The deduction theorem allows for the proof of implications from a hypothesis without explicitly axiomatizing it. It is an important tool in Hilbert-style deduction systems, providing shorter and more comprehensible proofs than would be possible without it. It holds for all first-order theories with the usual deductive systems for first-order logic, but fails to hold in certain other formal proof systems.
Stanford University
Fall 2019
This course emphasizes SAT and SMT technology and its applications, offering an understanding of theoretical foundations and how to implement a small theory solver. Applications of SAT/SMT technology in the context of verification are also covered. The advanced topics and lack of specified prerequisites suggest this is a high-level course.
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