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Proof assistant. In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine collaboration. This involves some sort of interactive proof editor, or other interface, with which a human can guide the search for proofs, the details ...
In computer science, model checking or property checking is a method for checking whether a finite-state model of a system meets a given specification (also known as correctness ). This is typically associated with hardware or software systems, where the specification contains liveness requirements (such as avoidance of livelock) as well as ...
Formal verification is a key incentive for formal specification of systems, and is at the core of formal methods . It represents an important dimension of analysis and verification in electronic design automation and is one approach to software verification. The use of formal verification enables the highest Evaluation Assurance Level ( EAL7 ...
t. e. Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power.
Automated theorem proving. 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 .
Satisfiability modulo theories. 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 ...
A list of verification tools for probabilistic, stochastic, hybrid, and timed systems. Common benchmarks. MCC (models of the Model Checking Contest): a collection of hundreds of Petri nets originating from many academic and industrial case studies. VLTS (Very Large Transition Systems): a collection of Labelled Transition Systems of increasing ...
Interactive Proof. Proofs have been done using embeddings of Separation Logic into interactive theorem provers such as the Coq proof assistant and HOL (proof assistant). In comparison to the program analysis work, these tools require more in the way of human effort but prove deeper properties, up to functional correctness.