Titlebook: Smart Electromechanical Systems; Recognition, Identif Andrey E. Gorodetskiy,Irina L. Tarasova Book 2022 The Editor(s) (if applicable) and T

foreign

Viacheslav V. Kozlov Beach, FL, USA, in January 2018..The 22 revised full papers were carefully reviewed and selected from 22 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomn

责难

nonsensical

Anton A. Maraev,Gennady A. Shut,Alexander N. Timofeev,Sergey V. Mikheev,Artem Kh. Akhmerov,Liliana Sess, they provided the base for a meta-theoretic investigation of IEL, which was continued by Krupski with a proof of cut-elimination, and Su and Sano establishing semantic cut-elimination and the finite model property. However, to the best of our knowledge, no analysis of these results in a constru

Minatory

Artem K. Akhmerov,Aleksandr S. Vasilev using quantifier-free comprehension. This extension is motivated by the fact that cut-elimination can be used as a tool to extract information from real mathematical proofs, and often a crucial part of such proofs is the definition of sets by formulas. This is expressed by the comprehension axiom s

不再流行

Ruslan D. Khlynov,Victoria A. Ryzhova,Igor A. Konyakhin,Valery V. Korotaev This leads to logical systems like the sequent calculus or natural deduction modulo. Even if deduction modulo is logically equivalent to first-order logic, proofs in such systems are quite different and dramatically simpler with one cost: cut elimination may not hold anymore. We prove first that it