Soundness

Formal sciences
Logic
Classical logic
First-order logic

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Related lectures (11)

Soundness and Completeness of a Propositional Proof System

Explores the importance of soundness and completeness in a propositional proof system.

What is a Formal Proof?

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

Proofs and Computations: A Journey Through Mathematical Theory

Explores historical mathematical proofs, decision problems, deductive systems, probabilistic and quantum proofs, and interactive proof systems.

Automating First-Order Logic Proofs Using Resolution

Covers first-order logic, resolution proofs, Skolem functions, and satisfiability checking in mathematics and program verification.

Propositional Resolution

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

Zero-Knowledge Proofs: Concepts and Applications

Explores zero-knowledge proofs, their properties, practical applications, and implementation in real-world scenarios, including attribute-based credentials.

Theorem Proving and Vampire

Explores theorem proving in first-order logic and the saturation-based approach, highlighting the Vampire theorem prover.

Quantum Delegation Protocols

Covers classical single qubit Hamiltonian verification and quantum delegation protocols.

Case Analysis Rule and Propositional Resolution

Covers the case analysis rule, propositional resolution, soundness, completeness, and resolution on clauses, with practical exercises included.

Automating First-Order Logic Proofs Using Resolution

Covers first-order logic syntax, semantics, Skolemization, resolution, and normal form transformations.

Hoare Logic: Foundations and Applications

Covers Hoare Logic, its foundations, applications, and significance in program verification.

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