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CSL
2010
Springer
13 years 11 months ago
Formal Theories for Linear Algebra
We introduce two-sorted theories in the style of [CN10] for the complexity classes L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then desc...
Stephen Cook, Lila Fontes
NDJFL
1998
105views more  NDJFL 1998»
13 years 9 months ago
Idempotent Full Paraconsistent Negations are not Algebraizable
Using methods of abstract logic and the theory of valuation, we prove that there is no paraconsistent negation obeying the law of double negation and such that ¬(a ∧ ¬a) is a t...
Jean-Yves Béziau
CC
2009
Springer
142views System Software» more  CC 2009»
14 years 10 months ago
Extensible Proof-Producing Compilation
This paper presents a compiler which produces machine code from functions defined in the logic of a theorem prover, and at the same time proves that the generated code executes the...
Magnus O. Myreen, Konrad Slind, Michael J. C. Gord...
CADE
2007
Springer
14 years 10 months ago
Encoding First Order Proofs in SAT
We present a method for proving rigid first order theorems by encoding them as propositional satisfiability problems. We encode the existence of a first order connection tableau an...
Todd Deshane, Wenjin Hu, Patty Jablonski, Hai Lin,...
ICFP
2008
ACM
14 years 10 months ago
Pattern minimization problems over recursive data types
In the context of program verification in an interactive theorem prover, we study the problem of transforming function definitions with ML-style (possibly overlapping) pattern mat...
Alexander Krauss