On First-Order Model-Based Reasoning
arXiv:1502.02535 · doi:10.1007/978-3-319-23165-5_8
Abstract
Reasoning semantically in first-order logic is notoriously a challenge. This paper surveys a selection of semantically-guided or model-based methods that aim at meeting aspects of this challenge. For first-order logic we touch upon resolution-based methods, tableaux-based methods, DPLL-inspired methods, and we give a preview of a new method called SGGS, for Semantically-Guided Goal-Sensitive reasoning. For first-order theories we highlight hierarchical and locality-based methods, concluding with the recent Model-Constructing satisfiability calculus.
In Narciso Marti-Oliet, Peter Olveczky, and Carolyn Talcott (Eds.), "Logic, Rewriting, and Concurrency: Essays in Honor of Jose Meseguer" Springer, Lecture Notes in Computer Science 9200, September 2015, 24 pages. Version v4 in arxiv fixes a typo on page 15 that remains in the version published in the Springer book