In this paper, a new class of hierarchically definable graphs are proposed and they are proper subgraphs of Hierarchic Cubic graphs. These graphs are based on the Fibonacci series by changing initial conditions. When the initial conditions are changed, then the structure of obtained graph will be changed. Thus, we obtained a series of hierarchically definable graphs. The obtained graphs have lo...

Marten van Schijndel & William Schuler (The Ohio State University) [email protected] Previous studies of eye movements during reading have debated whether humans use hierarchic syntax during processing [2, 1]. This study demonstrates that hierarchic syntax predicts reading times even over a strong baseline. Further, this work introduces a simple method to improve language models for future s...

Beagle is an automated theorem prover for first-order logic modulo built-in theories. It implements a refined version of the hierarchic superposition calculus. This system description focuses on Beagle’s proof procedure, background reasoning facilities, implementation, and experimental results.