We give the precise correspondence between polarized linear logic and polarized classical logic. The properties of focalization and reversion of linear proofs are at the heart of ...
Olivier Laurent, Myriam Quatrini, Lorenzo Tortora ...
We prove full completeness of multiplicative linear logic (MLL) without MIX under the Chu interpretation. In particular we show that the cut-free proofs of MLL theorems are in a n...
Harish Devarajan, Dominic J. D. Hughes, Gordon D. ...
Abstract. Product logic is an important t-norm based fuzzy logic with conjunction interpreted as multiplication on the real unit interval [0, 1], while Cancellative hoop logic CHL ...
The aim of this work is to give an alternative presentation for the multiplicative fragment of Yetter’s cyclic linear logic. The new presentation is inspired by the calculus of s...
The theory of cut-free sequent proofs has been used to motivate and justify the design of a number of logic programming languages. Two such languages, Prolog and its linear logic ...