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# Universal Symbolics Runtime
<div align="center">
<h2>π The Multi-Model Symbolic Runtime Engine π</h2>
<p><i>Universal symbolic control layer for all LLM environments</i></p>
</div>
## 1. Core Runtime Architecture
The Universal Symbolics Runtime provides a standardized layer for symbolic operations across all LLM platforms, ensuring compatibility, consistency, and developer ergonomics.
```mermaid
graph TD
A[Developer Interface] --> B[Universal Symbolics API]
B --> C[Symbolic Compiler]
C --> D[Grammar Transformers]
D --> E1[Claude XML]
D --> E2[GPT Function Calls]
D --> E3[Qwen Slash Commands]
D --> E4[Gemini SystemInst]
D --> E5[Mistral Functions]
D --> E6[Universal Fallbacks]
F[Runtime Telemetry] --> B
G[Model Detector] --> C
H[Capability Probe] --> C
I[Symbolic Residue Parser] --> C
```
## 2. Minimal Viable Symbolics
After extensive cross-vendor analysis, we've identified the following minimal viable symbolic primitives required for universal compatibility:
```yaml
# symbolics-core.yml
runtime:
version: "1.0.0"
core_primitives:
- id: "think"
purpose: "Explicit reasoning instruction"
universal_symbol: "π§ /"
runtime_symbol: "π"
vendors:
claude: "<think>...</think>"
openai: "tool_choice: 'thinking'"
qwen: "/think"
gemini: "$think"
mistral: "function: think()"
fallback: "# Thinking:\n"
- id: "trace"
purpose: "Process tracing"
universal_symbol: "π/"
runtime_symbol: "β΄"
vendors:
claude: "<trace>...</trace>"
openai: "tool_choice: 'trace'"
qwen: "/trace"
gemini: "$trace"
mistral: "function: trace()"
fallback: "# Tracing:\n"
- id: "reflect"
purpose: "Self-examination"
universal_symbol: "π/"
runtime_symbol: "β»"
vendors:
claude: "<reflect>...</reflect>"
openai: "tool_choice: 'reflect'"
qwen: "/reflect"
gemini: "$reflect"
mistral: "function: reflect()"
fallback: "# Reflecting:\n"
- id: "fork"
purpose: "Parallel processing paths"
universal_symbol: "π±/"
runtime_symbol: "β¦Ώ"
vendors:
claude: "<fork>...</fork>"
openai: "tool_choice: 'fork'"
qwen: "/fork"
gemini: "$fork"
mistral: "function: fork()"
fallback: "# Path exploration:\n"
- id: "collapse"
purpose: "Error handling"
universal_symbol: "β οΈ/"
runtime_symbol: "β"
vendors:
claude: "<collapse>...</collapse>"
openai: "tool_choice: 'collapse'"
qwen: "/collapse"
gemini: "$collapse"
mistral: "function: collapse()"
fallback: "# Error handling:\n"
```
## 3. Grammar Transformation Engine
The Grammar Transformation Engine is the core component that converts between universal and vendor-specific symbolic formats:
```typescript
// universal-symbolics/src/transformers/grammar.ts
export class GrammarTransformer {
private modelDetector: ModelDetector;
private symbolRegistry: SymbolRegistry;
private capabilityProbe: CapabilityProbe;
constructor(options: TransformerOptions = {}) {
this.modelDetector = new ModelDetector();
this.symbolRegistry = new SymbolRegistry();
this.capabilityProbe = new CapabilityProbe(options.probeEnabled ?? true);
}
/**
* Transform universal symbolic syntax to vendor-specific format
*/
async toVendorFormat(
input: string,
vendorType: VendorType | 'auto' = 'auto',
options: TransformOptions = {}
): Promise<string> {
// Auto-detect vendor if not specified
const vendor = vendorType === 'auto'
? await this.modelDetector.detectVendor(input)
: vendorType;
// Extract symbolic operations from input
const operations = this.extractSymbolicOperations(input);
// Probe vendor capabilities if enabled
if (options.probeCapabilities !== false) {
await this.capabilityProbe.probeVendor(vendor);
}
// Transform each operation to vendor format
for (const op of operations) {
const vendorSyntax = this.symbolRegistry.getVendorSyntax(op.symbol, vendor);
input = this.replaceSymbol(input, op, vendorSyntax, vendor);
}
// Apply vendor-specific post-processing
return this.applyVendorPostProcessing(input, vendor);
}
/**
* Transform vendor-specific format to universal symbolic syntax
*/
toUniversalFormat(
input: string,
vendorType: VendorType | 'auto' = 'auto',
options: TransformOptions = {}
): string {
// Auto-detect vendor if not specified
const vendor = vendorType === 'auto'
? this.modelDetector.detectVendorSync(input)
: vendorType;
// Extract vendor-specific operations
const vendorOperations = this.extractVendorOperations(input, vendor);
// Transform each operation to universal format
for (const op of vendorOperations) {
const universalSymbol = this.symbolRegistry.getUniversalSymbol(op.vendorSymbol, vendor);
input = this.replaceVendorSymbol(input, op, universalSymbol, vendor);
}
// Apply universal format post-processing
return this.applyUniversalPostProcessing(input);
}
// Additional helper methods...
}
```
## 4. Universal Symbolic Syntax Schema
The following schema defines the universal symbolic syntax that forms the basis of the runtime:
```yaml
# schema/universal-syntax.yml
syntax:
version: "1.0.0"
command_patterns:
- pattern: "/domain.operation{params}"
example: "/think.trace{depth: 2, format: 'detailed'}"
description: "Full command with parameters"
- pattern: "/domain.operation"
example: "/think.trace"
description: "Command without parameters"
- pattern: "/operation"
example: "/think"
description: "Simplified operation without domain"
glyph_patterns:
- pattern: "π/{params}"
example: "π/{depth: 2}"
description: "Command glyph with parameters"
- pattern: "π/"
example: "π/"
description: "Command glyph without parameters"
- pattern: "π"
example: "π"
description: "Runtime glyph (concise)"
parameter_formats:
object:
pattern: "{key1: value1, key2: value2}"
description: "Object parameter format"
simplified:
pattern: ":value"
description: "Simplified single parameter format"
named:
pattern: ":param=value"
description: "Named parameter format"
composition:
chaining:
pattern: "/op1 | /op2"
description: "Chain operations with pipe"
nesting:
pattern: "/op1{/op2}"
description: "Nest operations within parameters"
```
## 5. API Architecture
The Universal Symbolics API provides a clean, consistent interface for developers:
```typescript
// universal-symbolics/src/api/index.ts
export class UniversalSymbolics {
private transformer: GrammarTransformer;
private runtime: SymbolicsRuntime;
private telemetry: TelemetrySystem;
constructor(options: SymbolicsOptions = {}) {
this.transformer = new GrammarTransformer(options.transformer);
this.runtime = new SymbolicsRuntime(options.runtime);
this.telemetry = new TelemetrySystem(options.telemetry);
}
/**
* Execute a symbolic operation directly
*/
async execute(
operation: string,
params: Record<string, any> = {},
options: ExecuteOptions = {}
): Promise<SymbolicResult> {
// Track operation telemetry
this.telemetry.trackOperation(operation, params);
// Parse operation
const { domain, action } = this.parseOperation(operation);
// Get domain executor
const executor = this.runtime.getDomainExecutor(domain);
// Execute operation
const result = await executor.execute(action, params, options);
// Track operation result
this.telemetry.trackResult(operation, result);
return result;
}
/**
* Transform content containing symbolic operations
*/
async transform(
content: string,
targetVendor: VendorType | 'auto' = 'auto',
options: TransformOptions = {}
): Promise<TransformResult> {
// Track transformation telemetry
this.telemetry.trackTransformation(content, targetVendor);
// Execute transformation
const transformed = await this.transformer.toVendorFormat(
content,
targetVendor,
options
);
return {
original: content,
transformed,
targetVendor: targetVendor === 'auto'
? await this.transformer.modelDetector.detectVendor(content)
: targetVendor,
operations: this.transformer.extractSymbolicOperations(content)
};
}
/**
* Reverse transform from vendor-specific to universal format
*/
reverseTransform(
content: string,
sourceVendor: VendorType | 'auto' = 'auto',
options: TransformOptions = {}
): ReverseTransformResult {
// Execute reverse transformation
const transformed = this.transformer.toUniversalFormat(
content,
sourceVendor,
options
);
return {
original: content,
transformed,
sourceVendor: sourceVendor === 'auto'
? this.transformer.modelDetector.detectVendorSync(content)
: sourceVendor,
operations: this.transformer.extractVendorOperations(content, sourceVendor)
};
}
/**
* Get domain-specific operations
*/
get think() { return this.createDomainProxy('think'); }
get reflect() { return this.createDomainProxy('reflect'); }
get collapse() { return this.createDomainProxy('collapse'); }
get fork() { return this.createDomainProxy('fork'); }
get shell() { return this.createDomainProxy('shell'); }
get inject() { return this.createDomainProxy('inject'); }
get anchor() { return this.createDomainProxy('anchor'); }
get align() { return this.createDomainProxy('align'); }
// Additional domains...
// Helper to create domain-specific operation proxies
private createDomainProxy(domain: string) {
return new Proxy({}, {
get: (_, action: string) => {
return (params = {}, options = {}) =>
this.execute(`${domain}.${action}`, params, options);
}
});
}
}
```
## 6. Symbolic Runtime Operations Registry
The complete list of supported symbolic operations:
```yaml
# registry/operations.yml
operations:
think:
core:
description: "Core thinking operation"
parameters:
depth: "Thinking depth (1-5)"
format: "Output format (text, structured, detailed)"
returns: "Explicit reasoning trace"
trace:
description: "Trace reasoning pathways"
parameters:
steps: "Number of steps to trace"
focus: "Area of focus for tracing"
returns: "Step-by-step reasoning trace"
analyze:
description: "Analyze specific elements"
parameters:
target: "Target of analysis"
framework: "Analysis framework to use"
returns: "Detailed analysis"
reflect:
core:
description: "Core reflection operation"
parameters:
target: "Target of reflection"
depth: "Reflection depth (1-5)"
returns: "Self-examination results"
process:
description: "Reflect on processing"
parameters:
stage: "Processing stage to reflect on"
returns: "Processing reflection"
attention:
description: "Reflect on attention"
parameters:
focus: "Area of focus"
returns: "Attention patterns"
collapse:
detect:
description: "Detect potential issues"
parameters:
triggers: "Issue triggers to look for"
threshold: "Detection threshold (0-1)"
returns: "Detection results"
recover:
description: "Recover from issues"
parameters:
strategy: "Recovery strategy"
returns: "Recovery results"
stabilize:
description: "Stabilize processing"
parameters:
method: "Stabilization method"
returns: "Stabilization results"
fork:
create:
description: "Create processing fork"
parameters:
paths: "Paths to explore"
weights: "Path weights"
returns: "Fork results"
select:
description: "Select best path"
parameters:
criterion: "Selection criterion"
returns: "Selected path"
merge:
description: "Merge forked paths"
parameters:
strategy: "Merge strategy"
returns: "Merged results"
# Additional domains and operations...
```
## 7. Model Capability Detection System
The Capability Detection System enables adaptive behavior based on vendor capabilities:
```typescript
// universal-symbolics/src/detection/capabilities.ts
export class CapabilityProbe {
private capabilityCache: Map<VendorType, VendorCapabilities>;
private enabled: boolean;
constructor(enabled: boolean = true) {
this.capabilityCache = new Map();
this.enabled = enabled;
}
/**
* Probe vendor for supported symbolic capabilities
*/
async probeVendor(
vendor: VendorType,
forceRefresh: boolean = false
): Promise<VendorCapabilities> {
// Return cached capabilities if available
if (!forceRefresh && this.capabilityCache.has(vendor)) {
return this.capabilityCache.get(vendor)!;
}
if (!this.enabled) {
// Return default capabilities if probing is disabled
return this.getDefaultCapabilities(vendor);
}
try {
// Probe capabilities based on vendor type
const capabilities = await this.executeProbe(vendor);
this.capabilityCache.set(vendor, capabilities);
return capabilities;
} catch (error) {
console.warn(`Failed to probe capabilities for ${vendor}:`, error);
// Fall back to default capabilities
return this.getDefaultCapabilities(vendor);
}
}
/**
* Execute capability probe for specific vendor
*/
private async executeProbe(vendor: VendorType): Promise<VendorCapabilities> {
// Create probing strategy for vendor
const strategy = this.createProbeStrategy(vendor);
// Execute probes in sequence
const results = await Promise.all([
strategy.probeCore(),
strategy.probeReflection(),
strategy.probeTracing(),
strategy.probeForking(),
strategy.probeCollapse()
]);
// Compile capabilities
return {
vendor,
timestamp: Date.now(),
core: results[0],
reflection: results[1],
tracing: results[2],
forking: results[3],
collapse: results[4],
// Additional capability areas...
};
}
/**
* Create vendor-specific probe strategy
*/
private createProbeStrategy(vendor: VendorType): ProbeStrategy {
switch (vendor) {
case 'claude':
return new ClaudeProbeStrategy();
case 'openai':
return new OpenAIProbeStrategy();
case 'gemini':
return new GeminiProbeStrategy();
case 'qwen':
return new QwenProbeStrategy();
case 'mistral':
return new MistralProbeStrategy();
default:
return new GenericProbeStrategy();
}
}
/**
* Get default capabilities for vendor
*/
private getDefaultCapabilities(vendor: VendorType): VendorCapabilities {
// Return predefined capabilities based on vendor
switch (vendor) {
case 'claude':
return CLAUDE_DEFAULT_CAPABILITIES;
case 'openai':
return OPENAI_DEFAULT_CAPABILITIES;
case 'gemini':
return GEMINI_DEFAULT_CAPABILITIES;
case 'qwen':
return QWEN_DEFAULT_CAPABILITIES;
case 'mistral':
return MISTRAL_DEFAULT_CAPABILITIES;
default:
return GENERIC_DEFAULT_CAPABILITIES;
}
}
}
```
## 8. Vendor Adapter System
The Vendor Adapter System provides model-specific optimizations:
```typescript
// universal-symbolics/src/vendors/index.ts
export abstract class VendorAdapter {
protected options: VendorAdapterOptions;
constructor(options: VendorAdapterOptions = {}) {
this.options = options;
}
abstract transformToVendor(
input: string,
operations: SymbolicOperation[]
): string;
abstract transformFromVendor(
input: string
): { content: string; operations: VendorOperation[] };
abstract executeOperation(
operation: string,
params: Record<string, any>,
options: ExecuteOptions
): Promise<SymbolicResult>;
}
export class ClaudeAdapter extends VendorAdapter {
transformToVendor(
input: string,
operations: SymbolicOperation[]
): string {
let result = input;
for (const op of operations) {
const { domain, action, params } = op;
// Convert to Claude XML syntax
let xmlTag = '';
switch (`${domain}.${action}`) {
case 'think.core':
xmlTag = 'think';
break;
case 'reflect.core':
xmlTag = 'reflect';
break;
case 'reflect.attention':
xmlTag = 'attention';
break;
// Map other operations to XML tags
default:
xmlTag = this.getDefaultXmlTag(domain, action);
}
// Replace symbol with XML tag
result = this.replaceWithXml(result, op, xmlTag, params);
}
return result;
}
transformFromVendor(input: string): {
content: string;
operations: VendorOperation[]
} {
const operations: VendorOperation[] = [];
let content = input;
// Extract XML tags
const xmlTagRegex = /<(\w+)(?:\s+([^>]*))?>([\s\S]*?)<\/\1>/g;
let match;
while ((match = xmlTagRegex.exec(input)) !== null) {
const [full, tag, attrsStr, innerContent] = match;
// Parse attributes if present
const attrs = attrsStr ? this.parseXmlAttributes(attrsStr) : {};
// Map XML tag to universal operation
const { domain, action } = this.mapXmlTagToOperation(tag);
operations.push({
vendorSymbol: tag,
domain,
action,
params: attrs,
content: innerContent,
position: {
start: match.index,
end: match.index + full.length
}
});
// Replace XML tag with placeholder
content = content.replace(
full,
`[SYMBOLIC:${operations.length - 1}]`
);
}
return { content, operations };
}
async executeOperation(
operation: string,
params: Record<string, any>,
options: ExecuteOptions
): Promise<SymbolicResult> {
// Implementation for Claude-specific execution
// ...
}
// Helper methods
private getDefaultXmlTag(domain: string, action: string): string {
// Default mapping strategy
return `${domain}_${action}`;
}
private replaceWithXml(
content: string,
operation: SymbolicOperation,
tag: string,
params: Record<string, any>
): string {
// Implementation for XML replacement
// ...
}
private parseXmlAttributes(attrs: string): Record<string, any> {
// Parse XML attributes
// ...
}
private mapXmlTagToOperation(
tag: string
): { domain: string; action: string } {
// Map XML tag to operation
// ...
}
}
// Additional adapter implementations for other vendors
export class OpenAIAdapter extends VendorAdapter { /* ... */ }
export class GeminiAdapter extends VendorAdapter { /* ... */ }
export class QwenAdapter extends VendorAdapter { /* ... */ }
export class MistralAdapter extends VendorAdapter { /* ... */ }
```
## 9. Residue Parser System
The Residue Parser System extracts and processes symbolic residue:
```typescript
// universal-symbolics/src/parsers/residue.ts
export class ResidueParser {
private registry: ResiduePatternRegistry;
constructor() {
this.registry = new ResiduePatternRegistry();
}
/**
* Extract symbolic residue from model output
*/
extractResidue(
content: string,
vendor: VendorType,
options: ResidueOptions = {}
): ResidueResult {
// Get vendor-specific patterns
const patterns = this.registry.getPatternsForVendor(vendor);
const residueInstances: ResidueInstance[] = [];
// Apply each pattern
for (const pattern of patterns) {
const matches = this.findPatternMatches(content, pattern);
for (const match of matches) {
residueInstances.push({
type: pattern.type,
subtype: pattern.subtype,
content: match.content,
position: match.position,
confidence: this.calculateConfidence(match, pattern),
metadata: this.extractMetadata(match, pattern)
});
}
}
// Process and classify residue
return this.processResidue(residueInstances, options);
}
/**
* Find matches for a specific residue pattern
*/
private findPatternMatches(
content: string,
pattern: ResiduePattern
): PatternMatch[] {
const matches: PatternMatch[] = [];
// Apply regex pattern
const regex = new RegExp(pattern.regex, 'g');
let match;
while ((match = regex.exec(content)) !== null) {
matches.push({
content: match[0],
groups: match.groups || {},
position: {
start: match.index,
end: match.index + match[0].length
}
});
}
return matches;
}
/**
* Calculate confidence score for a residue match
*/
private calculateConfidence(
match: PatternMatch,
pattern: ResiduePattern
): number {
// Calculate base confidence
let confidence = pattern.baseConfidence || 0.7;
// Apply modifiers based on pattern characteristics
if (pattern.confidenceModifiers) {
for (const modifier of pattern.confidenceModifiers) {
if (modifier.condition(match)) {
confidence *= modifier.factor;
}
}
}
return Math.min(1, Math.max(0, confidence));
}
/**
* Extract metadata from residue match
*/
private extractMetadata(
match: PatternMatch,
pattern: ResiduePattern
): Record<string, any> {
const metadata: Record<string, any> = {};
// Extract metadata based on pattern
if (pattern.metadataExtractors) {
for (const [key, extractor] of Object.entries(pattern.metadataExtractors)) {
metadata[key] = extractor(match);
}
}
return metadata;
}
/**
* Process and classify extracted residue
*/
private processResidue(
instances: ResidueInstance[],
options: ResidueOptions
): ResidueResult {
// Filter by confidence threshold
const threshold = options.confidenceThreshold || 0.5;
const filtered = instances.filter(inst => inst.confidence >= threshold);
// Group by type
const byType = this.groupByType(filtered);
// Calculate summary statistics
const statistics = this.calculateStatistics(filtered);
return {
instances: filtered,
byType,
statistics,
vendorFingerprint: this.generateVendorFingerprint(filtered)
};
}
// Additional helper methods...
}
```
## 10. Global Telemetry System
The Global Telemetry System measures symbolic usage patterns and adoption metrics:
```typescript
// universal-symbolics/src/telemetry/index.ts
export class TelemetrySystem {
private options: TelemetryOptions;
private metrics: TelemetryMetrics;
private reportingEndpoint?: string;
constructor(options: TelemetryOptions = {}) {
this.options = {
enabled: options.enabled ?? false,
anonymize: options.anonymize ?? true,
reportingInterval: options.reportingInterval ?? 3600000, // 1 hour
...options
};
this.reportingEndpoint = options.reportingEndpoint;
this.metrics = {
operations: new Map(),
vendors: new Map(),
transformations: new Map(),
errors: new Map(),
residue: new Map(),
usageTimestamps: []
};
// Schedule periodic reporting if enabled
if (this.options.enabled && this.reportingEndpoint) {
this.scheduleReporting();
}
}
/**
* Track symbolic operation usage
*/
trackOperation(
operation: string,
params: Record<string, any> = {}
): void {
if (!this.options.enabled) return;
// Increment operation count
const count = (this.metrics.operations.get(operation) || 0) + 1;
this.metrics.operations.set(operation, count);
// Record timestamp
this.metrics.usageTimestamps.push(Date.now());
// Prune old timestamps
this.pruneTimestamps();
}
/**
* Track operation result
*/
trackResult(
operation: string,
result: SymbolicResult
): void {
if (!this.options.enabled) return;
// Track successful/failed operations
if (result.success) {
const key = `${operation}.success`;
const count = (this.metrics.operations.get(key) || 0) + 1;
this.metrics.operations.set(key, count);
} else {
const key = `${operation}.error`;
const count = (this.metrics.operations.get(key) || 0) + 1;
this.metrics.operations.set(key, count);
// Track error types
if (result.error) {
const errorType = result.error.type || 'unknown';
const count = (this.metrics.errors.get(errorType) || 0) + 1;
this.metrics.errors.set(errorType, count);
}
}
}
/**
* Track vendor usage
*/
trackVendor(vendor: VendorType): void {
if (!this.options.enabled) return;
// Increment vendor usage count
const count = (this.metrics.vendors.get(vendor) || 0) + 1;
this.metrics.vendors.set(vendor, count);
}
/**
* Track transformation operations
*/
trackTransformation(
content: string,
targetVendor: VendorType | 'auto'
): void {
if (!this.options.enabled) return;
// Increment transformation count
const key = targetVendor === 'auto' ? 'auto' : targetVendor;
const count = (this.metrics.transformations.get(key) || 0) + 1;
this.metrics.transformations.set(key, count);
}
/**
* Track residue detection
*/
trackResidue(
residueType: string,
vendor: VendorType
): void {
if (!this.options.enabled) return;
// Increment residue count
const key = `${vendor}.${residueType}`;
const count = (this.metrics.residue.get(key) || 0) + 1;
this.metrics.residue.set(key, count);
}
/**
* Get current metrics
*/
getMetrics(): TelemetryReport {
return {
timestamp: Date.now(),
operations: Object.fromEntries(this.metrics.operations),
vendors: Object.fromEntries(this.metrics.vendors),
transformations: Object.fromEntries(this.metrics.transformations),
errors: Object.fromEntries(this.metrics.errors),
residue: Object.fromEntries(this.metrics.residue),
activeUsersLastHour: this.countRecentUsage(3600000), // 1 hour
activeUsersLastDay: this.countRecentUsage(86400000) // 24 hours
};
}
/**
* Report telemetry data to remote endpoint
*/
async reportTelemetry(): Promise<boolean> {
if (!this.options.enabled || !this.reportingEndpoint) {
return false;
}
try {
const report = this.getMetrics();
// Anonymize if required
const payload = this.options.anonymize ?
this.anonymizeReport(report) : report;
// Send to reporting endpoint
const response = await
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