© 11-'11>. N"rlh·liuIlBnd Publishing Company. 1975 COMP1!i'EH-ASSIS'J'EI) AXlOMA.TIC MA.THEIIATICS: INliOR/:'<.A.L RIGOR
نویسنده
چکیده
Teaching axiomatic mathematics on a computer bas traditionally involved the construction of derivations in a formal system. Heretofore theseforrnal systems have simply been adopted from mathematical logic. Such systems were designed, however, to make it easy to prove results about the system rather than to make it easy to prove results in the system. This paper describes a camputerprogram for teaching axiomatic set theory that makes use of complex inferential methods that are informal and semantically transparent to the user while remaining fully rigorous. This interactive proof checker permits the student to submit informal proofs to be checked for correctness by the program, thus combining the clarity of an informal approach with the rigor of a formal one.
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Co-Expression of DevR and DevRN-Aph Proteins Is Associated with Hypoxic Adaptation Defect and Virulence Attenuation of Mycobacterium tuberculosis
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