Intersection types for λGtz-calculus | Zendy

Silvia Ghilezan | Zendy; Jelena Ivetić | Zendy

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Intersection types for λGtz-calculus

Author(s) -

Silvia Ghilezan,

Jelena Ivetić

Publication year - 2007

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim0796085g

Subject(s) - intersection (aeronautics) , calculus (dental) , natural deduction , sequent calculus , mathematics , cut elimination theorem , sequent , type (biology) , lambda calculus , property (philosophy) , curry–howard correspondence , discrete mathematics , proof calculus , geometry , engineering , philosophy , medicine , epistemology , ecology , mathematical proof , dentistry , biology , aerospace engineering

We introduce an intersection type assignment system for Espirito- Santo's λGtz-calculus, a term calculus embodying the Curry-Howard corre- spondence for the intuitionistic sequent calculus. We investigate basic prop- erties of this intersection type system. Our main result is Subject reduction property.

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