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Verification Condition Generator
A verification condition generator is a common sub-component of an automated program verifier that synthesizes formal verification conditions by analyzing a program's source code using a method based upon Hoare logic. VC generators may require that the source code contains logical annotations provided by the programmer or the compiler such as pre/post-conditions and loop invariants (a form of proof-carrying code). VC generators are often coupled with SMT solvers in the backend of a program verifier. After a verification condition generator has created the verification conditions they are passed to an automated theorem prover, which can then formally prove the correctness of the code. Methods have been proposed to use the operational semantics Operational semantics is a category of formal programming language semantics in which certain desired properties of a program, such as correctness, safety or security, are verified by constructing proofs from logical statements about its e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Program Verifier
In the context of hardware and software systems, formal verification is the act of Mathematical proof, proving or disproving the correctness (computer science), correctness of intended algorithms underlying a system with respect to a certain formal specification or property, using formal methods of mathematics. Formal verification can be helpful in proving the correctness of systems such as: cryptographic protocols, Combinational logic, combinational circuits, digital circuits with internal memory, and software expressed as source code. The verification of these systems is done by providing a formal proof on an abstract mathematical model of the system, the correspondence between the mathematical model and the nature of the system being otherwise known by construction. Examples of mathematical objects often used to model systems are: finite-state machines, labelled transition systems, Petri nets, vector addition systems, timed automaton, timed automata, hybrid automata, process ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hoare Logic
Hoare logic (also known as Floyd–Hoare logic or Hoare rules) is a formal system with a set of logical rules for reasoning rigorously about the correctness of computer programs. It was proposed in 1969 by the British computer scientist and logician Tony Hoare, and subsequently refined by Hoare and other researchers. The original ideas were seeded by the work of Robert W. Floyd, who had published a similar system for flowcharts. Hoare triple The central feature of Hoare logic is the Hoare triple. A triple describes how the execution of a piece of code changes the state of the computation. A Hoare triple is of the form : \ C \ where P and Q are '' assertions'' and C is a ''command''.Hoare originally wrote "P\Q" rather than "\C\". P is named the '' precondition'' and Q the '' postcondition'': when the precondition is met, executing the command establishes the postcondition. Assertions are formulae in predicate logic. Hoare logic provides axioms and inference rules for all th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof-carrying Code
Proof-carrying code (PCC) is a software mechanism that allows a host system to verify properties about an application via a formal proof that accompanies the application's executable code. The host system can quickly verify the validity of the proof, and it can compare the conclusions of the proof to its own security policy to determine whether the application is safe to execute. This can be particularly useful in ensuring memory safety (i.e. preventing issues like buffer overflows). Proof-carrying code was originally described in 1996 by George Necula and Peter Lee. Packet filter example The original publication on proof-carrying code in 1996Necula, G. C. and Lee, P. 1996. Safe kernel extensions without run-time checking. SIGOPS Operating Systems Review 30, SI (Oct. 1996), 229–243. used packet filters as an example: a user-mode application hands a function written in machine code to the kernel that determines whether or not an application is interested in processing a par ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
SMT Solver
In computer science and mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable. It generalizes the Boolean satisfiability problem (SAT) to more complex formulas involving real numbers, integers, and/or various data structures such as lists, arrays, bit vectors, and strings. The name is derived from the fact that these expressions are interpreted within ("modulo") a certain formal theory in first-order logic with equality (often disallowing quantifiers). SMT solvers are tools which aim to solve the SMT problem for a practical subset of inputs. SMT solvers such as Z3 and cvc5 have been used as a building block for a wide range of applications across computer science, including in automated theorem proving, program analysis, program verification, and software testing. Since Boolean satisfiability is already NP-complete, the SMT problem is typically NP-hard, and for many theories it is undecidable. Re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Automated Theorem Prover
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major impetus for the development of computer science. Logical foundations While the roots of formalised logic go back to Aristotle, the end of the 19th and early 20th centuries saw the development of modern logic and formalised mathematics. Frege's ''Begriffsschrift'' (1879) introduced both a complete propositional calculus and what is essentially modern predicate logic. His ''Foundations of Arithmetic'', published 1884, expressed (parts of) mathematics in formal logic. This approach was continued by Russell and Whitehead in their influential ''Principia Mathematica'', first published 1910–1913, and with a revised second edition in 1927. Russell and Whitehead thought they could derive all mathematical truth using axioms and inference ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Operational Semantics
Operational semantics is a category of formal programming language semantics in which certain desired properties of a program, such as correctness, safety or security, are verified by constructing proofs from logical statements about its execution and procedures, rather than by attaching mathematical meanings to its terms ( denotational semantics). Operational semantics are classified in two categories: structural operational semantics (or small-step semantics) formally describe how the ''individual steps'' of a computation take place in a computer-based system; by opposition natural semantics (or big-step semantics) describe how the ''overall results'' of the executions are obtained. Other approaches to providing a formal semantics of programming languages include axiomatic semantics and denotational semantics. The operational semantics for a programming language describes how a valid program is interpreted as sequences of computational steps. These sequences then ''are'' t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logic For Programming, Artificial Intelligence, And Reasoning
The International Conference on Logic for Programming, Artificial Intelligence and Reasoning (LPAR) is an academic conference aiming at discussing cutting-edge results in the fields of automated reasoning, computational logic, programming languages and their applications. It grew out of the Russian Conferences on Logic Programming 1990 and 1991; the idea to organize the conference was largely due to Robert Kowalski who proposed to create the Russian Association for Logic Programming. The conference was renamed in 1992 to "Logic Programming ''and Automated Reasoning''" (LPAR) to reflect its extended scope, due to considerable interest in automated reasoning in the Former Soviet Union. After a break from 1995 to 1998, LPAR continued in 1999 under the name "Logic ''for'' Programming and Automated Reasoning", to indicate an extension of its logic part beyond logic programming. In 2001, the name changed to "Logic for Programming, Artificial ''Intelligence and'' Reasoning". The LPAR ste ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |