# Questions tagged [simulation]

Questions about simulating one model in another. This includes simulating reality in any model, or simulating a machine model with Turing machines.

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### Make a tag system simulate a finite automaton?

Tag systems are Turing-complete. I was wondering if there is any easy way to create tag systems that simulate finite automata. So create tag systems that recognize languages, e.g. by having at the end ...
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### Prove that turing machines and the lambda calculus are equivalent

It is known that a turing machine and the lambda calculus are equivalent in power. I now want to try to prove this myself. I think proving that the lambda calculus is at least as powerful as a turing ...
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### Equivalence between different Turing Machines and a definition of simulation

Im having some difficulty understanding how the following two concepts could be related. Equivalence between TMs as is commonly tought According to this site answer, to prove a standard TM model to ...
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### Avoiding collisions in space and time

Say I have an image, represented as a 2D array of pixel values. Also, say I have a set of points on that image where each has a current (x, y) position and a Destination (x, y) associated with it. I ...
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### Simulating QC using nondeterministic Turing machine

Is it more efficient to simulate Quantum Computer using a non-deterministic Turing machine? Would it be more efficient than simulation using a deterministic Turing machine or probabilistic Turing ...
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### Advantages of block-based simulator versus equation-based simulator

I am mostly using Modelica, an equation-based simulator. I assume that block-based simulators like Simulink have their strengths and are better at some tasks, but I am wondering what those are. It ...
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### How can an arbitrary Turing machine running for $t$ steps be simulated in $O(n \log(n))$ steps?

I'm confused about a point regarding the Time Hierarchy Theorem. In order to establish the upper bound for this theorem it's necessary to show the following: We're given $(\langle M \rangle, t)$ ...
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### How to Optimise Each Multithreading Technique? (Cooperative/Preemptive/Simultaneous)

I am currently in the process of writing an IB Extended Essay on the efficacy of multithreading on increasing the performance of applications. So far, I have been able to deduce that there are three ...
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### How to Simulate Nested Parallelism on a Sequential Machine

So I have sets of functions $A$, $B$, $C$, $D$, $E$, and $F$. I want to run them in a nested way. I also want to run some of them in parallel, and some of them in sequence. Here is how that might look:...
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### Strategy / Technique for Proving Equivalence between Multiple Program Forms

Wondering how to prove different compiled forms of a program to be "effectively the same" or "equivalent". For example, you can have a program represented as your normal nested function calls, or ...
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### MATLAB script to model biological branching process

I took an introductory MATLAB course a couple of years ago (and since then have only taken a basic C++ course) and am presently stumped as to how to start with a project I am undertaking. As part of ...
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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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### Constructing a turing machine from a PDA - dealing with non-determinism

Given a PDA $P$, I believe we can simulate it with a turing machine with 2 tapes - one for keep reading the input and one for the stack. But, a PDA transition function may have multiple transitions ...
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### Formal definition of simulation

Assume that the model of computation is a standard Turing machine model with input alphabet $\Sigma = \{0,1\}$, work alphabet $\Gamma = \{0,1,\_\}$, 1 input tape, 1 work tape and 1 output tape. We ...
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### Particles-based models - Discrete or Continuous, why?

I have a theoritical question about particles-based simulator (Reeves,83). I don't know if my question is relevant and I apologize if not. On each frame, the system generate particles and attribute ...
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