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Higher-order representation of substructural logics [PDF]

open access: yesACM SIGPLAN Notices, 2010
We present a technique for higher-order representation of substructural logics such as linear or modal logic. We show that such logics can be encoded in the (ordinary) Logical Framework, without any linear or modal extensions. Using this encoding, metatheoretic proofs about such logics can easily be developed in the Twelf proof assistant.
openaire   +1 more source

A Logical Modeling of Severe Ignorance. [PDF]

open access: yesJ Philos Logic, 2023
Bonzio S   +3 more
europepmc   +1 more source

On Affine Logic and {\L}ukasiewicz Logic [PDF]

open access: yes, 2014
The multi-valued logic of {\L}ukasiewicz is a substructural logic that has been widely studied and has many interesting properties. It is classical, in the sense that it admits the axiom schema of double negation, [DNE]. However, our understanding of {\L}
Arthan, Rob, Oliva, Paulo
core  

Characterizing logic grammars: A substructural logic approach

open access: yesThe Journal of Logic Programming, 1996
Summary: A characterization of static discontinuity grammars (SDGs), a logic grammar formalism due to Dahl, is given in this paper. A substructural logic sequent calculus proof system is given which is shown to be equivalent to SDGs for parsing problems in the sense that a string of terminal symbols is accepted by a grammar if and only if the ...
Andrews, James   +2 more
openaire   +1 more source

Logics and admissible rules of constructive set theories. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2023
Iemhoff R, Passmann R.
europepmc   +1 more source

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