From 753dbebbef2dfadd7bc4c0a67b034242a96ddcc1 Mon Sep 17 00:00:00 2001 From: Marco Realacci Date: Mon, 14 Apr 2025 09:24:56 +0200 Subject: [PATCH] vault backup: 2025-04-14 09:24:56 --- .obsidian/workspace.json | 6 +++--- .../notes/11 - LTSs and Bisimulation.md | 9 +++++++++ Pasted image 20250414092202.png | Bin 0 -> 130385 bytes 3 files changed, 12 insertions(+), 3 deletions(-) create mode 100644 Pasted image 20250414092202.png diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 8d3868b..89d64b1 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -238,10 +238,11 @@ "companion:Toggle completion": false } }, - "active": "364a7591f14f033a", + "active": "fbeaa35cc5a8abf1", "lastOpenFiles": [ - "Concurrent Systems/notes/11 - LTSs and Bisimulation.md", "Concurrent Systems/slides/class 11.pdf", + "Concurrent Systems/notes/11 - LTSs and Bisimulation.md", + "Pasted image 20250414092202.png", "Concurrent Systems/slides/class 12.pdf", "Pasted image 20250414091528.png", "Pasted image 20250414091521.png", @@ -268,7 +269,6 @@ "Concurrent Systems/notes/2b - Round Robin algorithm.md", "\u0001.md", "Concurrent Systems/notes/images/Pasted image 20250405000438.png", - "Pasted image 20250405000428.png", "Concurrent Systems/a.md", "Concurrent Systems/notes/9 - Consensus.md", "Concurrent Systems/notes/8 - Enhancing Liveness Properties.md", diff --git a/Concurrent Systems/notes/11 - LTSs and Bisimulation.md b/Concurrent Systems/notes/11 - LTSs and Bisimulation.md index 6ce6c5e..7a08ad2 100644 --- a/Concurrent Systems/notes/11 - LTSs and Bisimulation.md +++ b/Concurrent Systems/notes/11 - LTSs and Bisimulation.md @@ -110,3 +110,12 @@ The only ingredients we used to write down an LTS are: - non-deterministic choice (between a finite set of prefixed processes) - recursion +To simplify process writing, we shall assume to have a finite set Id of processes identifiers and that the definitions we shall give will be parametric + +For every identifier (denoted with capital letters A,B,..), we shall assume a unique definition of the form $A(x1,x2,..,xn) := P$, where names x1,x2,..,xn are all distinct and all included in the names of P. + +Let us denote with P{b1/x1 . . . bn/xn} the process obtained from P by replacing name xi with name bi, for every i = 1,..., n. + +![](../../Pasted%20image%2020250414092202.png) + +The set of non \ No newline at end of file diff --git a/Pasted image 20250414092202.png b/Pasted image 20250414092202.png new file mode 100644 index 0000000000000000000000000000000000000000..09ed907bad95c7d5863cc6686d4fe2285e37afb4 GIT binary patch literal 130385 zcmZ5{b8s(Rv}|lUIk9tM+qP}n<}b-fa$?)IZQHhOoA0~t-S6W4F*Q|FQ#Dn4)?VGK zyLXs^oH#rT4h#?w5WJ*>h!PMGSRfD($QKmIKTlSbwb1{$K|4rjIs*YA4F1OjoJ5WA z3kZl1NK!;l#Uu057cy0KsqMLCnXaVetc!`c7YGy%&h<1m5T12dPiaxa*eIPnT}Ru? zE}t<>GE&$05t&jOfq_}(<|vcXHRXwaXWblv!C*0z{m1!b0?2%N&9tiN?};Y; z%|{o3VPpU_D!EK5gJFLVG-?hz7LZ{t6cQeLCZ4QqhQ5{%I`8H}&(+<^8xa>UFD 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