The field of theorem proving and higher‐order logic represents a confluence of computer science, mathematics and formal logic. It encompasses the automated and interactive approaches to establishing ...

Vol. 196, No. 7, Special Issue on Between First- and Second-Order Logie (July 2019), pp. 2671-2693 (23 pages) Many efforts have been made in recent years to construct formal systems for mechanizing ...

Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...