Reasoning Engine

Think
deeper.

RoadMind is not a chatbot. It is a reasoning engine built for people who think for a living. Logic puzzles that actually challenge. Proof verification that catches errors. Mathematical exploration that reveals structure. Structured thinking, amplified by AI.

Explore Modes Try Proof Verifier
Thinking Modes

Six modes of structured thought

Mode 01

Logic Puzzles

Procedurally generated logic puzzles at every difficulty level. From classic syllogisms to constraint satisfaction problems. Each puzzle has a verified solution path. The engine explains every deduction step so you learn the reasoning pattern, not just the answer.

Mode 02

Proof Verification

Submit a mathematical proof and RoadMind checks every step. It identifies logical gaps, unstated assumptions, circular reasoning, and invalid inferences. Used by students learning proof technique and researchers checking complex arguments.

Mode 03

Mathematical Explorer

Explore mathematical structures interactively. Visualize group theory. Walk through topological transformations. See number theory patterns emerge. Compute with abstract algebra. The engine renders math as interactive diagrams, not just equations.

Mode 04

Argument Analyzer

Paste any argument -- a news article, a legal brief, a philosophy paper -- and RoadMind maps its logical structure. Identifies premises, conclusions, hidden assumptions, and fallacies. Visualizes the argument as a directed graph of inferences.

Mode 05

Decision Engine

Model complex decisions with multiple objectives, uncertainties, and tradeoffs. Bayesian reasoning, expected utility calculations, and sensitivity analysis. The engine does not make your decision -- it shows you the structure of the decision so you can make it better.

Mode 06

Debate Simulator

Argue any position against an AI that steelmans the opposition. RoadMind does not attack strawmen -- it finds the strongest version of the counterargument and presents it. Sharpen your reasoning by facing the best possible objections to your position.

Reasoning Engine

How RoadMind thinks

RoadMind uses a multi-stage reasoning pipeline that separates understanding from inference from verification. Every conclusion is traced back to its premises with an auditable chain of reasoning.

PAR

Structural Parser

Extracts logical structure from natural language. Identifies quantifiers, connectives, predicates, and scope. Maps sentences to first-order logic representations. Based on Greenbaum's clause analysis -- grammar IS logic.

FOL / clause analysis / AST
INF

Inference Engine

Forward and backward chaining over extracted premises. Resolution-based theorem proving. Model checking for finite domains. Probabilistic reasoning for uncertain premises. Every inference step is logged and explainable.

Prolog-style / SAT / SMT
VER

Verification Layer

Independent verification of every conclusion. Cross-checks inferences against known logical rules. Flags potential fallacies with specific names and explanations. Computes confidence levels for probabilistic conclusions.

Coq-inspired / Z3 / confidence scoring
VIZ

Visual Reasoning

Every proof, argument, and decision is rendered as an interactive diagram. Proof trees. Argument maps. Decision networks. Venn diagrams. You see the structure of thought, not just the words.

D3.js / SVG / interactive canvas
LOC

Local Inference

All reasoning runs on your own hardware via Ollama. No cloud processing. Your thought experiments, proof attempts, and decision models never leave your machine. Sovereign thinking.

Ollama / Hailo-8 / on-device
API

Reasoning API

Embed RoadMind reasoning in your own applications. Proof verification endpoints. Argument analysis endpoints. Logic puzzle generation endpoints. Build tools for critical thinking at scale.

REST / WebSocket / SDK
Live Demo

Proof verification in action

roadmind proof-verify
Claim: The square root of 2 is irrational. Proof submitted: 1. Assume sqrt(2) = a/b where a,b are integers, b != 0, gcd(a,b) = 1 2. Then 2 = a^2 / b^2, so a^2 = 2b^2 3. Therefore a^2 is even, so a is even 4. Let a = 2k. Then 4k^2 = 2b^2, so b^2 = 2k^2 5. Therefore b^2 is even, so b is even 6. But then gcd(a,b) >= 2, contradicting step 1 RoadMind verification: Step 1: Valid — proof by contradiction setup with coprimality constraint Step 2: Valid — algebraic manipulation Step 3: Valid — if n^2 is even then n is even (contrapositive of odd^2 = odd) Step 4: Valid — substitution and simplification Step 5: Valid — same lemma as step 3 Step 6: Valid — contradiction with coprimality assumption PROOF VERIFIED: All 6 steps are logically sound. QED.
Access

Sharpen your mind

Free for individual thinkers. Pro tier for researchers and educators who need unlimited verification and API access.

Thinker

$0

10 puzzles/day. 5 proof verifications/day. Argument analyzer. Decision engine. All six modes accessible with daily limits.

Scholar

$12/mo

Unlimited puzzles and verifications. API access. Export proofs as LaTeX. Collaboration mode for study groups. Custom difficulty calibration.

Institution

Custom

LMS integration. Student progress tracking. Custom puzzle sets for coursework. Departmental analytics. On-premise deployment option.