Isabelle (proof assistant)

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Related lectures (31)

Markov Chains: Applications and Coupled Chains

Covers Markov chains, coupled chains, and their applications, emphasizing the importance of irreducibility.

Inductive Propositions: Understanding Evaluation in Coq

Covers inductive propositions in Coq, focusing on evaluation rules for arithmetic expressions and their applications in defining partial and non-deterministic functions.

What is a Formal Proof?

Covers the concept of formal proof systems, their structure, and soundness.

Formal Proofs: Checking Invariants and Bounded Model Checking

Explores formal proofs, satisfiability problems, and inductive invariants using SAT queries in sequential circuits.

Conformity in Normal Components

Explores conformity in normal components across edges and the importance of continuity for generic components.

Finite Systems Expressed with Formulas

Explores encoding finite systems with boolean functions, propositional logic, inductive invariants, and formal proof systems.

Trustworthy Systems Research

Discusses the need for proven trustworthiness in computer systems and the rigorous approach to achieving true trustworthiness in critical systems.

Finite Automata: Recap

Covers the fundamentals of finite automata and formal languages.

Propositional Logic: Translations and Equivalences

Covers translating natural language to propositional logic and proving tautologies.

Mathgraph Theorem Prover

Introduces the Mathgraph Theorem Prover, showcasing its unique approach to representing propositions and organizing graphs for first-order logic.

Propositional Resolution

Explores completeness in propositional logic, resolution on clauses, conjunctive form, unit resolution, SAT solvers, and proof generation.

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