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» Proof Systems for Effectively Propositional Logic
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ICFP
2009
ACM
14 years 8 months ago
Effective interactive proofs for higher-order imperative programs
We present a new approach for constructing and verifying higherorder, imperative programs using the Coq proof assistant. We build on the past work on the Ynot system, which is bas...
Adam J. Chlipala, J. Gregory Malecha, Greg Morrise...
ECCC
2007
90views more  ECCC 2007»
13 years 7 months ago
Parameterized Proof Complexity: a Complexity Gap for Parameterized Tree-like Resolution
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixed-parameter tractable. We consider proofs that witness that a given pro...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
ICALP
2010
Springer
14 years 6 days ago
On p-Optimal Proof Systems and Logics for PTIME
We prove that TAUT has a p-optimal proof system if and only if a logic related to least fixed-point logic captures polynomial time on all finite structures. Furthermore, we show ...
Yijia Chen, Jörg Flum
BSL
1999
103views more  BSL 1999»
13 years 7 months ago
The logic of bunched implications
We consider a classical (propositional) version, CBI, of O'Hearn and Pym's logic of bunched implications (BI) from a model- and prooftheoretic perspective. We present a c...
Peter W. O'Hearn, David J. Pym
FROCOS
2005
Springer
14 years 28 days ago
Connecting a Logical Framework to a First-Order Logic Prover
We present one way of combining a logical framework and first-order logic. The logical framework is used as an interface to a first-order theorem prover. Its main purpose is to k...
Andreas Abel, Thierry Coquand, Ulf Norell