p class="text-gray-600 text-sm">Substitution combinator</p>
</div>
<div class="bg-green-50 p-3 rounded-lg">
<h3 class="font-mono font-bold text-green-800">K x y = x</h3>
<p class="text-gray-600 text-sm">Constant combinator</p>
</div>
<div class="bg-purple-50 p-3 rounded-lg">
<h3 class="font-mono font-bold text-purple-800">I x = x</h3>
<p class="text-gray-600 text-sm">Identity combinator</p>
</div>
<div class="bg-yellow-50 p-3 rounded-lg">
<h3 class="font-mono font-bold text-yellow-800">B x y z = x (y z)</h3>
<p class="text-gray-600 text-sm">Composition combinator</p>
</div>
<div class="bg-red-50 p-3 rounded-lg">
<h3 class="font-mono font-bold text-red-800">C x y z = x z y</h3>
<p class="text-gray-600 text-sm">Swap combinator</p>
</div>
<div class="bg-indigo-50 p-3 rounded-lg">
<h3 class="font-mono font-bold text-indigo-800">W x y = x y y</h3>
<p class="text-gray-600 text-sm">Duplication combinator</p>
</div>
</div>
</div>
</div>
<script>
document.addEventListener('DOMContentLoaded', function() {
// DOM elements
const expressionContainer = document.getElementById('expression-container');
const expressionItems = document.getElementById('expression-items');
const emptyMessage = document.getElementById('empty-message');
const reduceBtn = document.getElementById('reduce-btn');
const resetBtn = document.getElementById('reset-btn');
const addParensBtn = document.getElementById('add-parens-btn');
const reductionSteps = document.getElementById('reduction-steps');
// Store the current expression and reduction steps
let currentExpression = [];
let steps = [];
// Add drag events to all combinators
document.querySelectorAll('.combinator').forEach(combinator => {
combinator.addEventListener('dragstart', dragStart);
});
// Setup drop zones
expressionContainer.addEventListener('dragover', dragOver);
expressionContainer.addEventListener('dragleave', dragLeave);
expressionContainer.addEventListener('drop', drop);
// Button events
reduceBtn.addEventListener('click', reduceExpression);
resetBtn.addEventListener('click', resetWorkspace);
addParensBtn.addEventListener('click', addParentheses);
// Drag start handler
function dragStart(e) {
this.classList.add('dragging');
e.dataTransfer.setData('text/plain', this.dataset.type);
e.dataTransfer.effectAllowed = 'move';
}
// Drag over handler
function dragOver(e) {
e.preventDefault();
this.classList.add('highlight');
e.dataTransfer.dropEffect = 'move';
}
// Drag leave handler
function dragLeave() {
this.classList.remove('highlight');
}
// Drop handler
function drop(e) {
e.preventDefault();
this.classList.remove('highlight');
const combinatorType = e.dataTransfer.getData('text/plain');
addCombinatorToExpression(combinatorType);
}
// Add combinator to expression
function addCombinatorToExpression(type, isParens = false) {
// Hide empty message if this is the first item
if (currentExpression.length === 0) {
emptyMessage.style.display = 'none';
reduceBtn.disabled = false;
}
// Create a unique ID for this combinator
const id = Date.now().toString(36) + Math.random().toString(36).substr(2);
// Add to current expression
currentExpression.push({
id,
type,
isParens
});
// Update the UI
updateExpressionUI();
}
// Update the expression UI
function updateExpressionUI() {
expressionItems.innerHTML = '';
currentExpression.forEach((item, index) => {
const itemEl = document.createElement('div');
itemEl.className = 'expression-item';
itemEl.dataset.id = item.id;
let bgColor, textColor;
if (item.isParens) {
itemEl.className += ' cursor-default';
itemEl.innerHTML = '(';
} else {
itemEl.className += ' cursor-move';
itemEl.draggable = true;
itemEl.addEventListener('dragstart', dragStart);
switch(item.type) {
case 'S':
bgColor = 'bg-blue-100';
textColor = 'text-blue-800';
break;
case 'K':
bgColor = 'bg-green-100';
textColor = 'text-green-800';
break;
case 'I':
bgColor = 'bg-purple-100';
textColor = 'text-purple-800';
break;
case 'B':
bgColor = 'bg-yellow-100';
textColor = 'text-yellow-800';
break;
case 'C':
bgColor = 'bg-red-100';
textColor = 'text-red-800';
break;
case 'W':
bgColor = 'bg-indigo-100';
textColor = 'text-indigo-800';
break;
case 'variable':
bgColor = 'bg-gray-200';
textColor = 'text-gray-800';
break;
}
itemEl.className += ` ${bgColor} ${textColor} py-2 px-3 rounded-lg font-mono font-bold`;
itemEl.textContent = item.type === 'variable' ? 'x' : item.type;
// Add remove button
const removeBtn = document.createElement('span');
removeBtn.className = 'remove-btn';
removeBtn.innerHTML = '<i class="fas fa-times"></i>';
removeBtn.addEventListener('click', (e) => {
e.stopPropagation();
removeCombinator(item.id);
});
itemEl.appendChild(removeBtn);
}
expressionItems.appendChild(itemEl);
});
}
// Remove combinator from expression
function removeCombinator(id) {
currentExpression = currentExpression.filter(item => item.id !== id);
if (currentExpression.length === 0) {
emptyMessage.style.display = 'block';
reduceBtn.disabled = true;
}
updateExpressionUI();
}
// Add parentheses to expression
function addParentheses() {
if (currentExpression.length === 0) return;
// Add opening parenthesis
addCombinatorToExpression('(', true);
// Add closing parenthesis at the end
setTimeout(() => {
addCombinatorToExpression(')', true);
}, 0);
}
// Reset workspace
function resetWorkspace() {
currentExpression = [];
steps = [];
reductionSteps.innerHTML = '<p class="text-gray-400 text-center py-8">Your reduction steps will appear here</p>';
emptyMessage.style.display = 'block';
reduceBtn.disabled = true;
updateExpressionUI();
}
// Reduce expression
function reduceExpression() {
if (currentExpression.length === 0) return;
// Clear previous steps
steps = [];
reductionSteps.innerHTML = '';
// Get the current expression as a string
let expr = currentExpression.map(item => {
if (item.isParens) {
return item.type === '(' ? '(' : ')';
}
return item.type === 'variable' ? 'x' : item.type;
}).join(' ');
// Add initial expression to steps
addReductionStep(expr, 'Initial expression');
// Simple reduction logic (this is a simplified version)
// In a real implementation, you'd need a proper reduction algorithm
let reduced = false;
// Try to find reducible expressions
for (let i = 0; i < expr.length - 2; i++) {
const subExpr = expr.substr(i, 3);
// Check for K combinator pattern: K x y → x
if (subExpr.startsWith('K ') && expr[i+2] !== ' ' && expr[i+3] !== ' ') {
const before = expr.substring(0, i);
const after = expr.substring(i + 4);
expr = before + expr[i+2] + after;
addReductionStep(expr, 'Applied K combinator: K x y → x');
reduced = true;
break;
}
// Check for I combinator pattern: I x → x
if (subExpr.startsWith('I ') && expr[i+2] !== ' ') {
const before = expr.substring(0, i);
const after = expr.substring(i + 3);
expr = before + expr[i+2] + after;
addReductionStep(expr, 'Applied I combinator: I x → x');
reduced = true;
break;
}
}
if (!reduced) {
addReductionStep(expr, 'No further reductions possible', true);
}
}
// Add a reduction step to the UI
function addReductionStep(expression, explanation, isFinal = false) {
const stepEl = document.createElement('div');
stepEl.className = `bg-gray-50 p-3 rounded-lg mb-2 reduction-step ${isFinal ? 'border-l-4 border-blue-500' : ''}`;
const exprEl = document.createElement('div');
exprEl.className = 'font-mono text-lg mb-1';
exprEl.textContent = expression;
const explanationEl = document.createElement('div');
explanationEl.className = 'text-sm text-gray-600';
explanationEl.textContent = explanation;
stepEl.appendChild(exprEl);
stepEl.appendChild(explanationEl);
reductionSteps.appendChild(stepEl);
stepEl.scrollIntoView({ behavior: 'smooth' });
}
});
</script>
<p style="border-radius: 8px; text-align: center; font-size: 12px; color: #fff; margin-top: 16px;position: fixed; left: 8px; bottom: 8px; z-index: 10; background: rgba(0, 0, 0, 0.8); padding: 4px 8px;">Made with <img src="https://enzostvs-deepsite.hf.space/logo.svg" alt="DeepSite Logo" style="width: 16px; height: 16px; vertical-align: middle;display:inline-block;margin-right:3px;filter:brightness(0) invert(1);"><a href="https://enzostvs-deepsite.hf.space" style="color: #fff;text-decoration: underline;" target="_blank" >DeepSite</a> - 🧬 <a href="https://enzostvs-deepsite.hf.space?remix=MarcdeFalco/combinators" style="color: #fff;text-decoration: underline;" target="_blank" >Remix</a></p></body>
</html> |