A constructive game semantics for the language of linear logic
A system ET of first-order additive-multiplicative logic is introduced via game semantics and proved decidable. ET contains linear logic and is contained in BCK (linear logic plus weakening). The author notes similarity to a game semantics \(G\) introduced by \textit{A. Blass} [Ann. Pure Appl. Logic 56, 183-220 (1992; Zbl 0763.03008)] and conjectures that the method of the paper under review can be adapted to show the decidability of formulas valid in \(G\).
first-order additive-multiplicative logic
scientific article; zbMATH DE number 1038667