By Alan J. Hu (auth.), Karen Yorav (eds.)
This ebook constitutes the completely refereed post-conference court cases of the 3rd overseas Haifa Verification convention, HVC 2007, held in Haifa, Israel, in October 2007.
The 15 revised complete papers awarded including four invited lectures have been rigorously reviewed and chosen from 32 submissions. The papers are geared up in topical tracks on verification, version checking, dynamic verification, merging formal and trying out, formal verification for software program and software program testing.
Read Online or Download Hardware and Software: Verification and Testing: Third International Haifa Verification Conference, HVC 2007, Haifa, Israel, October 23-25, 2007. Proceedings PDF
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Additional info for Hardware and Software: Verification and Testing: Third International Haifa Verification Conference, HVC 2007, Haifa, Israel, October 23-25, 2007. Proceedings
In Section 2 we give the semantics of the logic, and explain the diﬀerence with . In Section 3 we provide some simple observations on the semantics of the logic. In Section 4 we prove that the least ﬁxed point characterization of until is preserved, as well as the other design goals of . In Section 5 we conclude. 2 The Deﬁnition of ltl@ The semantics of  is deﬁned with respect to a clock context. Evaluation of a formula of the form ϕ@clk then sets clk to be the clock context. An unclocked formula can be seen as a formula working in clock context true.
2]) provided ﬁxed point representation of the logic ctl by showing that it can be encoded in the propositional μ-calculus . See  for the ﬁxed-point characterization of the logic ctl∗ (that subsumes both ltl and ctl). On the Characterization of Until as a Fixed Point Under Clocked Semantics 27 Theorem 1. Let ϕ and ψ be ltl@ formulas. Then [[ϕ U ψ]]c is a least ﬁxed point 0 of the functional G+ c (S) = [[X! (ψ ∨ (ϕ ∧ X! S))]]c . Proof: It is easy to see that the functional G+ c is monotonic and thus by TarskiKnaster theorem  it has a least ﬁxed point.
Consider the strong until operator. g. if ψ equals Xp for some proposition p and the clock never ticks. Whereas ϕ U (Xp) demands (among other things) that there would be at least one clock tick. For this reason,  proposed the functional Fc+ deﬁned as follows: Fc+ (S) = [[(t! S)]]c (7) where t! is the strong Boolean expression t asserting that there is a current cycle (and t holds on it). This characterization holds for singly-clocked formulas but not for multiply-clocked formulas. The following counter examples shows that the characterization breaks when multiple clocks are involved.