# Satisfiability Modulo Bounded Checking

@inproceedings{Cruanes2017SatisfiabilityMB, title={Satisfiability Modulo Bounded Checking}, author={Simon Cruanes}, booktitle={CADE}, year={2017} }

We describe a new approach to find models for a computational higher-order logic with datatypes. The goal is to find counterexamples for conjectures stated in proof assistants. The technique builds on narrowing [14] but relies on a tight integration with a SAT solver to analyze conflicts precisely, eliminate sets of choices that lead to failures, and sometimes prove unsatisfiability. The architecture is reminiscent of that of an SMT solver. We present the rules of the calculus, an…

## 4 Citations

### Datatypes with Shared Selectors (Technical Report)

- Computer Science
- 2018

Evidence that the use of shared selectors improves state-of-the-art SMT-based approaches for datatype constraints is shown.

### Datatypes with Shared Selectors

- Computer ScienceIJCAR
- 2018

It is shown that the satisfiability problem for the traditional theory of algebraic datatypes can be reduced to problems where selectors are mapped to shared symbols based on a transformation provided in this paper.

### Tests and proofs for custom data generators

- Mathematics, Computer ScienceFormal Aspects of Computing
- 2018

This paper shows testing techniques to check properties of custom data generators for these structures of permutations and rooted maps, and proposes an extension of QuickChick with bounded exhaustive testing based on generators developed inside Coq, but also on correct-by-construction generators developed with Why3.

### Higher-order demand-driven symbolic evaluation

- Computer ScienceProc. ACM Program. Lang.
- 2020

DDSE is defined, a novel SBE which operates on a functional as opposed to imperative language; furthermore, it is defined as a natural extension of a backwards-executing interpreter and a test generation algorithm for this toy language is defined.

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