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SWI-Prolog as a logic calculator for LLMs
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Open Claude Desktop → Settings → Developer → Edit Config, and paste this into claude_desktop_config.json
{
"mcpServers": {
"prolog-reasoner": {
"command": "uvx",
"args": [
"prolog-reasoner"
]
}
}
}Run this in your terminal
claude mcp add prolog-reasoner -- uvx prolog-reasonerPaste into .cursor/mcp.json in your project, or ~/.cursor/mcp.json
{
"mcpServers": {
"prolog-reasoner": {
"command": "uvx",
"args": [
"prolog-reasoner"
]
}
}
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Paste into .vscode/mcp.json in your project
{
"servers": {
"prolog-reasoner": {
"type": "stdio",
"command": "uvx",
"args": [
"prolog-reasoner"
]
}
}
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SWI-Prolog as a "logic calculator" for LLMs — available as an MCP server and a Python library. Eliminate the black box from LLM logical reasoning.
LLMs excel at natural language but struggle with formal logic. Prolog excels at logical reasoning but can't process natural language. prolog-reasoner bridges this gap by exposing SWI-Prolog execution to LLMs.
On the built-in 30-problem logic benchmark:
| Pipeline | Accuracy |
|---|---|
LLM-only (claude-sonnet-4-6) | 22/30 (73.3%) |
| LLM + prolog-reasoner | 27/30 (90.0%) |
The gap concentrates in constraint satisfaction and multi-step reasoning — the combinatorial territory LLMs are weak on and Prolog is strong on. Full breakdown below.
LLMs pattern-match; Prolog actually searches and solves. When the LLM writes its problem down as Prolog, two things happen at once:
execute_prolog for arbitrary SWI-Prolog execution, plus list_rule_bases / get_rule_base / save_rule_base / delete_rule_base for reusable named rule bases (v14)execute_prolog so the LLM only writes the situation-specific facts per call# MCP server only (no LLM dependencies)
pip install prolog-reasoner
pip install prolog-reasoner[openai]
pip install prolog-reasoner[anthropic]
pip install prolog-reasoner[all]
The MCP server exposes five tools — execute_prolog runs Prolog code written by the connected LLM, and four rule-base tools manage named, reusable Prolog modules. It does not call any external LLM API, so no API key is required.
{
"mcpServers": { "prolog-reasoner": { "command": "uvx", "args": ["prolog-reasoner"] } } }
Or, if prolog-reasoner is installed directly:
{
"mcpServers": { "prolog-reasoner": { "command": "prolog-reasoner" } } }
Use Docker if you don't want to install SWI-Prolog locally:
docker build -f docker/Dockerfile -t prolog-reasoner .
{
"mcpServers": { "prolog-reasoner": { "command": "docker", "args": ["run", "-i", "--rm", "prolog-reasoner"] } } }
`execute_prolog(prolog_code, query, rule_bases=None, max_results=100, trace=False)`
prolog_code — Prolog facts and rules (string)query — Prolog query to run, e.g. "mortal(X)" (string)rule_bases — optional list of saved rule base names to prepend to prolog_code (in order). Use this to reuse stable domain rules across calls without re-sending themmax_results — cap the number of solutions returned (default 100)trace — when True, attach a structured proof tree per solution to metadata.proof_trace. Opt-in sub-feature; has performance overhead and does not support CLP(FD), higher-order predicates, or assert/retract.Returns a JSON object with success, output, query, error, and metadata.
On success, metadata includes execution_time_ms, result_count, truncated, and rule_bases_used. When rule bases were requested, rule_base_load_ms is also attached (disk I/O timing). On failure, metadata also includes error_category (one of syntax_error, undefined_predicate, unbound_variable, type_error, domain_error, evaluation_error, permission_error, timeout, trace_mechanism_error, unknown) and error_explanation — a natural-language hint for the connected LLM (or human) to decide how to fix the Prolog code.
Rule base tools — manage named, reusable Prolog modules under PROLOG_REASONER_RULES_DIR (defaults to ~/.prolog-reasoner/rules/). Names are restricted to [a-z0-9_-], length 1–64.
RULEBASE_003. Returns {"success": true, "name": ..., "created": bool} where created is true on first write, false on overwrite. Files over max_rule_size are rejected with RULEBASE_005.name, description, and tags. Metadata is extracted from leading % description: / % tags: comments in each file.For name/size/existence errors, the tools return {"success": false, "error": "...", "error_code": "RULEBASE_001"|"RULEBASE_002"|"RULEBASE_003"|"RULEBASE_005"} rather than raising. I/O failures (RULEBASE_004) are propagated as infrastructure errors.
Rule base conventions — start each rule base file with leading comments that double as list_rule_bases metadata:
% description: Chess piece movement rules
% tags: chess, games
piece_move(knight, (X1,Y1), (X2,Y2)) :- ...
Then reference from execute_prolog:
{
"rule_bases": ["chess_moves"], "prolog_code": "position(knight, (4,4)).", "query": "piece_move(knight, (4,4), Target)" }
Rule bases also serve as the foundation for domain-specialized forks: ship a curated set (legal axioms, game rules, tax scenarios, etc.) bundled via BUNDLED_RULES_DIR as a ready-to-use reasoning package.
The library exposes PrologExecutor (Prolog-only, no LLM) and PrologReasoner (NL→Prolog pipeline, needs an LLM API key).
import asyncio
from prolog_reasoner.config import Settings from prolog_reasoner.executor import PrologExecutor
async def main(): settings = Settings() # no API key needed executor = PrologExecutor(settings) result = await executor.execute( prolog_code="human(socrates). mortal(X) :- human(X).", query="mortal(X)", ) print(result.output) # mortal(socrates)
asyncio.run(main())
import asyncio
from prolog_reasoner import PrologReasoner, TranslationRequest, ExecutionRequest from prolog_reasoner.config import Settings from prolog_reasoner.executor import PrologExecutor from prolog_reasoner.translator import PrologTranslator from prolog_reasoner.llm_client import LLMClient
async def main(): settings = Settings(llm_api_key="sk-...") # from env or explicit llm = LLMClient( provider=settings.llm_provider, api_key=settings.llm_api_key, model=settings.llm_model, timeout_seconds=settings.llm_timeout_seconds, ) reasoner = PrologReasoner( translator=PrologTranslator(llm, settings), executor=PrologExecutor(settings), ) translation = await reasoner.translate( TranslationRequest(query="Socrates is human. All humans are mortal. Is Socrates mortal?") ) print(translation.prolog_code) result = await reasoner.execute( ExecutionRequest(prolog_code=translation.prolog_code, query=translation.suggested_query) ) print(result.output)
asyncio.run(main())
All settings via environment variables (prefix PROLOG_REASONER_):
| Variable | Default | Required for |
|---|---|---|
LLM_PROVIDER | openai | library (openai or anthropic) |
LLM_API_KEY | "" | library only — leave unset for MCP |
LLM_MODEL | gpt-5.4-mini | library |
LLM_TEMPERATURE | 0.0 | library |
LLM_TIMEOUT_SECONDS | 30.0 | library |
SWIPL_PATH | swipl | both |
EXECUTION_TIMEOUT_SECONDS | 10.0 | both |
RULES_DIR | ~/.prolog-reasoner/rules | both (where user-saved rule bases live) |
BUNDLED_RULES_DIR | unset | both (optional — synced into RULES_DIR on first startup for shipping default rules with a fork) |
MAX_RULE_SIZE | 1048576 (1 MiB) | both (per-file save cap; save_rule_base rejects larger content with RULEBASE_005) |
MAX_RULE_PROMPT_BYTES | 65536 (64 KiB) | library only (total budget for the "Available rule bases" prompt section; truncated with a marker when exceeded) |
LOG_LEVEL | INFO | both |
benchmarks/ contains 30 logic problems across 5 categories (deduction, transitive, constraint, contradiction, multi-step) to compare LLM-only reasoning vs LLM+Prolog reasoning. The benchmark exercises the library path (translator + executor), since it requires the NL→Prolog step.
Measured on anthropic/claude-sonnet-4-6, single run over 30 problems:
| Pipeline | Accuracy | Avg latency |
|---|---|---|
| LLM-only | 22/30 (73.3%) | 1.7s |
| LLM + Prolog | 27/30 (90.0%) | 3.8s |
Per-category breakdown:
| Category | LLM-only | LLM + Prolog |
|---|---|---|
| deduction | 6/6 | 6/6 |
| transitive | 6/6 | 5/6 |
| constraint | 3/7 | 6/7 |
| contradiction | 4/4 | 3/4 |
| multi-step | 3/7 | 7/7 |
The gap is concentrated in constraint (SEND+MORE, 6-queens, knapsack, K4 coloring, Einstein-lite) and multi-step (Nim game theory, 3-person knights-and-knaves, TSP-4, zebra puzzle) — exactly the combinatorial/search-heavy territory where symbolic solvers outperform pattern completion. On purely deductive or transitive questions the LLM is already strong and Prolog adds latency without accuracy gains.
All 3 LLM+Prolog failures were Prolog execution errors from malformed LLM-generated code (missing predicate definitions, unbound CLP(FD) variables) rather than reasoning errors — addressable via prompt tuning. Notably, every failure is inspectable: you can see the exact Prolog that failed and why, rather than a wrong natural-language answer with no explanation.
docker run --rm -e PROLOG_REASONER_LLM_API_KEY=sk-... \
prolog-reasoner-dev python benchmarks/run_benchmark.py
Results are saved to benchmarks/results.json.
Several Prolog MCP servers exist, each with different design choices. prolog-reasoner is intentionally stateless and spot
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