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Finite Kripke CTL Branching-Time Satisfaction Sets Verifier
x402
Finite Kripke CTL Branching-Time Satisfaction Sets Verifier is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-01).
Computes the satisfaction set of every CTL formula over a supplied finite total Kripke structure, verifying all branching-time temporal logic claims.
Price / call$0.003
Success—
StatusUnknown
How this service works
Verify every CTL state satisfaction set of a supplied total finite branching-time model.
Output
Returns the satisfaction set for every CTL formula provided — i.e., the set of state indices (from 0 to n-1) that satisfy each formula in the given finite total Kripke structure. Results allow verification of branching-time temporal logic claims against the model.
Example use cases
CTL reachability verification for protocol model
“I'm modeling a communication protocol as a Kripke structure with 4 states, edges [[0,1],[1,2],[2,3],[3,1]], labels [[0],[1],[2],[1,2]], and I want to verify which states satisfy the EF formula for proposition 2 and the AG formula for proposition 0 — please give me the satisfaction sets for both.”
Safety property check on a small state machine
“I have a 5-state system modeled as a Kripke structure with edges [[0,1],[0,2],[1,3],[2,3],[3,4],[4,3]], labels [[0,1],[1],[2],[0,2],[1,2]], and formulas AG(atom(0)) and AF(atom(2)) — which states satisfy each formula?”
Branching-time logic homework verification
“Can you verify my CTL model checking work? I have a 2-state Kripke structure with edges [[0,1],[1,0]], labels [[0],[1]], and three formulas: atom(0), EX(atom(1)), and AX(atom(0)) — tell me the exact satisfaction set for each.”
Technical details
Endpoint
POSThttps://detect.halowerk.com/v1/F-REST-B20/finite-total-kripke-ctl-branching-time-satisfaction-sets?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need to formally verify CTL (Computation Tree Logic) satisfaction sets over a small finite total Kripke structure (up to 8 states, 64 edges, 40 formulas). It is ideal for model checking tasks involving branching-time temporal operators (EX, AX, EG, AG, EF, AF, EU, AU) on finite automata, protocol verification, or academic CTL exercises. Prefer this over custom implementations when you need a reliable, hosted model checker for bounded-size models without writing your own fixpoint algorithms.
Side effects
- Invalid graph: edges reference state indices >= n
- Non-total structure: some state has no outgoing edge (violates totality constraint)
- Formula references undefined sub-formula index (out of bounds)
- n exceeds maximum of 8 or is below minimum of 1
- Formula count exceeds 40 or edges exceed 64
- Malformed formula operator not in allowed enum
- Cycle or formula index self-reference causing invalid evaluation order
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| artifact | object |
Tags
x402
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