What goes into proving two complicated programs are equivalent?

2 Answers 2 · An abstract model of the two programs is created. · The abstract model can be traversed and e.g. a condition coverage is reached ...

Proving equivalence of programs - Stack Overflow

To prove this across many optimizations (i.e. at scale), typically you might first throw some random inputs at both sequences. If they're not ...

How to determine whether two programs are 'algorithmically ... - Quora

Proof of algorithm equivalence involves rigorous mathematical proofs that may be concise and clear , or labyrinthine and murky. All such ...

Equiv: Program Equivalence - Software Foundations

... to go. The ... to prove some nondeterministic programs equivalent ... If two programs approximate each other in both directions, then they are equivalent.

Ask: Is there a way to prove the logical equivalence of two pieces of ...

No, it's not possible for any nontrivial program, because it's equivalent to the halting problem: take a program you know halts and determine if ...

When can we say that two programs are different?

The other extreme is to say two programs are equivalent iff they compute the same function (or show the same observable behavior in similar ...

If proofs are equivalent to programs (in a precise sense!), then how ...

Basic mathematics (arithmetic, boolean algebra, modular arithmetic...) are not that difficult, and indeed they are a prerequisite to programming ...

What does it mean to suspect that two conjectures are logically ...

Then it may be that two theorems both have high difficulty but the equivalence has low difficulty, hence if we want to prove both then in some ...

Equiv: Program Equivalence

... proof is going to go. The ... holds allows us to prove that these two programs are ... to prove some non-deterministic programs equivalent or non-equivalent.

2.2: Logically Equivalent Statements - Mathematics LibreTexts

Working with a Logical Equivalency. Suppose we are trying to prove the following for integers x and y:

Why are the duals of two equivalent compound propositions ... - Vaia

If the outcome columns for P and Q are identical, they are logically equivalent. Logical equivalence is a powerful tool because it allows you to simplify ...

Proving Equivalence Between Complex Expressions Using Graph ...

rule sequence between two equivalent programs for ... target has roughly a 1 in 10,000 chance of being a correct proof of equivalence between the ...

Proving and Disproving Equivalence of Functional Programming ...

(a) If the two programs are equivalent, label f as “correct” and storem as its reference solution. Then add f itself to the priority queue of reference ...

How to compare two functions for equivalence, as in (λx.2*x) == (λx.x ...

... difficult to make practical which I find never gets mentioned. Getting your program to type check requires proving arbitrary properties are ...

Programming Proofs and Proving Programs - YouTube

Developers turn coffee into programs, whilst mathematicians turn it into proofs. Amazingly, proofs and programs are not just made from the ...

Lab: Program Equivalence Proofs

To show that an equivalence between two expressions holds, it is sufficient to show that both sides evaluate to identical values. The right-hand side of the ...

When are two proofs of the same theorem really different proofs

Note that showing two proofs are different is similar to showing that two formulas are not equal, which is similar to giving a proof of non- ...

Proof of Equivalence (The Following Are Equivalent) - YouTube

Proof of Equivalence (The Following Are Equivalent) ... Go to channel · Introduction to Proof Methods! ... The Following Are Equivalent Proof.

Operational Semantics and Program Equivalence

proof that the expression in equation (1) is contextually equivalent to that in ... Definition 3.1 is difficult to ... comes to using an induction principle to ...

Analogies between programs and proofs

It should help you see some of the similarities between the two processes, writing a program and writing a proof, and help you apply some of what you have ...