Get NASA Formal Methods: 7th International Symposium, NFM 2015, PDF

By Klaus Havelund, Gerard Holzmann, Rajeev Joshi

This e-book constitutes the refereed lawsuits of the seventh overseas Symposium on NASA Formal equipment, NFM 2015, held in Pasadena, CA, united states, in April 2015.

The 24 revised general papers awarded including nine brief papers have been rigorously reviewed and chosen from 108 submissions. the themes contain version checking, theorem proving; SAT and SMT fixing; symbolic execution; static research; runtime verification; systematic trying out; application refinement; compositional verification; safeguard and intrusion detection; modeling and specification formalisms; model-based improvement; model-based checking out; requirement engineering; formal techniques to fault tolerance; and functions of formal methods.

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Read Online or Download NASA Formal Methods: 7th International Symposium, NFM 2015, Pasadena, CA, USA, April 27-29, 2015, Proceedings PDF

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Extra info for NASA Formal Methods: 7th International Symposium, NFM 2015, Pasadena, CA, USA, April 27-29, 2015, Proceedings

Example text

In general, a given c ∈ C has many correct abstractions. We say that a ∈ A is a Sum of Abstract Domains 37 minimal correct abstraction of c ∈ C when a is a correct abstraction of c and there is no a ∈ A such that c ≤C γ(a )

The invariant at the last program point in the loop is the one we were looking for. t. this line which makes the result correct. If we use w = 1 44 G. Amato et al. ) y = i−1 else y = i [i = 0, −1 ≤ x ≤ 0, −1 ≤ y ≤ 0] + [1 ≤ i ≤ 5, x = i, y = i] } Fig. 4. Annotated program at the end of the analysis. The highlighted invariant is the one sought after. for i = i + 1 instead of w = 0, the initial invariant i = x = y = 0 for the parallelotope component remains stable for the entire while loop, and all the analysis actually proceeds on the interval domain.

We use the following TLA notations. A primed state function (for example, Q ) in an action refers to the value of the state function in the “next” state (the state after the action); is the temporal-logic operator “always”; given an action N and a list of expressions v1 , . . ,vk abbreviates N ∨ ((v1 = v1 ) ∧ . . ∧ (vk = vk )). Internal state functions are existentially quantified. We also write v for the list of the state components LocState, NotRequests, and Q, and use the auxiliary state function Clock which indicates pairs of a location and a time for which events may remain: ⎞ ⎛ {(e, time(m)) | e ∈ I ∪ E ∪ O, m ∈ Q(e)} ⎠ ∪ Clock = Close ↑ ⎝ {(p, t) | p ∈ P, t ∈ NotRequests(p)} The predicate InitProp defines the initial states of a state machine, while the action MessR ∨ Not ∨ Inp ∨ Outp defines its next-state relation.

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