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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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 ...
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119 views

Boolean formula that agrees with most truth assignments

Let $X_1,\dots,X_n$ be $n$ boolean variables. I have an unknown predicate $P(X_1,\dots,X_n)$ on these boolean variables. Of course, I can view the predicate as a function $f_P : \{0,1\}^n \to \{0,1\}...
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Introduction to bounded model checking that describes model generation

Most of the tutorials I have found on model checking and bounded model checking start with, the model is given as a Kripke Structure M = (S,I,T,L) where S is a set of states, I is a set of initial ...
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How the $EX(f)$ is evaluated in symbolic model checking?

I was reading the symbolic model checking, So there it has mentioned that we can represent the set of states and transition relations of any transition system with the help of ROBDDs. I was trying to ...
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What is the difference between the choice operator and nondeterminism in CSP?

I'm learning CSP now for my research. First time doing formal work in CS. I'm having a hard time understanding the difference between choice $\square$ operator and the nondeterminism $\sqcap$ operator....
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In ontology development, where do axioms come from?

I am developing an ontology. I've got the classes, relationships and I guess I could come up with instances at this point too. But what I'm really focused on is the axioms. I've learnt that the ...
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66 views

Relation between “formal verification”, “formal proof”, and “type systems” for software verification?

I have a vague understanding what formal verification is about, a vague understanding of what the cutting edge is of type theory for programming languages, and a better understanding of formal proofs. ...
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143 views

Most efficient unification algorithm?

I've been trying to find the most efficient unification algorithm by following reference chains on the Wikipedia article on unification. As far as I can tell, the fastest one is the one presented in "...
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110 views

Passing arrays vs functions as arguments in SMT?

In SAT Modulo Theories (SMT), with the theory of uninterpreted functions, all functions are first order, that is, they don't take functions as arguments or return functions. In the theory of arrays, ...
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145 views

Novel escape analysis algorithm for Java

Today I read a very interesting article about escape analysis in Java called Escape Analysis for Object Oriented Languages: Application to Java I think I have some grasp on how escape analysis works ...
2
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32 views

State-of-the-art for Set Constraints?

I've recently stumbled across the field of Set constraints for program analysis, that is, solving equations of the form $exp_1 \subseteq exp_2$, where (depending on the particular variant of the ...
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134 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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87 views

Is there any open-source tools for verifying TCTL formulae over timed automata can be imported into my project?

In my project, there is one important step to automatically verify a timed automata with TCTL formulae. I briefly surveyed the tool UPPAAL that provides a GUI to construct a timed automata and to ...
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45 views

Prove that set of operations form a commutative Monoid

this is my first post on this exchange. I am looking for some help with defining a proof that a set of operations I have designed forms a commutative monoid. (Disclaimer: I am not sure that I have ...
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32 views

How Model Checking works with User Interaction

In order to understand how to apply Model Checking, I am wondering how to apply it to a pseudo-realistic async program. Say I have the following pseudocode: ...
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43 views

How to Construct Kripke Structure States from Nested Functions

Say I have these defined functions: ...
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58 views

Determining when equal 2CNF has pure literal

Let us assume that we have a 2CNF $\varphi(X,y)$. Then we want to see if there is equal formula where $y$ (or $\overline y$) is pure literal. Can this be done in polynomial time? Are there some ...
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59 views

Operational Semantics - Include SKIP, SEQUENCE and IF?

I'm writing a paper for a programming languages workshop in which I have to describe the semantics of a new optimization for Java using Operational Semantics, small step style. I have never used ...
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49 views

How to prevent the change of other objects in Z specification?

I have Z specification of Banking system, whose fragments are: and I think that the specification is OK, but my professor says that this specifiction is completely wrong, because AddAccount ...
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27 views

Effective method for simulating program's cycle

I'm looking for an effective method to simulate a program. Why I am needing this is because sometimes I can only have the program's description, code, and all I have left is pen and paper when I want ...
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431 views

Logical conjunction of two binary decision diagrams

Compute a BDD for $B_{1} \wedge B_{2}$ by using an algorithm that applies dynamic programming. Document the execution of the algorithm by indicating pairs of BDDs $(q_{1},q_{2})$ and the BDD $q_{1} \...
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What's the meaning of this service specification

What's the meaning of the example statement here? "A service specification S describes an interface: it specifies the behavior of certain program elements (functions or subprograms) through ...
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Does formal specification of UX needs special language apart from the general specification languages?

I am fan of Alloy and CASL specification languages and my question is - what is the common practice regarding the formal methods in UX? Does UX require distinct specification languages? Generally one ...
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20 views

How to solve Hoare's problem when precondition contains meta symbols?

This is the proram for which I have to prove correctness using Hoare's Axioms: {X = |x|} if(x<=0) x:=-x; else skip; {X=x} This is my solution so ...
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Confusion regarding algebraic specification of the queue

I was given the following question in the test where I had to write the algebraic specification and its axioms based on below-defined operations: ...
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State-machine semantics of instruction set architectures

An instruction set architecture is an abstraction, a common interface layer between the software and the micro-architecture. The existence of this clearly delineated interface is becoming increasingly ...
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32 views

Formal language representation of program

I have numerous records, composed of words. Each word gets translated into vectors, with a variable number of channels, provided that that word exists in a specific lookup dictionary. For n number of ...
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What is the name for the theory that guarantees proof for negative and not for all possible positives

I have heard of some people mentioning the general rule that says that you can only ever guarantee that a program will not capture the negative cases but you can never guarantee that it captures all ...