Give a transition system S and an assertion P such that P is...

Give a transition system $S$ and an assertion $P$ such that $P$ is always true in $S$, but 25 not an inenriant of $S$.
(Hint: An example with three configurations is given in [GT90]. Carn an example with two configurations be found?)

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Invariant

An invariant is a property or condition that holds for all reachable configurations of a transition system, regardless of the transitions taken. It is used to prove that certain errors or undesirable conditions can never occur during the execution of the system, which differentiates an invariant from an assertion that might be true in current configurations but does not necessarily hold for all possible transitions.

Transition System

A transition system is a formal model used to describe the behavior of systems in terms of states and the transitions between them. It consists of a set of configurations (or states), a set of initial configurations, and a relation defining permissible transitions from one configuration to another, providing a framework for analyzing dynamic behavior of systems.

Assertion

An assertion is a logical statement about the properties of configurations within a transition system. It is used to express conditions that are expected to hold true at certain states or throughout system execution, and serves as a means to check correctness or to specify desired safety conditions.

Transcript

Please give Ace some feedback