Proof Result
Logic confidence score
Conclusion:
Implication Status:
Recommended Action:
| Item | Value | Meaning |
|---|
Calculator
Example Data Table
| Premise | Conclusion | Premise Truth | Conclusion Truth | Implication | Use Case |
|---|---|---|---|---|---|
| Inspection is passed | Concrete pour is allowed | True | True | Valid | Site approval |
| Material is delayed | Schedule moves forward | True | False | Invalid | Risk review |
| Permit is missing | Work is paused | False | True | Conditionally valid | Compliance check |
Formula Used
The calculator uses the conditional implication rule:
P → Q. The implication is false only when P is true
and Q is false. In all other truth cases, the implication is logically true.
The confidence score uses this weighted model:
Score = Implication Base + Step Accuracy + Evidence Bonus + Assumption Bonus - Risk Penalty - Conflict Penalty
- Implication Base: 40 points when the conditional statement is logically valid.
- Step Accuracy: valid proof steps divided by total proof steps, multiplied by 25.
- Evidence Bonus: evidence level multiplied by 5.
- Assumption Bonus: assumption strength multiplied by 4.
- Risk Penalty: construction risk factor multiplied by 4.
- Conflict Penalty: logical conflicts multiplied by 5.
How to Use This Calculator
- Enter the premise, such as a permit, inspection, delivery, or safety condition.
- Enter the conclusion that should follow from that condition.
- Choose whether the premise and conclusion are true or false.
- Select the proof method that best matches your reasoning style.
- Add evidence, assumptions, risks, valid steps, and conflicts.
- Press the calculate button to view the result above the form.
- Download the CSV or PDF report for records and review meetings.
Conditional Proof Logic in Construction Decisions
Why Conditional Proof Matters
Conditional proof helps teams test if one site condition supports another decision. A project often depends on linked events. A permit may allow excavation. A passed inspection may allow concrete work. Approved drawings may support procurement. Each link should be clear before action begins.
Using Logic for Safer Planning
Construction planning can fail when assumptions are hidden. Conditional proof makes those assumptions visible. It asks a simple question. If the first statement is true, must the second statement follow? This question supports safer scheduling. It also improves meeting notes, change reviews, and approval records.
Truth Values and Site Meaning
In logic, a conditional statement is written as P implies Q. It fails only when P is true and Q is false. For example, material approval is true, but delivery release is false. That means the claimed link is broken. The team should review missing steps, blocked dependencies, or unclear authority.
Proof Steps and Evidence
A strong proof has valid steps. Each step should move from an accepted condition to a supported result. Evidence can include drawings, signed approvals, inspection reports, delivery notes, or safety records. Better evidence raises confidence. Conflicts reduce confidence because they weaken the proof path.
Risk and Practical Judgment
Logic alone does not remove site risk. A valid conditional claim can still need review when cost, safety, weather, or legal exposure is high. This calculator adds a risk penalty for that reason. It helps separate logical validity from practical readiness. Use the result as a structured guide, not as a replacement for expert approval.
Reports for Team Review
The export buttons create a simple record. The CSV file supports spreadsheets. The PDF file supports meetings and audits. Save each report with the project name, date, and decision topic. This creates a clear trail for future checks.
FAQs
What is a conditional proof?
A conditional proof tests whether one statement logically supports another. It usually follows the form: if P is true, then Q should follow.
Can this calculator prove legal responsibility?
No. It only checks logical structure and reasoning strength. Legal responsibility needs contracts, records, expert review, and local rules.
Why does true premise and false conclusion fail?
Because the condition happened, but the expected result did not follow. That breaks the claimed implication between both statements.
What does the confidence score mean?
It estimates reasoning quality using truth values, valid steps, evidence, assumptions, risks, and conflicts. A higher score means stronger logic.
Can I use this for project meetings?
Yes. You can enter a site condition, test the conclusion, and export the report for meeting notes or decision records.
What is a contrapositive test?
A contrapositive checks the reverse negative form. If P implies Q, then not Q should imply not P.
Why include construction risk?
Some decisions are logically valid but still risky. Safety, cost, weather, delay, and compliance issues can reduce practical confidence.
Does this replace expert review?
No. It supports structured reasoning. Final construction decisions should still involve qualified supervisors, engineers, inspectors, or contract managers.