15 search results - page 1 / 3 » Induction and Co-induction in Sequent Calculus |
CORR
2012
Springer
12 years 18 days ago
2012
Springer
The paper describes the refinement algorithm for the Calculus of (Co)Inductive Constructions (CIC) implemented in the interactive theorem prover Matita. The refinement algorithm ...
JAR
2007
13 years 4 months ago
2007
Abstract. We illustrate a methodology for formalizing and reasoning about Abadi and Cardelli’s object-based calculi, in (co)inductive type theory, such as the Calculus of (Co)Ind...
CADE
2010
Springer
13 years 6 months ago
2010
Springer
Abstract. Focused proof systems provide means for reducing and structuring the non-determinism involved in searching for sequent calculus proofs. We present a focused proof system ...
ELP
1993
13 years 9 months ago
1993
We describe how the calculus of partial inductive definitions is used to represent logics. This calculus includes the powerful principle of definitional reflection. We describe two...
CORR
2008
Springer
13 years 5 months ago
2008
Springer
Abstract. Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent...