Questions tagged [transition-systems]

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Drawing transition diagram from transition table

I have a DFA transition table like \begin{array}{cc|c|c} & & 0 & 1 \\ \hline \to & p & qs & q \\ * & q ...
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1answer
15 views

NFA designing for strings starting with $01$

The question was asked Construct an NFA with set of all strings that start with $10$. The solution provided to me is But my question is what if the automaton receives an input $0$ at the starting? ...
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1answer
46 views

Reducing infinite paths of a transition system to its set of sets of states

Consider a transition system defined by $\langle S,T \rangle$, where $S$ is a set of states and $T \subseteq S \times S$ is a set of transitions, where $T$ is total, i.e. for every state $s$ there is ...
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Transition System Problem

I'm very confused about this question, would it be correct to say that (a) is false since executing the state ~req ready being repeated would invalidate that statement ?
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1answer
22 views

Stratification of Bisimilarity : $\sim$ does not coincide with $\sim_\omega$

I am reading Sangiorgi's paper On the origins of bisimulation an coinduction. Definition 2.5, on page 5, defines Stratification of Bisimilarity: Let $W$ be the states of an LTS. We set: $\sim_0 \...
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0answers
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Bisimulation, bisimulation equivalence and simulation equivalence?

I got a little confused with these 3 concepts. Is there a difference between bisimulation and bisimulation equivalence and if yes, then what is it? Also, if we say that the LTS's X and Y are bisimilar,...
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1answer
102 views

Restriction and re-labeling on CCS

In a process like $$ R \stackrel{def}=((a.\bar{b}.0)\setminus\{b\})[a\to b]\mid(\bar{b}.b.0)+\bar{b}.c.0 $$ $b$ is restricted to perform on the inner process of RHS $(a.\bar{b}.0)\setminus\{b\}$, ...
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1answer
62 views

State Machine and State transition Table - Explanation and Creation Of

How do I create a state transition table/array in actual code/pseudo-code? I haven't experienced the "ah-ha" moment yet with the state machine to coding (and I really want to). I've looked at several ...
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1answer
106 views

CCS synchronization

Within CSS we talk about binary interactions. Does this prevent synchronizing multiple processes in one step? Example: $P_1 ::= a.D$ $P_2 ::= \overline{a}.D$ $P_3 ::= a.D$ Let's consider the ...
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1answer
438 views

Modeling a sequential circuit as a transition system

I was asked to model the following sequential circuits C1, C2 as transition systems (i.e. identify the output y function and register functions r1, r2, r3) For C2 there appears to be not input x and ...
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0answers
150 views

Proving weak simulation

I want to prove something but I am not sure if it is the right way to do it. I have two LTS that define different semantics. A=($Q_a,Λ,\to)$, and B=$(Q_b,Λ\cup\{\beta\},\leadsto)$, where $\beta$ is ...
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1answer
689 views

The Interleaved Transition System for 2 Independent and Concurrent Transition Systems

This question is about Model Checking for Software Formal Verification How do you model the joint behavior of 2 independent and concurrent transition systems? Specifically, given the two independent ...
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4answers
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What is the difference (if any) between transition systems and finite automata?

is there any difference between transition systems and finite automata? Is it that transition systems consist of both NFA (nondeterministic finite automata) and DFA (deterministic finite automata)?
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0answers
86 views

Example of Zeno timed automaton

Is there an example of a timed automaton that requires infinite clock precision, in order to be controller so as to avoid a deadlock or bad state? I.e. a transition system that consists of nodes ...
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0answers
37 views

How to prove that justice isn't enough to produce all naturals?

I'm doing the exercises from the first chapter of the book "Temporal Verification of Reactive Systems Safety" by Manna and Pnueli. However I find very difficult to solve the point c of problem 0.2. ...
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1answer
848 views

Modelling a basic sequential circuit as a transition system?

I'm going through Dr Joost-Pieter Katoen's slides and stumbled upon this: For some reason I can't quite make out how the transition system relates to the sequential circuit. If I had a question for ...
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1answer
250 views

Applying DFS algorithm to a transition system to find reachable states

Currently working on a past exam question which tells me to compute the product of two transition systems and then use DFS to find the reachable states of the product. I learnt how to compute the ...
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1answer
2k views

What is the difference between a Transition System and a Program Graph? (model checking) [closed]

As the above question says. I'm wondering if a transition system is the same as a program graph or they are two different things? Thank you.