VeriLang DSL Hoare Triple {P} S {Q}
VeriLang Builtins: fact(n) • gcd(a,b) • abs(x) • min(a,b) • max(a,b) • pow(a,b) • Contracts: requires, ensures, invariant
🔄 Loop Invariant Proof Obligations (Hoare Partial Correctness) 1 Loop Detected
1. Initialization Pending
\(P \implies I\)
Precondition must establish loop invariant before 1st iteration.
2. Maintenance Pending
\((I \land B) \implies \text{wp}(\text{body}, I)\)
Invariant must be inductively preserved across loop body.
3. Postcondition Pending
\((I \land \neg B) \implies Q\)
Invariant and loop exit condition must establish postcondition.

Generated Verification Conditions (VCs)

0 Conditions
No verification conditions generated yet. Click "Verify Program" to parse AST and compute weakest preconditions.
⚖️ Mathematical Foundations & Soundness Notice

VeriSys-AI implements Dijkstra's Weakest Precondition Calculus for imperative Hoare triples. Verification Conditions (VCs) are simplified syntactically and evaluated via Bounded Model Checking (BMC) over integer domain \([-N, N]\). While counterexamples are concrete proofs of violation, satisfaction within bounds represents bounded confidence rather than an unbounded SMT proof.

Automaton Model Specification

Properties to Verify

Model Loaded
Select a property above to run model checking over the finite state graph.
Execution Trace Steps
Trace will appear here upon counterexample discovery.
Start State
Good State (Liveness)
Bad State (Safety Violation)
Trace Step
Interactive State Transition Graph (Finite Automaton)
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Formal Verification Audit Log & Certificate Generator

Export cryptographic verification certificates with Hoare proof trees, AST weakest preconditions, and SHA-256 integrity digests.

Verification Session History

Active Proof Tree & Integrity Digest

SHA-256 COMPUTED
Verification proof tree will be rendered upon program analysis.
Verification Hash Digest: e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855