133 search results - page 13 / 27 » The basic intuitionistic logic of proofs |
FOSSACS
2005
Springer
14 years 7 days ago
2005
Springer
Abstract. Nominal logic is a variant of first-order logic equipped with a “freshname quantifier” N and other features useful for reasoning about languages with bound names. I...
APAL
2005
13 years 6 months ago
2005
A new semantics is presented for the logic of proofs (LP), [1, 2], based on the intuition that it is a logic of explicit knowledge. This semantics is used to give new proofs of se...
WOLLIC
2009
Springer
14 years 1 months ago
2009
Springer
Bi-intuitionistic logic is the extension of intuitionistic logic with exclusion, a connective dual to implication. Cut-elimination in biintuitionistic logic is complicated due to t...
CORR
2011
Springer
13 years 1 months ago
2011
Springer
Abstract. We show how to extract existential witnesses from classical proofs using Krivine’s classical realizability—where classical proofs are interpreted as λ-terms with the...
CADE
2006
Springer
14 years 7 months ago
2006
Springer
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...