May 15, 2024 · Model checking: Depth-first search can be used in model checking, which is the process of checking that a model of a system meets a certain set of properties. 10. Backtracking: Depth-first search can be used in backtracking algorithms.

How can we check that a given system is deadlock-free? Use reachability analysis! Generate all reachable states ... ... Enumerative (also called \explicit state"). I These are basically search algorithms on directed graphs. Bounded model-checking using SAT/SMT solvers.

Mar 29, 2025 · Breadth-First Search (BFS) and Depth-First Search (DFS) are two fundamental algorithms used for traversing or searching graphs and trees. This article covers the basic difference between Breadth-First Search and Depth-First Search.

LTL Model Checking • Cycle detection – Nested DFS • Start a second DFS • Match the start state in the second DFS – Cycle! • Second DFS needs to be started at each state? – Accepting states only will suffice • Each second DFS is independent – If started in post-order states need to be visited at most once in the second DFS ...

In this paper, we present a framework in Isabelle/HOL [13] for modeling and verification of DFS based algorithms, including the generation of efficiently executable code. The framework follows a parametrization approach: We model a general DFS algorithm with extension points.

Mar 1, 2018 · Fortunately enough, an effective propositional model checking algorithm has been introduced in 1962, by Martin Davis, Hillary Putnam, George Logemann, and Donald Loveland. It called Davis-Putnam algorithm, aka DPLL. DPLL is a clever DFS-based algorithm with powerful pruning to avoid unnecessary subtree in DFS tree.

Oct 17, 2015 · This paper proposes an algorithm called depth-first heuristic search (DFHS), which performs depth-first search but backtracks at states that unlikely lead to an error. The likelihood is evaluated using cut-off functions defined by the user.

This paper shows how the VerCors concurrency verifier is used to mechanically verify the parallel nested depth-first search (NDFS) graph algorithm of Laarman et al. . We also demonstrate how having a mechanised proof supports the easy verification of …

Stavros Tripakis (UC Berkeley) EE 244, Fall 2016 Model Checking 9 / 68. Reachability Algorithms. Enumerative (also called “explicit state”). I (^) These are basically search algorithms on directed graphs. Symbolic. I (^) Bounded model-checking using SAT/SMT solvers. I (^) Symbolic reachability. An Enumerative Algorithm: Depth-First Search

Jul 22, 2023 · The NDFS algorithm performs a DFS, and within it, a second DFS, hence the name Nested Depth-First Search. The first DFS is performed to search for accepting states, i.e., \(\langle s, q \rangle \in F_\otimes \) in the product \(K \otimes B_{\lnot \varphi }\) .