Base-extension semantics for intuitionistic sentential logic

Base-extension semantics for intuitionistic sentential logic
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直觉句子逻辑的基础扩展语义

DOI:
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发表时间:
2015
影响因子:
1
通讯作者:
Tor Sandqvist
Tor Sandqvist
中科院分区:
数学4区
文献类型:
--
作者:
Tor Sandqvist

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直觉主义基本逻辑是健全的和完整的语义围绕原子基础(即原子句子的推理规则集)的扩展。这个结果是可能通过一个非标准的解释的析取,据此,粗略地说,一个析取被认为是成立的情况下,每个原子句子,从每个析取分别举行;有人认为,这种解释是有道理的,提供了规则的原子基地被认为是接受假设,而不是绝对的。
Intuitionistic sentential logic is shown to be sound and complete with respect to a semantics centered around extensions of atomic bases (i.e. sets of inference rules for atomic sentences). The result is made possible through a non-standard interpretation of disjunction, whereby, roughly speaking, a disjunction is taken to hold just in case every atomic sentence that follows from each of the disjuncts separately holds; it is argued that this interpretation makes good sense provided that rules in atomic bases are conceived of as being accepted hypothetically rather than categorically.
证明理论语义的完整性失败
DOI: 10.1007/s10992-014-9322-x
发表时间: 2014
影响因子: 1.5
作者:
Piecha;Schroeder-Heister;P. (with W. de Campos Sanz)
通讯作者: P. (with W. de Campos Sanz)