# Questions tagged [formal-methods]

a particular kind of mathematically-based technique for the specification, development and verification of software and hardware systems.

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### Does Rice's theorem apply to sequential logic circuits?

I am wondering if Rice's theorem (or something similar to that) applies also to sequential circuits. I.e. given any finite sequential circuit, can there be an algorithm that can formally verify any ...
1 vote
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### Interpreting a proof of $2^\mathbb{N}$ being uncountable

Suppose I have the following proof: ...
812 views

### A general picture of formal verification in software

I'm trying to piece together a general picture of the state of formal software verification, and I'm having a good bit of trouble. For context, I come from mostly a math background. I'm quite familiar ...
80 views

### How to prove that replacing a character in a string in both C and JavaScript is equivalent?

I would like to try some different proofs, specifically in proving equivalence of the implementation of some feature in two different programming languages (C and JS in this question). This is about ...
1 vote
120 views

### is (infinitely often p) ∨ (infinitely often ¬p) valid?

i'm trying to prove every trace over PROP = {p} is a model of the formula. I am very stuck in figuring out a model pi that satisfies this formula, can anyone point me in the right direction?
85 views

### Z-Specification = Routes

Im trying to make an invariant for this Z schema about routes. 1) The invariant should express that each route should contain at least 20 different places. First of all i thought of doing a universal ...
1 vote
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### Can we say McCarthy and Hoare had the same objective in the 60s regarding a mathematical theory of computation?

I don't think there's any way to ask a very precise question here, so this might be considered opinion based. Nevertheless, it seems the question is clear enough because I'm asking whether these two ...