133 search results - page 13 / 27 » The basic intuitionistic logic of proofs |
159
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FOSSACS
2005
Springer
15 years 11 months 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...
136
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APAL
2005
15 years 5 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...
171
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WOLLIC
2009
Springer
16 years 2 days 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...
151
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CORR
2011
Springer
15 years 15 days 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...
142
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CADE
2006
Springer
16 years 5 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...