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The skew Boolean propositional calculus (
) is a generalization of the classical propositional calculus that arises naturally in the study of certain well-known deductive systems. In this article, we consider a candidate presentation of
and prove it constitutes a Hilbert-style...
This paper describes the second version of the Mizar Problems for Theorem Proving (MPTP) system and first experimental results obtained with it. The goal of the MPTP project is to make the large formal Mizar Mathematical Library (MML) available to current first-order automated theorem provers...
As products are growing more complex, so is their documentation. With an increasing number of product options, the diversity in service and maintenance procedures grows accordingly. This trend also holds for large-scale medical devices such as magnetic resonance (MR) tomographs. Siemens Medical...
We present a case study using ACL2 to verify a nontrivial algorithm that uses efficient data structures. The algorithm receives as input two first-order terms, and it returns a most general unifier of these terms if they are unifiable, failure otherwise. The verified implementation stores terms...
We describe an approach to verifying bit-level pipelined machine models using a combination of deductive reasoning and decision procedures. While theorem-proving systems such as ACL2 have been used to verify bit-level designs, they typically require extensive expert user support. Decision...
Manual placement of components is often used in FPGA circuit design in order to achieve better results than would be generated by automatic place and route algorithms. However, explicit placement of basic elements in parametrized hardware descriptions is tedious and error-prone. We describe a...
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