Equality and fixpoints in the calculus of structures
CSL-LICS(2014)
摘要
The standard proof theory for logics with equality and fixpoints suffers from limitations of the sequent calculus, where reasoning is separated from computational tasks such as unification or rewriting. We propose in this paper an extension of the calculus of structures, a deep inference formalism, that supports incremental and contextual reasoning with equality and fixpoints in the setting of linear logic. This system allows deductive and computational steps to mix freely in a continuum which integrates smoothly into the usual versatile rules of multiplicative-additive linear logic in deep inference.
更多查看译文
关键词
deep inference,fixed points,linear logic,proof theory,theory,unification
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络