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CG
2002
Springer
13 years 5 months ago
PDS-PN: A New Proof-Number Search Algorithm
Abstract. The paper introduces a new proof-number (PN) search algorithm, called PDS-PN. It is a two-level search, which performs at the first level a depth-first Proof-number and D...
Mark H. M. Winands, Jos W. H. M. Uiterwijk, H. Jaa...
CORR
2008
Springer
179views Education» more  CORR 2008»
13 years 5 months ago
Induction and Co-induction in Sequent Calculus
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...
Alwen Tiu, Alberto Momigliano
AGP
2010
IEEE
13 years 11 months ago
Proof-Theoretic and Higher-Order Extensions of Logic Programming
We review the Italian contribution to proof-theoretic and higher-order extensions of logic programming; this originated from the realization that Horn clauses lacked standard abstr...
Alberto Momigliano, Mario Ornaghi
FROCOS
2011
Springer
12 years 5 months ago
Automatic Proof and Disproof in Isabelle/HOL
Abstract. Isabelle/HOL is a popular interactive theorem prover based on higherorder logic. It owes its success to its ease of use and powerful automation. Much of the automation is...
Jasmin Christian Blanchette, Lukas Bulwahn, Tobias...
CADE
2006
Springer
14 years 6 months ago
Automating Proofs in Category Theory
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...
Dexter Kozen, Christoph Kreitz, Eva Richter