Boolean algebra, and other forms of abstract propositional logic, are based on dealing with compound propositions made up of simple propositions joined by logical connectors like "and", "or", and ...

Marie Duží, If structured propositions are logical procedures then how are procedures individuated?, Synthese, Vol. 196, No. 4, Special Issue on Unity of Structured Propositions (April 2019), pp. 1249 ...

More than an introductory logic text, June 4, 2005, by D. Terry [Amazon.com] This book is a fine introduction to logic and the philosophy of logic. The book provides a basic introduction to ...

Logic studies the principles of valid thought, structuring rules and methods that help evaluate the consistency and validity of arguments, deductions, and propositions.

Structuring Logical Reasoning in LLMs The DoT framework articulates reasoning within an LLM as a well-defined DAG. This graph comprises nodes representing propositions, critiques, refinements, and ...

Symbolic AI represents problems using symbols and then uses logic to search for solutions.

Their contributions can be traced to unpublished lecture notes and other manuscripts by Hilbert and Bernays dating to the period 1917-1923. The aim of this paper is to describe these results, ...