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  2. Proof assistant - Wikipedia

    en.wikipedia.org/wiki/Proof_assistant

    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 ...

  3. Formal verification - Wikipedia

    en.wikipedia.org/wiki/Formal_verification

    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 ...

  4. Model checking - Wikipedia

    en.wikipedia.org/wiki/Model_checking

    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 ...

  5. Automated theorem proving - Wikipedia

    en.wikipedia.org/wiki/Automated_theorem_proving

    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 .

  6. Mathematical logic - Wikipedia

    en.wikipedia.org/wiki/Mathematical_logic

    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.

  7. Isabelle (proof assistant) - Wikipedia

    en.wikipedia.org/wiki/Isabelle_(proof_assistant)

    The Isabelle theorem prover is free software, released under the revised BSD license. Features. [edit] Isabelle is generic: it provides a meta-logic(a weak type theory), which is used to encode object logics like first-order logic(FOL), higher-order logic(HOL) or Zermelo–Fraenkel set theory(ZFC).

  8. Satisfiability modulo theories - Wikipedia

    en.wikipedia.org/wiki/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 lists, arrays, bit vectors, and ...

  9. List of model checking tools - Wikipedia

    en.wikipedia.org/wiki/List_of_model_checking_tools

    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 ...