15 search results - page 2 / 3 » Induction and Co-induction in Sequent Calculus |
SAS
2007
Springer
13 years 11 months ago
2007
Springer
We present a framework for inductive definitions in the logic of bunched implications, BI, and formulate two sequent calculus proof systems for inductive reasoning in this framewo...
CADE
2006
Springer
14 years 5 months ago
2006
Springer
Abstract. We investigate cut-elimination and cut-simulation in impredicative (higher-order) logics. We illustrate that adding simple axioms such as Leibniz equations to a calculus ...
LPNMR
2009
Springer
13 years 12 months ago
2009
Springer
Abstract. The logic FO(ID) uses ideas from the field of logic programming to extend first order logic with non-monotone inductive definitions. The goal of this paper is to exten...
BIRTHDAY
2007
Springer
13 years 11 months ago
2007
Springer
Superdeduction is a systematic way to extend a deduction system like the sequent calculus by new deduction rules computed from the user theory. We show how this could be done in a ...
TPHOL
2002
IEEE
13 years 10 months ago
2002
IEEE
g Higher Order Abstract Syntax with Tactical Theorem Proving and (Co)Induction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 ...