# Abstract State Machines, Alloy, B, VDM, and Z: Third by Egon Börger, Antonio Cisternino, Vincenzo Gervasi (auth.),

By Egon Börger, Antonio Cisternino, Vincenzo Gervasi (auth.), John Derrick, John Fitzgerald, Stefania Gnesi, Sarfraz Khurshid, Michael Leuschel, Steve Reeves, Elvinia Riccobene (eds.)

This booklet constitutes the complaints of the 3rd overseas convention on summary kingdom Machines, B, VDM, and Z, which came about in Pisa, Italy, in June 2012. The 20 complete papers provided including 2 invited talks and thirteen brief papers have been rigorously reviewed and chosen from fifty nine submissions. The ABZ convention sequence is devoted to the cross-fertilization of 5 comparable state-based and machine-based formal equipment: summary country Machines (ASM), Alloy, B, VDM, and Z. They proportion a standard conceptual beginning and are ordinary in either academia and for the layout and research of and software program platforms. the most objective of this convention sequence is to give a contribution to the combination of those formal equipment, clarifying their commonalities and transformations to higher know how to mix diversified methods for reaching a number of the projects in modeling, experimental validation and mathematical verification of trustworthy fine quality hardware/software systems.

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Springer, Heidelberg (2009) 2. : Refinement Calculus: A Systematic Introduction. Springer (1998) 3. : CSP with Hierarchical State. , Wehrheim, H. ) IFM 2009. LNCS, vol. 5423, pp. 118–135. Springer, Heidelberg (2009) 4. : A semantics for Behavior Trees using CSP with specification commands. Science of Computer Programming 76(10), 891–914 (2011) 5. : Structural operational semantics through contextdependent behaviour. Journal of Logic and Algebraic Programming 80(7), 392–426 (2011) 6. : Communicating Sequential Processes.

Sections 5 and 6 consider control structures and concurrency in the integrated style. The semantics used in Sections 2–6 is a small-step operational semantics. Section 7 compares the approaches for the big-step semantics and Section 8 introduces and compares multi-step semantics. , for call-by-reference parameters to procedures); aliasing is treated in Section 9. 2 Expressions The following naming conventions are used: variables are denoted by x, y, z; constants by κ; expressions by e; states by σ; and labels by .

A test label x = κ where x is local to σ is consistent with σ if σ(x) = κ; all other labels are consistent with σ. Integrated Operational Semantics 29 Plotkin-style rules explicitly merge state information into all the other rules and hence only one additional rule is required to handle the local state construct. 8 P-State-Step (c, σ[x → κ]) −→ (c , σ ) ((state {x → κ} • c), σ) −→ ((state {x → σ (x)} • c ), σ [x → σ(x)]) The main problem with the local-state rule in the Plotkin style is that the variable x is in the domains1 of both σ and {x → κ}.