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TPHOL
1999
IEEE
13 years 11 months ago
Three Tactic Theorem Proving
Abstract. We describe the key features of the proof description language of Declare, an experimental theorem prover for higher order logic. We take a somewhat radical approach to p...
Don Syme
AAAI
2010
13 years 9 months ago
Parallel Depth First Proof Number Search
The depth first proof number search (df-pn) is an effective and popular algorithm for solving and-or tree problems by using proof and disproof numbers. This paper presents a simpl...
Tomoyuki Kaneko
ENTCS
2007
92views more  ENTCS 2007»
13 years 7 months ago
A Duality in Proof Systems for Recursive Type Equality and for Bisimulation Equivalence on Cyclic Term Graphs
This paper is concerned with a proof-theoretic observation about two kinds of proof systems for regular cyclic objects. It is presented for the case of two formal systems that are...
Clemens Grabmayer
CSL
2002
Springer
13 years 7 months ago
Open Proofs and Open Terms: A Basis for Interactive Logic
In the process of interactive theorem proving one often works with incomplete higher order proofs. In this paper we address the problem of giving a correctness criterion for these ...
Herman Geuvers, Gueorgui I. Jojgov
FOCS
2004
IEEE
13 years 11 months ago
Assignment Testers: Towards a Combinatorial Proof of the PCP-Theorem
In this work we look back into the proof of the PCP Theorem, with the goal of finding new proofs that are "more combinatorial" and arguably simpler. For that we introduc...
Irit Dinur, Omer Reingold