2- https://doi.org/10.1007/s10849-009-9101-1
Dynamic Non-Commutative Logic
- Sep 12, 2009
- Journal of Logic, Language and Information
- Norihiro Kamide
Abstract
A first-order dynamic non-commutative logic (DN), which has no structural rules and has some program operators, is introduced as a Gentzen-type sequent calculus. Decidability, cut-elimination and completeness theorems are shown for DN or its fragments. DN is intended to represent not only program-based, resource-sensitive, ordered, sequence-based, but also hierarchical (tree-based) reasoning.
- # Gentzen-type Sequent Calculus
- # Dynamic Logic
- # Completeness Theorems
- # First-order Dynamic Logic
- # Structural Rules
- # Program Operators
- # Decidability Theorems
- # Hierarchical Reasoning
- # Cut-elimination Theorems
- # First-order Logic
