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Titlebook: Automated Reasoning; 10th International J Nicolas Peltier,Viorica Sofronie-Stokkermans Conference proceedings 2020 Springer Nature Switzerl

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楼主: Julienne
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Control Dynamics of Human Metasystemsre general than any of the automation tactics natively available in Coq. It aims to handle as large a part of the Calculus of Inductive Constructions as practically feasible..For efficiency, our procedure is not complete for the entire Calculus of Inductive Constructions, but we prove completeness f
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Control Dynamics of Human Metasystemsuctive and coinductive datatypes can be built modularly from bounded natural functors (BNFs), a class of well-behaved type constructors. Composition, fixpoints, and—under certain conditions—subtypes are known to preserve the BNF structure. In this paper, we tackle the preservation question for quoti
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Global Commons in the Global Brain modify source code in large software projects. Consistent conventions in verification projects based on proof assistants, such as Coq, increase in importance as projects grow in size and scope. While conventions can be documented and enforced manually at high cost, emerging approaches automatically
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World-Systems Evolution and Global Futureserative programs from nondeterministic functional source code. Our approach does not require committing to a single inflexible compilation strategy and instead makes it straightforward to create domain-specific code translators. In addition to a small set of core definitions, our framework is a larg
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https://doi.org/10.1007/978-3-8349-4139-8en formalizing mathematics in proof assistants. The packed classes methodology is a generic design pattern to define and combine mathematical structures in a dependent type theory with records. When combined with mechanisms for implicit coercions and unification hints, packed classes enable automate
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https://doi.org/10.1007/978-3-8349-4139-8pts of a saturating theorem prover. The system is written in extensively commented Python, explaining data structures, algorithms, and many of the underlying theoretical concepts. The prover implements binary resolution with factoring and optional negative literal selection. Equality is handled by a
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The Cambrian Explosion of Brands,s, but plays a critical role in developing reusable abstractions in libraries. Most ITPs support such extensions in the form of restrictive “syntax sugar” substitutions and other ad hoc mechanisms, which are too rudimentary to support many desirable abstractions. As a result, libraries are littered
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Organizational Structures for Global Brandsolyhedra in the proof assistant .. This builds on the formalization of a library providing the basic constructions and operations over polyhedra, including projections, convex hulls and images under linear maps. Moreover, we design a special mechanism which automatically introduces an appropriate re
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