proof obligations

USAGE SUMMARY

The phrase "proof obligations" is correct and usable in written English.
It can be used in contexts related to legal, academic, or technical discussions where specific requirements for evidence or justification are being outlined. Example: "In the contract, the proof obligations must be clearly defined to ensure compliance with the terms."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

23 human-written examples

B models are validated by discharging proof obligations ensuring safety properties.

Electronic Notes in Theoretical Computer Science

A full suite of proof obligations is presented, covering all aspects of the new framework.

Science of Computer Programming

The properties of models and languages required for the interpretations of the real domains and the proof obligations are identified.

Nuclear Engineering and Design

The PVS interactive theorem prover was then used to apply the appropriate proof strategies and discharge the proof obligations.

Journal of Systems and Software

The semantics of interacting multi-machine systems is described, and proof obligations that ensure correctness are covered.

Science of Computer Programming

Using Hoare-style program verification techniques, their system generates proof obligations that are then handled by an automated theorem prover.

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

35 human-written examples

Basic properties of retrenchment are described, including a justification of the operation proof obligation, simple examples, its use in requirements engineering and model evolution, and simulation properties.

Science of Computer Programming

A design flow based on a synchronous composition specification, and stepwise refinement to LIP composition can be easily conceived, and a proof obligation to show latency equivalence between the synchronous specification and the refinement needs to be discharged.

Electronic Notes in Theoretical Computer Science

They also must demonstrate evidence of mutual dependence such as joint financial obligations or proof of a common household.

The New York Times

Most financial documents will require your last 3 pay stubs and proof of your monthly obligations in the form of monthly mortgage statements, credit card bills and utility bill statements.

WikiHow

A Belgian elected representative noted that in theory there is a legal obligation, citing a recent parliamentary resolution as further proof of the recognition of the obligation.

BMC International Health and Human Rights

Expert writing Tips

Best practice

When discussing formal methods or software verification, use "proof obligations" to refer specifically to the statements that must be proven to ensure the correctness of a system. Be clear about how these obligations are generated and discharged.

Common error

Don't use "proof obligations" loosely to mean any kind of requirement or responsibility. The term specifically refers to conditions that must be mathematically proven, often in the context of formal verification or model checking.

Linguistic Context

The primary grammatical function of "proof obligations" is as a noun phrase that acts as the subject or object of a sentence. It denotes the set of statements that must be proven to guarantee the correctness of a system or design. Ludwig AI confirms its usage in contexts requiring formal validation.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "proof obligations" is a technical term primarily used within the realms of computer science, software engineering, and formal methods. As Ludwig AI confirms, the phrase denotes the conditions that must be mathematically proven to ensure the correctness and reliability of a system. The term is predominantly found in formal, scientific contexts and is crucial for specifying the requirements of formal verification. Common synonyms include "verification conditions" and "validation requirements", but it's important to maintain the specific mathematical connotation of "proof obligations" when using the term.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

proof conditions

A more concise alternative, directly referring to the conditions necessary for a proof.

validation obligations

Focuses on the obligations associated with validating a system or process.

verification conditions

Focuses specifically on the conditions that must be met for verification.

validation requirements

Emphasizes the requirements needed for validation, often in a software development context.

verification duties

Highlights the duties associated with verifying a system or process.

correctness criteria

Highlights the criteria used to determine if something is correct.

soundness conditions

Stresses the conditions needed to ensure soundness, typically in logic or mathematics.

certification requirements

Highlights the requirements for certifying that something meets a certain standard.

demonstration requirements

Emphasizes the requirements to demonstrate the validity or correctness of something.

substantiation criteria

Highlights the criteria for substantiating a claim or statement.

FAQs

How are "proof obligations" used in formal verification?

"Proof obligations" are logical statements that must be proven true to ensure that a system design or implementation meets its specifications. These obligations are often generated by formal methods tools and discharged using theorem provers or model checkers.

What's the difference between "proof obligations" and "validation requirements"?

"Proof obligations" are specific, mathematically precise statements that need formal proof. "Validation requirements" are broader and encompass all the criteria that must be met to validate a system, which may include testing, simulation, and other methods in addition to formal proof.

What tools are used to discharge "proof obligations"?

Tools such as theorem provers (e.g., PVS, Isabelle/HOL) and SMT solvers are commonly used to automatically or interactively discharge "proof obligations". Model checkers like ProB can also be used to verify that these obligations hold within a finite state space.

In what contexts are "proof obligations" typically encountered?

"Proof obligations" are commonly encountered in the development of safety-critical systems, such as aerospace, automotive, and nuclear engineering, where formal verification is used to ensure that the system meets stringent reliability and safety requirements. They also appear in algorithm design and data structure verification.