A new face of the branching recurrence of computability logic

TL;DR

This paper presents a simplified version of the branching recurrence operation in computability logic and proves its equivalence to the traditional version, enhancing understanding and potential applications.

Contribution

It introduces a new simplified form of the branching recurrence in computability logic and establishes its equivalence to the canonical version.

Findings

New simplified branching recurrence is equivalent to the canonical version

Simplification facilitates better understanding of computability logic

Potential for easier implementation of branching recurrence operations

Abstract

This letter introduces a new, substantially simplified version of the branching recurrence operation of computability logic (see http://www.cis.upenn.edu/~giorgi/cl.html), and proves its equivalence to the old, "canonical" version.