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By Jie Ding, Jane Hillston (auth.), Michael Johnson, Dusko Pavlovic (eds.)

This booklet constitutes the refereed complaints of the thirteenth overseas convention on Algebraic method and software program expertise, AMAST 2010, held in Lac-Beauport, quality controls, Canada, in June 2010.

The 14 revised complete papers provided have been conscientiously reviewed and chosen from 33 submissions. The papers are geared up in 1 invited paper, 10 contributed learn papers, and four process demonstrations.

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Extra info for Algebraic Methodology and Software Technology: 13th International Conference, AMAST 2010, Lac-Beauport, QC, Canada, June 23-25, 2010. Revised Selected Papers

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1–23. Springer, Heidelberg (2006) 5. : Product form solution for an insensitive stochastic process algebra structure. Performance Evaluation 50(2-3), 129–151 (2002) 6. : Logical properties of P/T system and their analysis. MATCH Summer School (Spain) (Septemper 1998) Structural Analysis for Stochastic Process Algebra Models 27 7. : Structural and Fluid Analysis of Large Scale PEPA models — with Applications to Content Adaptation Systems. D. thesis, The Univeristy of Edinburgh (2010) 8. : Elementary structural analysis for PEPA.

2: LRSPsf (S) = {m ∈ N4 | Φm = Φm0 } = {(x1 , M − x1 , y1 , N − y1 )T | x1 , y1 ∈ N, 0 ≤ x1 ≤ M, 0 ≤ y1 ≤ N }. So K ∩ LRSPsf = ∅. That is to say, the system has no deadlocks. Example 2: deadlocks in some situations. Now we consider a variant of Model 1 in which all actions are shared, and the model has a consistent and EQ P/T structure. 24 J. Ding and J. Hillston U ser1 U ser2 P rovider1 P rovider2 task1 task2 −1 1 1 −1 −1 1 1 −1 ⎛ ⎛ ⎞ −1 1 ⎜ 1 −1 ⎟ ⎟, C=⎜ ⎝ −1 1⎠ 1 −1 CPre 1 ⎜0 =⎜ ⎝1 0 ⎞ 0 1⎟ ⎟.

A VPKA is a structure (K, +, ·, ∗ , 0, 1, G) generated by Σi , Σc and Σr under the axioms of KA and such that the following y additional laws hold for each expression (|x B |) , on a finite set of symbols V , representing an operator of G along with its operands, and for all x, y, y , u, u ∈ V and s(u,u ) ∈ K: y m x y x y (| B |) · (| B |) y w y for [ c ↓ ↑ r ] ∈ B2 , (| B |), z (1) x y w c · (| B |) · r x y for [ m ] ∈ B1 , (| B |), x z (2) y (| B |) , x (3) Verification of Common Interprocedural Compiler Optimizations 33 ∧ u, u | (u, u ) ∈ F∗B ({(x, y)}) : u (∧ m | [ m ] ∈ B1 : m u s(u,u ) ) v ∧ (∧ m, v | [ m ] ∈ B1 : m · s(v,u ) u w s(u,u ) ) u ∧ (∧ c, z, r, w | [ c ↓ ↑ r ] ∈ B2 : c · s(z,w) · r z u w v ∧ (∧ c, z, r, w, v | [ c ↓ ↑ r ] ∈ B2 : c · s(z,w) · r · s(v,u ) z u y → (| B |) (4) s(u,u ) ) s(u,u ) ) s(x,y) , x ∧ u, u | (u, u ) ∈ B∗B ({(x, y)}) : u (∧ m | [ m ] ∈ B1 : m u s(u,u ) ) u ∧ (∧ m, v | [ m ] ∈ B1 : s(u,v) · m v w s(u,u ) ) u ∧ (∧ c, z, r, w | [ c ↓ ↑ r ] ∈ B2 : c · s(z,w) · r z u w u ∧ (∧ c, z, r, w, v | [ c ↓ ↑ r ] ∈ B2 : s(u,v) · c · s(z,w) · r z v y → (| B |) (5) s(u,u ) ) s(u,u ) ) s(x,y) .

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