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Automated Discovery of Geometric Theorems Based on Vector Equations

期刊: JOURNAL OF AUTOMATED REASONING, 2021; 65 (6)

Automated discovery of geometric theorems has attracted considerable attention from the research community. In this paper, a new method is proposed to......

Priority Inheritance Protocol Proved Correct

期刊: JOURNAL OF AUTOMATED REASONING, 2020; 64 (1)

In real-time systems with threads, resource locking and priority scheduling, one faces the problem of Priority Inversion. This problem can make the be......

A Conflict-Driven Solving Procedure for Poly-Power Constraints

期刊: JOURNAL OF AUTOMATED REASONING, 2020; 64 (1)

This paper studies the satisfiability problem of poly-power constraints (conjunctions of poly-power equations and inequalities), in which poly-powers ......

Formalization of Geometric Algebra in HOL Light

期刊: JOURNAL OF AUTOMATED REASONING, 2019; 63 (3)

Although the theories of geometric algebra (GA) are widely applied in engineering design and analysis, the studies on their formalization have been sc......

JIF:1.17

Toward Compositional Verification of Interruptible OS Kernels and Device Drivers

期刊: JOURNAL OF AUTOMATED REASONING, 2018; 61 (1-4)

An operating system (OS) kernel forms the lowest level of any system software stack. The correctness of the OS kernel is the basis for the correctness......

JIF:1.17

Automated Reducible Geometric Theorem Proving and Discovery by Grobner Basis Method

期刊: JOURNAL OF AUTOMATED REASONING, 2017; 59 (3)

In this paper, we investigate the problem that the conclusion is true on some components of the hypotheses for a geometric statement. In that case, th......

JIF:1.32

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