Tov and Xxxxxxxx Xxxxxxx Sample Clauses

Tov and Xxxxxxxx Xxxxxxx. Practical affine types. In Proceedings of POPL’11, pages 447–458. ACM, 2011. Xxxxxx Xxxxxx. A complement to blame. In Proceedings of SNAPL’15, LIPIcs 32, pages 309–320. Schloss Dagstuhl, 2015. Xxxxxx Xxxxxx and Xxxxxx Xxxxx Xxxxxxx. Well-typed programs can’t be blamed. In Proceedings of ESOP’09, LNCS 5502, pages 1–16. Springer, 2009. A Supplement to Section 3‌ We write fn(P ) for the set of free names of P . Below are the reduction rules of processes that we have omitted from Table 3. [R25] e → e′ ⟨e⟩p → ⟨e′⟩p [R26] P → Q P R → Q R [R27] P → Q (νa)P → (νa)Q [R28] P ≡ P′ P′ → Q′ Q′ ≡ Q P → Q a, a+, a- /∈ fn(Q) (νa)P Q ≡ (νa)(P Q) ≡ Rule [R25] lifts reduction from expressions to processes, and rules [R26–R28] close reductions under parallel compositions, sessions, and structural congruence , which is the least congruence that satisfies the axioms below: P Q ≡ Q P P (Q R) ≡ (P Q) R ⟨()⟩p P ≡ P In several of the proofs that follow we implicitly use the next results, stating that the reduction of expressions is deterministic.
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