Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2014 | 10.1145/2603088.2603140 | CSL-LICS |
Keywords | Field | DocType |
fixed points,deep inference,linear logic,proof theory,unification,theory | Deep inference,Discrete mathematics,Computer science,Natural deduction,Unification,Proof calculus,Sequent calculus,Proof theory,Noncommutative logic,Linear logic,Calculus | Conference |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Kaustuv Chaudhuri | 1 | 184 | 16.81 |
Nicolas Guenot | 2 | 1 | 1.71 |