Incremental Concolic Testing for Design Verification

concolic testing design verification api testing
T
Tyler Brooks

Full-Stack Developer & DevOps Engineer

 
October 22, 2025 11 min read

TL;DR

This article covers incremental concolic testing, a powerful technique for verifying complex designs, especially in scenarios where traditional methods fall short. It dives into how breaking down complex conditions into manageable sequences and applying concolic testing incrementally improves coverage and uncovers hard-to-reach corner cases in api and software development. The article showcases the effectiveness of this approach through practical examples and experimental results.

Introduction to Concolic Testing and Design Verification

Okay, so you wanna get into concolic testing? It might sound like some kinda sci-fi thing, but it's actually a pretty cool way to verify your designs. Think of it like this: you're trying to find all the weird edge cases that could break your system.

Concolic testing mixes concrete simulation with symbolic execution. What does that mean? Concrete simulation is like running your code with actual, specific values – the kind you'd use in a normal test. Symbolic execution, on the other hand, treats your code's inputs as variables, like "x" or "y", and figures out the conditions under which different parts of the code run. Concolic testing does both. It runs a concrete execution, but while it's running, it also keeps track of the symbolic conditions that led to that execution. Then, it uses this information to explore new paths. It explores one execution path at a time, which is scalable.

Think of this being useful in software and hardware. Seems pretty helpful, right, and it's only gonna get better. Now, let's get into how it works incrementally.

The Challenge: Hard-to-Activate Branches

Alright, so you got these branches in your code that are like, super stubborn? It's like they dare you to try and activate 'em.

  • These hard-to-activate branches? Often, it's because of temporal dependencies. Think like, "this needs to happen before that" kinda thing. For example, you can't read from a memory location until it's been written to.
  • Contradictory constraints also makes it harder. This happens when the conditions needed to reach a certain point in your code are impossible to satisfy simultaneously. Like trying to have a signal be both high and low at the same time, or trying to read and write to the same memory address in a way that the design doesn't allow (concurrent write to same memory address), as illustrated in Sequence-Based Incremental Concolic Testing of RTL Models.
  • Traditional concolic testing can get stuck, specially if you don't unroll the design enough.

Unrolling a design for a ton of cycles? That's just not gonna work for big designs. You hit the path explosion problem, and suddenly you're dealing with an insane amount of possibilities. Even though concolic testing explores one path at a time, the sheer number of possible paths can still be exponential, leading to an overwhelming search space. And branch selection? Existing approaches, they're just not cut out for these tricky corner cases, if you ask me.

So, what's the alternative? Let's look at the limitations of traditional concolic testing.

Incremental Concolic Testing: A Sequence-Based Approach

Okay, so you're wondering how this "incremental concolic testing" thing actually works, right? It's not just some abstract theory, people are using it. Think of companies working on complex hardware like CPUs, GPUs, or even advanced networking chips. Let's break down the sequence-based approach, it's kinda cool.

First, you gotta figure out the event sequences. Think of it like reverse-engineering a magic trick, you're figuring out the steps to get to the big reveal.

  • This involves analyzing the Control Flow Graph (CFG) of your RTL design. The goal is to map your branch coverage problem to covering a sequence of events. (testing - Branch Coverage - Stack Overflow) You're trying to figure out what needs to happen to hit those hard-to-reach branches. An "event" in this context could be a specific signal transition, a state change in a module, or a particular condition becoming true. For example, in an RTL design, an event might be "the clock edge arrives when write_enable is high and address is 0x10".
  • The Sequence-Based Incremental Concolic Testing of RTL Models paper also mentions statically analyzing concurrent CFGs, that's how you deal with multiple things happening at once.

Now for the "incremental" part, which is where the magic happens.

  • You solve each sequence while keeping the order. It's like a recipe, you can't just throw everything in at once. Each step depends on the last.
  • The trick is to preserve each solution. You're building a chain, each link depending on the one before it.
  • According to "Incremental Concolic Testing of Register-Transfer Level Designs", the test generated to activate the current event is the starting point to activate the next event in the sequence. It's like using the output of one function as the input for the next. More specifically, the concrete values and symbolic constraints derived from successfully executing and satisfying the conditions for one event sequence are used to initialize the concolic execution for the next event in the sequence. This means the symbolic solver starts with a partially constrained state, making it easier to find a solution for the subsequent event.

It’s like you're not brute-forcing anymore, you're strategically unlocking each step.

So, that's the sequence-based approach, step by step.

Key Steps in Incremental Concolic Testing

Alright, so we've talked about what incremental concolic testing is and why it's useful. Now, let's dive into how it actually works, step-by-step. It's like breaking down a complex magic trick into smaller, manageable illusions.

  • Sequence Identification Algorithm: This is where we figure out the order of events needed to trigger that hard-to-reach branch.
    • First, we build a Control Flow Graph (cfg) of the design. Think of this like mapping out all the possible routes through your code.
    • Then, we grab the branch condition for the target. What needs to be true to hit that branch?
    • Next, the DependencySearch function helps to identify the assignment blocks that are relevant for each of the signals in the branch condition's expression. It traces back through the code to find which assignments directly influence the signals involved in the target branch.
    • Finally, it returns the sequence of assignment blocks for activating the branch target, so we know what to do.

Okay, so now you know the sequence of events. Time to get our hands dirty and instrument the design.

  • Breadth-First Search (bfs) helps along the predecessors of the target block in the cfg. It helps us to find the way back.
    • First, we identify the constraints for the target and sequences. What needs to be true to get there?
    • We resolve unresolved constraints using constraints from the target, it's like filling in the blanks. This means if a constraint from an earlier event is missing or unclear, it's clarified using the conditions required for the target branch.
    • Then you create conditional branches using the modified constraints and embedding them in the design.

Time to crank out some tests! It's all about activating events in the correct order.

  • We activate a sequence of events in the preserved order. You can't just skip steps!
    • The test generated to activate the current event is used as the starting point to activate the next event. It's like building on previous success.
    • Concolic testing runs for each target while changing the test set and the starting clock cycle.
    • Distance from the target to all the blocks is calculated and a path is generated by simulating the design with the test set. The simulation uses the generated test inputs to drive the design, and the concolic executor traces the execution path. The distance calculation helps prioritize which paths to explore next, aiming to get closer to the target branch.

So, you've instrumented your design and generated some tests. what's next? We'll discuss the experiments.

Experimental Evaluation and Results

Alright, so you've been running tests and got some data back. What does it mean, though? That's where experimental evaluation comes in, and it is a key part of figuring out if this incremental concolic testing thing is actually worth it.

So first things first, the researchers, they didn't just pull this outta thin air, y'know? They tested it on real stuff.

  • They used it on a re-configurable cache implementation (IOb-Cache) and a processor design (PicoRV32). Think of it like testing on both memory and processing units to see if it breaks.
  • To understand the code, these guys, they used Icarus Verilog Target API, so they could see the structure of the RTL model. Think of it like getting a map of the code. It helps them parse and analyze the Verilog code.
  • And to figure out if the constraints made sense, they use Yices SMT solver. It's like a fancy calculator for code logic. It takes the symbolic constraints generated by the concolic executor and tries to find concrete values that satisfy them.
  • Importantly, this incremental testing thing? It's built on top of an existing concolic testing framework. It's not a total rewrite, it's more like an upgrade.

Now comes the fun part: breaking stuff.

  • They weren't looking for easy bugs, they wanted the hard-to-detect branches in memory and processor execution. It's like hunting for the sneakiest gremlins in your system. These were scenarios that traditional simulation or simpler concolic methods struggled to reach.
  • They made different memory verification cases to check the cache and memory worked in weird situations. Think of it like testing if your bank can handle someone withdrawing all their money at 3am on a Tuesday.
  • They even found corner cases for running a processor, like setting the program counter and writing to registers. It's like trying to hotwire your cpu.

So, did it work?

  • They put it head-to-head with EBMC (Event-Based Model Checking) and an existing concolic testing framework. It's like a coding cage match. "Incremental Concolic Testing of Register-Transfer Level Designs" shows that this approach covers more complex scenarios than others.
  • And guess what? EBMC only covered one scenario, and the existing framework covered only 4, but their approach covered all of 'em. It's like they found all the bugs the other guys missed.
  • To make sure the tests were legit, they simulated the original design and checked the VCD (Value Change Dump). It's like double-checking your math to make sure you didn't screw up.

All this testing, it shows that incremental concolic testing can really find those pesky bugs that other methods miss.

Conclusion

So, we've gone deep into incremental concolic testing. It's kinda like teaching a computer to be super-efficient at finding bugs, one step at a time, and it really does seem to work.

  • Scalability is key. Incremental concolic testing offers a test generation framework that scales well. Like, you can actually use it on bigger designs without everything grinding to a halt.
  • Hard-to-reach branches? No problem. It's really good at activating those complex corner cases, those branches that are normally a pain to get to.
  • Complex branches, simplified. The approach cleverly breaks down tough branch conditions into a series of easier-to-activate events. It's like simplifying a puzzle.
  • Building on success. The test generated for one event becomes the starting point for the next. Imagine using the solution to one level of a video game as the key to unlocking the next - kinda neat.

Think about how this could shake up api and software dev. You're talking about:

  • Better coverage; those sneaky corner cases, they're much more likely to get caught.
  • Designs that don't break easily; more robust and reliable systems, that's the goal, right?
  • Less manual work; reduced effort in writing tests manually, and who doesn't want that?
  • Tests that know what they're doing; automated generation of directed tests, tests that actually target the right spots.

While incremental concolic testing is promising, it's not a silver bullet. There's always more to explore:

  • New domains; figuring out where else this technique could be useful. Think about things like security vulnerability analysis or even formal verification of complex algorithms.
  • Better algorithms; developing even better algorithms for figuring out event sequences and generating tests. Maybe faster ways to identify dependencies or more efficient constraint solving.
  • Smoother integration; making it easier to fit this into existing dev workflows. Tools that can plug into CI/CD pipelines seamlessly.
  • Handling complexity; tackling the challenge of verifying really complex systems with tons of moving parts.

All this incremental testing, it shows that incremental concolic testing can really find those pesky bugs that other methods miss.

The future of design verification might just be a little less painful, thanks to approaches like this.

T
Tyler Brooks

Full-Stack Developer & DevOps Engineer

 

Tyler Brooks is a Full-Stack Developer and DevOps Engineer with 10 years of experience building and scaling API-driven applications. He currently works as a Principal Engineer at a cloud infrastructure company where he oversees API development for their core platform serving over 50,000 developers. Tyler is an AWS Certified Solutions Architect and a Docker Captain. He's contributed to numerous open-source projects and maintains several popular API-related npm packages. Tyler is also a co-organizer of his local DevOps meetup and enjoys hiking and craft brewing in his free time.

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